投资学Chap022

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投资学Chap002

投资学Chap002

投资学Chap002CHAPTER 2: ASSET CLASSES AND FINANCIALINSTRUMENTSPROBLEM SETS1. Preferred stock is like long-term debt in that it typically promises a fixed paymenteach year. In this way, it is a perpetuity. Preferred stock is also like long-termdebt in that it does not give the holder voting rights in the firm.Preferred stock is like equity in that the firm is under no contractual obligation tomake the preferred stock dividend payments. Failure to make payments does not set off corporate bankruptcy. With respect to the priority of claims to the assets of thefirm in the event of corporate bankruptcy, preferred stock has a higher priority than common equity but a lower priority than bonds.2. Money market securities are called “cash equivalents” because of their greatliquidity. The prices of money market securities are very stable, and they can beconverted to cash (i.e., sold) on very short notice and with very low transactioncosts.3. (a) A repurchase agreement is an agreement whereby the seller of a securityagrees to “repurchase” it from the buyer on an agreed upon date at an agreedupon price. Repos are typically used by securities dealers as a means forobtaining funds to purchase securities.4. The spread will widen. Deterioration of the economy increases credit risk, that is,the likelihood of default. Investors will demand a greater premium on debtsecurities subject to default risk.5.6. Municipal Bond interest is tax-exempt. When facing higher marginal tax rates, ahigh-income investor would be more inclined to pick tax-exempt securities.7. a. You would have to pay the asked price of:86:14 = 86.43750% of par = $864.375b. The coupon rate is 3.5% implying coupon payments of $35.00 annually or,more precisely, $17.50 semiannually.c.Current yield = Annual coupon income/price= $35.00/$864.375 = 0.0405 = 4.05%dividends, the taxable income is: 0.30 ? $4 = $1.20Therefore, taxes are: 0.30 ? $1.20 = $0.36After-tax income is: $4.00 – $0.36 = $3.64Rate of return is: $3.64/$40.00 = 9.10%10. a. You could buy: $5,000/$67.32 = 74.27 sharesb. Your annual dividend income would be: 74.27 ? $1.52 = $112.89c. The price-to-earnings ratio is 11 and the price is $67.32. Therefore:$67.32/Earnings per share = 11 ? Earnings per share = $6.12d. General Dynamics closed today at $67.32, which was $0.47 higher than yesterday’s price. Yesterday’s closing price was: $66.8511. a. At t = 0, the value of the index is: (90 + 50 + 100)/3 = 80At t = 1, the value of the index is: (95 + 45 + 110)/3 = 83.333The rate of return is: (83.333/80) - 1 = 4.17%b. In the absence of a split, Stock C would sell for 110, so the value of theindex would be: 250/3 = 83.333After the split, Stock C sells for 55. Therefore, we need to find thedivisor (d) such that: 83.333 = (95 + 45 + 55)/d ? d = 2.340c. The return is zero. The index remains unchanged because the return foreach stock separately equals zero.12. a. Total market value at t = 0 is: ($9,000 + $10,000 + $20,000) = $39,000Total market value at t = 1 is: ($9,500 + $9,000 + $22,000) = $40,500Rate of return = ($40,500/$39,000) – 1 = 3.85%b.The return on each stock is as follows:r A = (95/90) – 1 = 0.0556r B = (45/50) – 1 = –0.10r C = (110/100) – 1 = 0.10The equally-weighted average is:[0.0556 + (-0.10) + 0.10]/3 = 0.0185 = 1.85%13. The after-tax yield on the corporate bonds is: 0.09 ? (1 – 0.30) = 0.0630 = 6.30% Therefore, municipals must offer at least 6.30% yields.14. Equation (2.2) shows that the equivalent taxable yield is: r = r m /(1 – t)a. 4.00%b. 4.44%15. In an equally-weighted index fund, each stock is given equal weight regardless of its market capitalization. Smaller cap stocks will have the same weight as larger cap stocks. The challenges are as follows:Given equal weights placed to smaller cap and larger cap, equal-weighted indices (EWI) will tend to be more volatile than their market-capitalization counterparts;It follows that EWIs are not good reflectors of the broad market whichthey represent; EWIs underplay the economic importance of largercompanies;Turnover rates will tend to be higher, as an EWI must be rebalancedback to its original target. By design, many of the transactions would beamong the smaller, less-liquid stocks.16. a. The higher coupon bond.b. The call with the lower exercise price.c. The put on the lower priced stock.17. a. You bought the contract when the futures price was $3.835 (see Figure2.10). The contract closes at a price of $3.875, which is $0.04 more than theoriginal futures price. The contract multiplier is 5000. Therefore, the gain willbe: $0.04 ? 5000 = $200.00b. Open interest is 177,561 contracts.18. a. Since the stock price exceeds the exercise price, you exercise the call.The payoff on the option will be: $21.75 - $21 = $0.75The cost was originally $0.64, so the profit is: $0.75 - $0.64 = $0.11b. If the call has an exercise price of $22, you would not exercise for any stockprice of $22 or less. The loss on the call would be the initial cost: $0.30c. Since the stock price is less than the exercise price, you will exercise the put.The payoff on the option will be: $22 - $21.75 = $0.25The option originally cost $1.63 so the profit is: $0.25 ? $1.63 = ?$1.3819. There is always a possibility that the option will be in-the-money at some time prior to expiration. Investors will pay something for this possibility of a positive payoff.20.Value of call at expiration Initial Cost Profitc. 0 4 -4d. 5 4 1e. 10 4 6Value of put at expiration Initial Cost Profita. 10 6 4b. 5 6 -1c. 0 6 -6d. 0 6 -6e. 0 6 -621. A put option conveys the right to sell the underlying asset at the exercise price. Ashort position in a futures contract carries an obligation to sell the underlying asset at the futures price.22. A call option conveys the right to buy the underlying asset at the exercise price.A long position in a futures contract carries an obligation to buy the underlyingasset at the futures price.CFA PROBLEMS1.(d)2. The equivalent taxable yield is: 6.75%/(1 - 0.34) = 10.23%3. (a) Writing a call entails unlimited potential losses as the stock price rises.4. a. The taxable bond. With a zero tax bracket, the after-tax yield for thetaxable bond is the same as the before-tax yield (5%), which is greater thanthe yield on the municipal bond.b. The taxable bond. The after-tax yield for the taxable bond is:0.05? (1 – 0.10) = 4.5%c. You are indifferent. The after-tax yield for the taxable bond is:0.05 ? (1 – 0.20) = 4.0%The after-tax yield is the same as that of the municipal bond.d. The municipal bond offers the higher after-tax yield for investors in taxbrackets above 20%.5.If the after-tax yields are equal, then: 0.056 = 0.08 × (1 – t)This implies that t = 0.30 =30%.。

投资学Chap011

投资学Chap011
• Stock prices that change in response to new (unpredictable) information also must move unpredictably.
• Stock price changes follow a random walk.
INVESTMENTS | BODIE, KANE, MARCUS
11-17
Weak-Form Tests
• Returns over the Short Horizon – Momentum: Good or bad recent performance continues over short to intermediate time horizons
• Returns over Long Horizons – Episodes of overshooting followed by correction
• Selection Bias Issue – Only unsuccessful investment schemes are made public; good schemes remain private.
• Lucky Event Issue
INVESTMENTS | BODIE, KANE, MARCUS
INVESTMENTS | BODIE, KANE, MARCUS
11-14
Event Studies
• Empirical financial research enables us to assess the impact of a particular event on a firm’s stock price.
Effects • Book-to-Market Ratios • Post-Earnings Announcement Price Drift

INVESTMENTS 投资学 (博迪BODIE, KANE, MARCUS)Chap023 Futures, Swaps, and Risk Management-PPT精选文

INVESTMENTS 投资学 (博迪BODIE, KANE, MARCUS)Chap023 Futures, Swaps, and Risk Management-PPT精选文
INVESTMENTS | BODIE, KANE, M2A3R-C1U3S
Creating Synthetic Positions with Futures
• Index futures let investors participate in broad market movements without actually buying or selling large amounts of stock.
Figure 23.4 Predicted Value of the Portfolio as a Function of the Market Index
INVESTMENTS | BODIE, KANE, M2A3R-C2U1S
Uses of Interest Rate Hedges
• A bond fund manager may seek to protect gains against a rise in rates.
• Settled in cash • Advantages over direct stock purchase
– lower transaction costs – better for timing or allocation
strategies – takes less time to acquire the
INVESTMENTS | BODIE, KANE, M2A3R-C1U7S
Hedging Systematic Risk
To protect against a decline in stock prices, short the appropriate number of futures index contracts.

投资学Chap021

投资学Chap021

Multiple Choice Questions1. Before expiration, the time value of an in the money stock option is alwaysA) equal to zero.B) positive.C) negative.D) equal to the stock price minus the exercise price.E) none of the above.Answer: B Difficulty: EasyRationale: The difference between the actual option price and the intrinsic value iscalled the time value of the option.2. A stock option has an intrinsic value of zero if the option isA) at the money.B) out of the money.C) in the money.D) A and C.E) A and B.Answer: E Difficulty: EasyRationale: Intrinsic value can never be negative; thus it is set equal to zero for out of the money and at the money options.3. Prior to expirationA) the intrinsic value of a call option is greater than its actual value.B) the intrinsic value of a call option is always positive.C) the actual value of call option is greater than the intrinsic value.D) the intrinsic value of a call option is always greater than its time value.E) none of the above.Answer: C Difficulty: ModerateRationale: Prior to expiration, any option will be selling for a positive price, thus theactual value is greater than the intrinsic value.4. If the stock price increases, the price of a put option on that stock __________ and thatof a call option __________.A) decreases, increasesB) decreases, decreasesC) increases, decreasesD) increases, increasesE) does not change, does not changeAnswer: A Difficulty: ModerateRationale: As stock prices increases, call options become more valuable (the owner can buy the stock at a bargain price). As stock prices increase, put options become less valuable (the owner can sell the stock at a price less than market price).5. Other things equal, the price of a stock call option is positively correlated with thefollowing factors exceptA) the stock price.B) the time to expiration.C) the stock volatility.D) the exercise price.E) none of the above.Answer: D Difficulty: ModerateRationale: The exercise price is negatively correlated with the call option price.6. The price of a stock put option is __________ correlated with the stock price and__________ correlated with the striking price.A) positively, positivelyB) negatively, positivelyC) negatively, negativelyD) positively, negativelyE) not, notAnswer: B Difficulty: ModerateRationale: The lower the stock price, the more valuable the call option. The higher the striking price, the more valuable the put option.7. All the inputs in the Black-Scholes Option Pricing Model are directly observable exceptA) the price of the underlying security.B) the risk free rate of interest.C) the time to expiration.D) the variance of returns of the underlying asset return.E) none of the above.Answer: D Difficulty: ModerateRationale: The variance of the returns of the underlying asset is not directly observable, but must be estimated from historical data, from scenario analysis, or from the prices of other options.8. Delta is defined asA) the change in the value of an option for a dollar change in the price of the underlyingasset.B) the change in the value of the underlying asset for a dollar change in the call price.C) the percentage change in the value of an option for a one percent change in the valueof the underlying asset.D) the change in the volatility of the underlying stock price.E) none of the above.Answer: A Difficulty: ModerateRationale: An option's hedge ratio (delta) is the change in the price of an option for $1 increase in the stock price.9. A hedge ratio of 0.70 implies that a hedged portfolio should consist ofA) long 0.70 calls for each short stock.B) short 0.70 calls for each long stock.C) long 0.70 shares for each short call.D) long 0.70 shares for each long call.E) none of the above.Answer: C Difficulty: ModerateRationale: The hedge ratio is the slope of the option value as a function of the stock value. A slope of 0.70 means that as the stock increases in value by $1, the option increases by approximately $0.70. Thus, for every call written, 0.70 shares of stock would be needed to hedge the investor's portfolio.10. A hedge ratio for a call option is ________ and a hedge ratio for a put option is ______.A) negative, positiveB) negative, negativeC) positive, negativeD) positive, positiveE) zero, zeroAnswer: C Difficulty: ModerateRationale: Call option hedge ratios must be positive and less than 1.0, and put option ratios must be negative, with a smaller absolute value than 1.0.11. A hedge ratio for a call is alwaysA) equal to one.B) greater than one.C) between zero and one.D) between minus one and zero.E) of no restricted value.Answer: C Difficulty: ModerateRationale: See rationale for test bank question 21.10.12. The dollar change in the value of a stock call option is alwaysA) lower than the dollar change in the value of the stock.B) higher than the dollar change in the value of the stock.C) negatively correlated with the change in the value of the stock.D) B and C.E) A and C.Answer: A Difficulty: ModerateRationale: The slope of the call option valuation function is less than one.13. The percentage change in the stock call option price divided by the percentage change inthe stock price is calledA) the elasticity of the option.B) the delta of the option.C) the theta of the option.D) the gamma of the option.E) none of the above.Answer: A Difficulty: ModerateRationale: Option price elasticity measures the percent change in the option price as a function of the percent change in the stock price.14. The elasticity of a stock call option is alwaysA) greater than one.B) smaller than one.C) negative.D) infinite.E) none of the above.Answer: A Difficulty: ModerateRationale: Option prices are much more volatile than stock prices, as option premiums are much lower than stock prices.15. The elasticity of a stock put option is alwaysA) positive.B) smaller than one.C) negative.D) infinite.E) none of the above.Answer: C Difficulty: ModerateRationale: As put options become more valuable as stock prices decline, the elasticity ofa put option must be negative.16. Portfolio A consists of 150 shares of stock and 300 calls on that stock. Portfolio Bconsists of 575 shares of stock. The call delta is 0.7. Which portfolio has a higher dollar exposure to a change in stock price?A) Portfolio BB) Portfolio AC) The two portfolios have the same exposure.D) A if the stock price increases and B if it decreases.E) B if the stock price decreases and A if it increases.Answer: A Difficulty: DifficultRationale: 300 calls (0.7) = 210 shares + 150 shares = 360 shares; 575 shares = 575 shares.17. Portfolio A consists of 500 shares of stock and 500 calls on that stock. Portfolio Bconsists of 800 shares of stock. The call delta is 0.6. Which portfolio has a higher dollar exposure to a change in stock price?A) Portfolio BB) Portfolio AC) The two portfolios have the same exposure.D) A if the stock price increases and B if it decreases.E) B if the stock price decreases and A if it increases.Answer: C Difficulty: DifficultRationale: 500 calls (0.6) = 300 shares + 500 shares = 800 shares; 800 shares = 800 shares.18. Portfolio A consists of 400 shares of stock and 400 calls on that stock. Portfolio Bconsists of 500 shares of stock. The call delta is 0.5. Which portfolio has a higher dollar exposure to a change in stock price?A) Portfolio BB) Portfolio AC) The two portfolios have the same exposure.D) A if the stock price increases and B if it decreases.E) B if the stock price decreases and A if it increases.Answer: B Difficulty: DifficultRationale: 400 calls (0.5) = 200 shares + 400 shares = 600 shares; 500 shares = 500 shares.19. Portfolio A consists of 600 shares of stock and 300 calls on that stock. Portfolio Bconsists of 685 shares of stock. The call delta is 0.3. Which portfolio has a higher dollar exposure to a change in stock price?A) Portfolio BB) Portfolio AC) The two portfolios have the same exposureD) A if the stock price increases and B if it decreases.E) B if the stock price decreases and A if it increases.Answer: B Difficulty: DifficultRationale: 300 calls (0.3) = 90 shares + 600 shares = 690 shares; 685 shares = 685shares.20. A portfolio consists of 100 shares of stock and 1500 calls on that stock. If the hedgeratio for the call is 0.7, what would be the dollar change in the value of the portfolio in response to a one dollar decline in the stock price?A) +$700B) +$500C) -$1,150D) -$520E) none of the aboveAnswer: C Difficulty: DifficultRationale: -$100 + [-$1,500(0.7)] = -$1,150.21. A portfolio consists of 800 shares of stock and 100 calls on that stock. If the hedge ratiofor the call is 0.5, what would be the dollar change in the value of the portfolio inresponse to a one dollar decline in the stock price?A) +$700B) -$850C) -$580D) -$520E) none of the aboveAnswer: B Difficulty: DifficultRationale: -$800 + [-$100(0.5)] = -$850.22. A portfolio consists of 225 shares of stock and 300 calls on that stock. If the hedge ratiofor the call is 0.4, what would be the dollar change in the value of the portfolio inresponse to a one dollar decline in the stock price?A) -$345B) +$500C) -$580D) -$520E) none of the aboveAnswer: A Difficulty: DifficultRationale: -$225 + [-$300(0.4)] = -$345.23. A portfolio consists of 400 shares of stock and 200 calls on that stock. If the hedge ratiofor the call is 0.6, what would be the dollar change in the value of the portfolio inresponse to a one dollar decline in the stock price?A) +$700B) +$500C) -$580D) -$520E) none of the aboveAnswer: D Difficulty: DifficultRationale: -$400 + [-$200(0.6)] = -$520.24. If the hedge ratio for a stock call is 0.30, the hedge ratio for a put with the sameexpiration date and exercise price as the call would be ________.A) 0.70B) 0.30C) -0.70D) -0.30E) -.17Answer: C Difficulty: DifficultRationale: Call hedge ratio = N(d1); Put hedge ratio = N(d1) - 1; 0.3 - 1.0 = -0.7.25. If the hedge ratio for a stock call is 0.50, the hedge ratio for a put with the sameexpiration date and exercise price as the call would be ________.A) 0.30B) 0.50C) -0.60D) -0.50E) -.17Answer: D Difficulty: DifficultRationale: Call hedge ratio = N(d1); Put hedge ratio = N(d1) - 1; 0.5 - 1.0 = -0.5.26. If the hedge ratio for a stock call is 0.60, the hedge ratio for a put with the sameexpiration date and exercise price as the call would be. _______.A) 0.60B) 0.40C) -0.60D) -0.40E) -.17Answer: D Difficulty: DifficultRationale: Call hedge ratio = N(d1); Put hedge ratio = N(d1) - 1; 0.6 - 1.0 = -0.4.27. If the hedge ratio for a stock call is 0.70, the hedge ratio for a put with the sameexpiration date and exercise price as the call would be _______.A) 0.70B) 0.30C) -0.70D) -0.30E) -.17Answer: D Difficulty: DifficultRationale: Call hedge ratio = N(d1); Put hedge ratio = N(d1) - 1; 0.7 - 1.0 = -0.3.28. A put option is currently selling for $6 with an exercise price of $50. If the hedge ratiofor the put is -0.30 and the stock is currently selling for $46, what is the elasticity of the put?A) 2.76B) 2.30C) -7.67D) -2.76E) -2.30Answer: E Difficulty: DifficultRationale: % stock price change = ($47 - $46)/$46 = 0.021739; % option price change = $5.70 - $6.00)/$6 = - 0.05; - 0.05/0.021739 = - 2.30.29. A put option on the S&P 500 index will best protect ________A) a portfolio of 100 shares of IBM stock.B) a portfolio of 50 bonds.C) a portfolio that corresponds to the S&P 500.D) a portfolio of 50 shares of AT&T and 50 shares of Xerox stocks.E) a portfolio that replicates the Dow.Answer: C Difficulty: EasyRationale: The S&P 500 index is more like a portfolio that corresponds to the S&P 500 and thus is more protective of such a portfolio than of any of the other assets.30. Higher dividend payout policies have a __________ impact on the value of the call anda __________ impact on the value of the put.A) negative, negativeB) positive, positiveC) positive, positiveD) negative, positiveE) zero, zeroAnswer: D Difficulty: ModerateRationale: Dividends lower the expected stock price, and thus lower the current call option value and increase the current put option value.31. A one dollar decrease in a call option's exercise price would result in a(n) __________in the call option's value of __________ one dollar.A) increase, more thanB) decrease, more thanC) decrease, less thanD) increase, less thanE) increase, exactlyAnswer: D Difficulty: ModerateRationale: Option prices are less than stock prices, thus changes in stock prices (market or exercise) are greater (in absolute terms) than are changes in prices of options.32. Which one of the following variables influence the value of options?I)Level of interest rates.II)Time to expiration of the option.III)Dividend yield of underlying stock.IV)Stock price volatility.A) I and IV only.B) II and III only.C) I, II, and IV only.D) I, II, III, and IV.E) I, II and III only.Answer: D Difficulty: ModerateRationale: All of the above variables affect option prices.33. An American call option buyer on a non-dividend paying stock willA) always exercise the call as soon as it is in the money.B) only exercise the call when the stock price exceeds the previous high.C) never exercise the call early.D) buy an offsetting put whenever the stock price drops below the strike price.E) none of the above.Answer: C Difficulty: ModerateRationale: An American call option buyer will not exercise early if the stock does not pay dividends; exercising forfeits the time value. Rather, the option buyer will sell the option to collect both the intrinsic value and the time value.34. Relative to European puts, otherwise identical American put optionsA) are less valuable.B) are more valuable.C) are equal in value.D) will always be exercised earlier.E) none of the above.Answer: B Difficulty: ModerateRationale: It is valuable to exercise a put option early if the stock drops below athreshold price; thus American puts should sell for more than European puts.35. Use the two-state put option value in this problem. S O = $100; X = $120; the twopossibilities for S T are $150 and $80. The range of P across the two states is _____; the hedge ratio is _______.A) $0 and $40; -4/7B) $0 and $50; +4/7C) $0 and $40; +4/7D) $0 and $50; -4/7E) $20 and $40; +1/2Answer: A Difficulty: DifficultRationale: When S T = $150; P = $0; when S T =$80: P = $40; ($0 - $40)/($150 - $80) = -4/7.36. Use the Black-Scholes Option Pricing Model for the following problem. Given: S O =$70; X = $70; T = 70 days; r = 0.06 annually (0.0001648 daily); σ = 0.020506 (dail y).No dividends will be paid before option expires. The value of the call option is_______.A) $10.16.B) $5.16.C) $0.00.D) $2.16.E) none of the above.Answer: B Difficulty: DifficultRationale: d2 = 0.1530277 - (0.020506)(70)1/2 = -0.01853781; N(d1) = 0.5600; N(d2) = 0.4919; C = 0.5600($70) - $70[e-(0.0001648)(70)]0.4919 = $5.16.37. Empirical tests of the Black-Scholes option pricing modelA) show that the model generates values fairly close to the prices at which optionstrade.B) show that the model tends to overvalue deep in the money calls and undervaluedeep out of the money calls.C) indicate that the mispricing that does occur is due to the possible early exercise ofAmerican options on dividend-paying stocks.D) A and C.E) A, B, and C.Answer: D Difficulty: DifficultRationale: Studies have shown that the model tends to undervalue deep in the money calls and to overvalue deep out of the money calls. The other statements are true.38. Options sellers who are delta-hedging would most likelyA) sell when markets are falling.B) buy when markets are rising.C) both A and B.D) sell whether markets are falling or rising.E) buy whether markets are falling or rising.Answer: C Difficulty: ModerateRationale: See text box page 774.Use the following to answer questions 39-43:An American-style call option with six months to maturity has a strike price of $35. The underlying stock now sells for $43. The call premium is $12.39. What is the intrinsic value of the call?A) $12B) $8C) $0D) $23E) none of the above.Answer: B Difficulty: EasyRationale: 43 - 35 = $8.40. What is the time value of the call?A) $8B) $12C) $0D) $4E) cannot be determined without more information.Answer: D Difficulty: ModerateRationale: 12 - (43 - 35) = $4.41. If the option has delta of .5, what is its elasticity?A) 4.17B) 2.32C) 1.79D) 0.5E) 1.5Answer: C Difficulty: DifficultRationale: [(12.50 - 12)/12] / [(44 - 43)/43] = 1.79.42. If the risk-free rate is 6%, what should be the value of a put option on the same stockwith the same strike price and expiration date?A) $3.00B) $2.02C) $12.00D) $5.25E) $8.00Answer: A Difficulty: DifficultRationale: P = 12 - 43 + 35/(1.06).5; P = $3.0043. If the company unexpectedly announces it will pay its first-ever dividend 3 months fromtoday, you would expect thatA) the call price would increase.B) the call price would decrease.C) the call price would not change.D) the put price would decrease.E) the put price would not change.Answer: B Difficulty: ModerateRationale: As an approximation, subtract the present value of the dividend from the stock price and recompute the Black-Scholes value with this adjusted stock price. Since the stock price is lower, the option value will be lower.44. Since deltas change as stock values change, portfolio hedge ratios must be constantlyupdated in active markets. This process is referred to asA) portfolio insurance.B) rebalancing.C) option elasticity.D) gamma hedging.E) dynamic hedging.Answer: E Difficulty: ModerateRationale: Dynamic hedgers will convert equity into cash in market declines to adjust for changes in option deltas.45. In volatile markets, dynamic hedging may be difficult to implement becauseA) prices move too quickly for effective rebalancing.B) as volatility increases, historical deltas are too low.C) price quotes may be delayed so that correct hedge ratios cannot be computed.D) volatile markets may cause trading halts.E) all of the above.Answer: E Difficulty: EasyRationale: All of the above correctly describe the problems associated with dynamic hedging in volatile markets.46. Rubinstein (1994) observed that the performance of the Black-Scholes model haddeteriorated in recent years, and he attributed this toA) investor fears of another market crash.B) higher than normal dividend payouts.C) early exercise of American call options.D) decreases in transaction costs.E) none of the above.Answer: A Difficulty: ModerateRationale: Options on the same stock with the same strike price should have the same implied volatility, but the exhibit progressively different implied volatilities.Rubinstein believes this is due to fear of another market crash.47. The time value of an option isI)the difference between the option's price and the value it would have if it wereexpiring immediately.II)the same as the present value of the option's expected future cash flows.III)the difference between the option's price and its expected future value.IV)different from the usual time value of money concept.A) IB) I and IIC) II and IIID) IIE) I and IVAnswer: E Difficulty: EasyRationale: The time value of an option is described by I, and is different from the time value of money concept frequently used in finance.48. You purchased a call option for a premium of $4. The call has an exercise price of $29and is expiring today. The current stock price is $31. What would be your best course of action?A) Exercise the call because the stock price is greater than the exercise price.B) Do not exercise the call because the stock price is greater than the exercise price.C) Do not exercise the call because the difference between the exercise price and thestock price is not enough to cover the amount of the premium.D) Exercise the call to get a positive net return on the investment.E) Do not exercise the call to avoid a negative net return on the investment.Answer: A Difficulty: ModerateRationale: If you exercise the call, your return will be ($31-29-4)/$4 = -50%. But if you don't exercise the call your return will be -$4/4 = -100%.49. As the underlying stock's price increased, the call option valuation function's slopeapproachesA) zero.B) one.C) two times the value of the stock.D) one-half time s the value of the stock.E) infinityAnswer: B Difficulty: ModerateRationale: As the stock price increases the value of the call option increases in price one for one with the stock price. The option is very likely to be exercised. This concept is illustrated graphically in Figure 21.1 on page 747.50. Relative to non-dividend-paying European calls, otherwise identical American calloptionsA) are less valuable.B) are more valuable.C) are equal in value.D) will always be exercised earlier.E) none of the above.Answer: C Difficulty: ModerateRationale: It never pays to exercise this call option before maturity. The holder of the call who wants to close out the position would be better off selling the call because the value of the call must exceed the potential proceeds from its exercise. Therefore the right to exercise the American call early has no value and it should be equal in value to the European call.51. The Black-Scholes formula assumes thatI)the risk-free interest rate is constant over the life of the option.II)the stock price volatility is constant over the life of the option.III)the expected rate of return on the stock is constant over the life of the option.IV)there will be no sudden extreme jumps in stock prices.A) I and IIB) I and IIIC) II and IID) I, II and IVE) I, II, III, and IVAnswer: D Difficulty: DifficultRationale: The risk-free rate and stock price volatility are assumed to be constant but the option value does not depend on the expected rate of return on the stock. The model also assumes that stock prices will not jump markedly.52. Which Excel formula is used to execute the Black-Scholes option pricing model?A) NORMALB) ABNORMALC) NORMSDISTD) DISTE) NORMALDISTAnswer: C Difficulty: EasyRationale: The textbook gives an example of how to use Excel to calculate some of the variables in the model. See Figure 21.8 on page 765.53. The hedge ratio of an option is also called the options _______.A) alphaB) betaC) sigmaD) deltaE) rhoAnswer: D Difficulty: EasyRationale: The two terms mean the same thing.54. Dollar movements in option prices is ________ than dollar movements in the stockprice, and rate of return volatility of options is ________ than stock return volatility.A) less, lessB) greater, greaterC) less, greaterD) greater, lessE) There is no particular pattern.Answer: C Difficulty: ModerateRationale: Options cost less than the stock, so movements in their prices cause greater percentage changesUse the following to answer questions 55-57:An American-style call option with six months to maturity has a strike price of $42. The underlying stock now sells for $50. The call premium is $14.55. What is the intrinsic value of the call?A) $12B) $10C) $8D) $23E) none of the above.Answer: C Difficulty: EasyRationale: 50 - 42 = $8.56. What is the time value of the call?A) $8B) $12C) $6D) $4E) cannot be determined without more information.Answer: C Difficulty: ModerateRationale: 14 - (50 - 42) = $6.57. If the company unexpectedly announces it will pay its first-ever dividend 4 months fromtoday, you would expect thatA) the call price would increase.B) the call price would decrease.C) the call price would not change.D) the put price would decrease.E) the put price would not change.Answer: B Difficulty: ModerateRationale: As an approximation, subtract the present value of the dividend from thestock price and recompute the Black-Scholes value with this adjusted stock price. Since the stock price is lower, the option value will be lower.Short Answer Questions58. Discuss the relationship between option prices and time to expiration, volatility of theunderlying stocks, and the exercise price.Answer: The longer the time to expiration, the higher the premium because it is more likely that an option will become more valuable (more time for the stock price tochange). The greater the volatility of the underlying stock, the greater the optionpremium; the more volatile the stock, the more likely it is that the option will become more valuable (e. g., move from an out of the money to an in the money option, orbecome more in the money). For call options, the lower the exercise price, the morevaluable the option, as the option owner can buy the stock at a lower price. For a put option, the lower the exercise price, the less valuable the option, as the owner of theoption may be required to sell the stock at a lower than market price.The purpose of this question is to insure that the student understands the relationships of the variables that determine option prices, and the differences and similarities of these variables on put and call option prices.Difficulty: Moderate59. Which of the variables affecting option pricing is not directly observable? If thisvariable is estimated to be higher or lower than the variable actually is how is the option valuation affected?Answer: The volatility of the underlying stock is not directly observable, but can be estimated from historic data. If the implied volatility is lower than the actual volatility of the stock, the option will be undervalued, as the higher the implied volatility, the higher the price of the option. Investors often use the implied volatility of the stock, i.e., the volatility of the stock implied by the price of the option. If investors think the actual volatility of the stock exceeds the implied volatility, the option would be considered to be underpriced. If actual volatility appears to be higher than the implied volatility, the "fair price" of the option would exceed the actual price.The purpose of this question is to determine whether the student understands how some investors use option pricing based on implied volatility to determine if the optionappears to be over or undervalued.Difficulty: Difficult60. What is an option hedge ratio? How does the hedge ratio for a call differ from that of aput (or are the two equivalent)? Explain.Answer: An option's hedge ratio is the change in the price of an option for a $1 increase in the stock price. A call option has a positive hedge ratio; a put option has a negative hedge ratio. The hedge ratio is the slope of the value function of the option evaluated at the current stock price.The purpose of this question is determine whether the student understands hedge ratios and how these ratios vary for puts and calls.Difficulty: Moderate。

31_博迪《投资学》Chap001资料

31_博迪《投资学》Chap001资料
• 货币市场上的债务型证券:期限短、流 动性强且风险小
• 货币市场上的固定收益型证券:长期证 券,这些证券有的违约风险较低相对比 较安全,有的风险相对较高。
INVESTMENTS | BODIE, KANE, MARCUS
1-5
普通股证券和衍生证券
• 普通股证券代表了证券持有者对公司的 权益或所有权.
INVESTMENTS | BODIE, KANE, MARCUS
1-17
住房融资的变化
传统方式
• 当地的储蓄机构为房主提 供抵押贷款
• 储蓄机构的主要资产: 长 期抵押贷款的组合
• 储蓄机构的主要负债: 储 户的存款
• “源于持有”
新兴方式
• 证券化: 房利美和房地美 购买抵押贷款并将它们捆 绑在一起组成资产池。
– 高级份额: 低风险, 最高评级
– 低级份额: 高风险, 低评级或垃圾评级
INVESTMENTS | BODIE, KANE, MARCUS
1-21
抵押贷款衍生工具
• 问题: 这种评级是错误的! 这种结构给高级 份额带来的风险远远高于预期。
INVESTMENTS | BODIE, KANE, MARCUS
• 抵押支持证券是指对相应 抵押贷款资产池的索取权。
• “源于分配”
INVESTMENTS | BODIE, KANE, MARCUS
1-18
图 1.4 抵押转递证券的现金流
INVESTMENTS | BODIE, KANE, MARCUS
1-19
住房融资的变化
• 房利美和房地美持有或担保符合条件的证 券化抵押贷款, 这些抵押贷款的风险很低且 被妥善记录.
• 由私营企业提供的以不符合条件的违约风 险高的次级贷款为支持的证券化产品.

投资学Chap

投资学Chap

CHAPTER 26: HEDGE FUNDSPROBLEM SETS1. No, a market-neutral hedge fund would not be a good candidate for an investor’s entireretirement portfolio because such a fund is not a diversified portfolio. The term ‘market-neutral’ refers to a portfolio position with respect to a specified market inefficiency.However, there could be a role for a market-neutral hedge fund in the investor’s overall portfolio; the market-neutral hedge fund can be thought of as an approach for theinvestor to add alpha to a more passive investment position such as an index mutualfund.2. The incentive fee of a hedge fund is part of the hedge fund compensation structure; theincentive fee is typically equal to 20% of the hedge fund’s profits beyond a particularbenchmark rate of return. Therefore, the incentive fee resembles the payoff to a call option, which is more valuable when volatility is higher. Consequently, the hedge fund portfolio manager is motivated to take on high-risk assets in the portfolio, thereby increasingvolatility and the value of the incentive fee.3. There are a number of factors that make it harder to assess the performance of a hedgefund portfolio manager than a typical mutual fund manager. Some of these factors are:∙Hedge funds tend to invest in more illiquid assets so that an apparent alpha may be in fact simply compensation for illiquidity.∙Hedge funds’ valuation of less liquid assets is questionable.∙Survivorship bias and backfill bias result in hedge fund databases that report performance only for more successful hedge funds.∙Hedge funds typically have unstable risk characteristics making performance evaluation that depends on a consistent risk profile problematic.∙Tail events skew the distribution of hedge fund outcomes, making it difficult to obtain a representative sample of returns over relatively short periods of time.4. No, statistical arbitrage is not true arbitrage because it does not involve establishing risk-free positions based on security mispricing. Statistical arbitrage is essentially a portfolio of risky bets. The hedge fund takes a large number of small positions based on apparent small, temporary market inefficiencies, relying on the probability that the expectedreturn for the totality of these bets is positive.5. Management fee = 0.02 × $1 billion = $20 millionPortfolio rate of return (%) Incentive fee (%) Incentive fee ($ million) Total fee ($ million) Total fee (%) a.b.0 0 0 20 2 c.5 0 0 20 2 d.10 20 10 30 3 6. a.Since the hedge fund manager has a long position in the Waterworks stock, he should sell six contracts, computed as follows: 61,500$2500.75$3,000,000=⨯⨯contracts b.The standard deviation of the monthly return of the hedged portfolio is equal to the standard deviation of the residuals, which is 6%. The standard deviation of the residuals for the stock is the volatility that cannot be hedged away. For a market-neutral (zero-beta) position, this is also the total standard deviation. c.The expected rate of return of the market-neutral position is equal to the risk-free rate plus the alpha: 0.5% + 2.0% = 2.5% We assume that monthly returns are approximately normally distributed. The z-value for a rate of return of zero is: −2.5%/6.0% = −0.4167 Therefore, the probability of a negative return is: N(−0.4167) = 0.3385 7. a. The residual standard deviation of the portfolio is smaller than each stock’s standard deviation by a factor of 100 = 10 or, equivalently, the residual variance deviation of 6%, residual standard deviation is now 0.6%. b. The expected return of the market-neutral position is still equal to the risk-free rate plus the alpha:0.5% + 2.0% = 2.5%Now the z-value for a rate of return of zero is:−2.5%/0.6% = −4.1667Therefore, the probability of a negative return is: N(-4.1667) = 1.55 × 10-5A negative return is very unlikely.8. a. For the (now improperly) hedged portfolio:Variance = (0.252 × 52) + 62 = 37.5625Standard deviation = 6.129%b.Since the manager has misestimated the beta of Waterworks, the manager will sell four S&P 500 contracts (rather than the six contracts in Problem 6):41,500$2500.50$3,000,000=⨯⨯contracts The portfolio is not completely hedged so the expected rate of return is nolonger 2.5%. We can determine the expected rate of return by first computingthe total dollar value of the stock plus futures position. The dollar value ofthe stock portfolio is:$3,000,000 × (1 + r portfolio ) =$3,000,000 × [1 + 0.005 + 0.75 (r M – 0.005) + 0.02 + e] =$3,063,750 + ($2,250,000 × r M ) + ($3,000,000 × e)The dollar proceeds from the futures position equal:4 × $250 × (F 0 − F 1) = $1,000 × [(S 0 × 1.005) – S 1] =$1,000 × S 0 [1.005 – (1 + r M )] = $1,000 × [1,500 × (0.005 – r M )] =$7,500 − ($1,500,000 × r M )The total value of the stock plus futures position at the end of the month is:$3,071,250 + ($750,000 × r M ) + ($3,000,000 × e) =$3,071,250 + ($750,000 × 0.01) + ($3,000,000 × e) =$3,078,750 + ($3,000,000 × e)The expected rate of return for the (improperly) hedged portfolio is:($3,078,750/$3,000,000) – 1 = 0.02625 = 2.625%Now the z-value for a rate of return of zero is:−2.625%/6.129% = −0.4283The probability of a negative return is: N(-0.4283) = 0.3342Here, the probability of a negative return is very close to the probabilitycomputed in Problem 6.c. The variance for the diversified (but improperly hedged) portfolio is:(0.252 × 52) + 0.62 = 1.9225Standard deviation = 1.3865%The z-value for a rate of return of zero is:−2.625%/1.3865% = −1.8933The probability of a negative return is: N(-1.8933) = 0.0292The probability of a negative return is now far greater than the result with properhedging in Problem 7.d. The market exposure from improper hedging is far more important in contributingto total volatility (and risk of losses) in the case of the 100-stock portfolio becausethe idiosyncratic risk of the diversified portfolio is so small.9. The incentive fee is typically equal to 20% of the hedge fund’s profits beyond aparticular benchmark rate of return. However, if a fund has experienced losses in the past, then the fund may not be able to charge the incentive fee unless the fund exceeds its previous high water mark. The incentive fee is less valuable if the high-water mark is $67, rather than $66. With a high-water mark of $67, the net asset value of the fund must reach $67 before the hedge fund can assess the incentive fee. The high-watermark for a hedge fund is equivalent to the exercise price for a call option on an asset with a current market value equal to the net asset value of the fund.10. a. First, compute the Black Scholes value of a call option with the followingparameters:S0 = 62X = 66R = 0.04σ= 0.50T = 1 yearTherefore: C = $11.685The value of the annual incentive fee is:0.20 × C = 0.20 × $11.685 = $2.337b. Here we use the same parameters used in the Black-Scholes model in part (a) withthe exception that: X = 62Now: C = $13.253The value of the annual incentive fee is0.20 × C = 0.20 × $13.253 = $2.651c. Here we use the same parameters used in the Black-Scholes model in part (a) with theexception that:X = S0 × e0.04 = 62 × e0.04 = 64.5303Now: C = $12.240The value of the annual incentive fee is0.20 × C = 0.20 × $12.240 = $2.448d. Here we use the same parameters used in the Black-Scholes model in part (a) withthe exception that: X = 62 and = 0.60Now: C = $15.581The value of the annual incentive fee is0.20 × C = 0.20 × $15.581 = $3.11611. a. The spreadsheet indicates that the end-of-month value for the S&P 500 inSeptember 1977 was 96.53, so the exercise price of the put written at the beginningof October 1977 would have been:0.95 × 96.53 = 91.7035At the end of October, the value of the index was 92.34, so the put would haveexpired out of the money and th e put writer’s payout was zero. Since it is unusualfor the S&P 500 to fall by more than 5 percent in one month, all but ten of the 120months between October 1977 and September 1987 would have a payout of zero.The first month with a positive payout would have been January 1978. Theexercise price of the put written at the beginning of January 1978 would havebeen:0.95 × 95.10 = 90.3450At the end of January, the value of the index was 89.25 (more than a 6%decline), so the option writer’s payout would ha ve been:90.3450 – 89.25 = 1.0950The average gross monthly payout for the period would have been 0.2437 andthe standard deviation would have been 1.0951.b. In October 1987, the S&P 500 decreased by more than 21%, from 321.83 to251.79. The exercise price of the put written at the beginning of October 1987would have been:0.95 × 321.83 = 305.7385At the end of October, the option writer’s payout would have been:305.7385 – 251.79 = 53.9485The average gross monthly payout for the period October 1977 through October1987 would have been 0.6875 and the standard deviation would have been5.0026. Apparently, tail risk in naked put writing is substantial.12. a. In order to calculate the Sharpe ratio, we first calculate the rate of return for eachmonth in the period October 1982-September 1987. The end of month value forthe S&P 500 in September 1982 was 120.42, so the exercise price for the Octoberput is:0.95 × 120.42 = 114.3990Since the October end of month value for the index was 133.72, the put expiredout of the money so that there is no payout for the writer of the option. The rate ofreturn the hedge fund earns on the index is therefore equal to:(133.72/120.42) – 1 = 0.11045 = 11.045%Assuming that the hedge fund invests the $0.25 million premium along with the$100 million beginning of month value, then the end of month value of the fund is: $100.25 million × 1.11045 = $111.322 millionThe rate of return for the month is:($111.322/$100.00) – 1 = 0.11322 = 11.322%The first month that the put expires in the money is May 1984. The end ofmonth value for the S&P 500 in April 1984 was 160.05, so the exercise pricefor the May put is:0.95 × 160.05 = 152.0475The May end of month value for the index was 150.55, and therefore thepayout for the writer of a put option on one unit of the index is:152.0475 – 150.55 = 1.4975The rate of return the hedge fund earns on the index is equal to:(150.55/160.05) – 1 = -0.05936 = –5.936%The payout of 1.4975 per unit of the index reduces the hedge fund’s rate ofreturn by:1.4975/160.05 = 0.00936 = 0.936%The rate of return the hedge fund earns is therefore equal to:–5.936% – 0.936% = –6.872%The end of month value of the fund is:$100.25 million × 0.93128 = $93.361 millionThe rate of return for the month is:($93.361/$100.00) – 1 = –0.06639 = –6.639%For the period October 1982-September 1987:Mean monthly return = 1.898%Standard deviation = 4.353%Sharpe ratio = (1.898% – 0.7%)/4.353% = 0.275b. For the period October 1982-October 1987:Mean monthly return = 1.238%Standard deviation = 6.724%Sharpe ratio = (1.238% – 0.7%)/6.724% = 0.08013. a., b., c.Hedge Fund 1 HedgeFund 2HedgeFund 3Fundof FundsStand-AloneFundStart of year value (millions) $100.0 $100.0 $100.0 $300.0 $300.0 Gross portfolio rate of return 20% 10% 30%End of year value (before fee) $120.0 $110.0 $130.0 $360.0 Incentive fee (Individual funds) $4.0 $2.0 $6.0 $12.0End of year value (after fee) $116.0 $108.0 $124.0 $348.0 $348.0 Incentive fee (Fund of Funds) $9.6End of year value (Fund of Funds) $338.4Rate of return (after fee) 16.0% 8.0% 24.0% 12.8% 16.0% Note that the end of year value (after-fee) for the Stand-Alone (SA) Fund is the same as the end of year value for the Fund of Funds (FF) before FF charges its extra layer of incentive fees. Therefore, the investor’s rate of return in SA (16.0%) is higher than in FF (12.8%) by an amount equal to the extra layer of fees ($9.6 million, or 3.2%) charged by the Fund of Funds.d.HedgeFund 1 HedgeFund 2HedgeFund 3Fundof FundsStand-AloneFundStart of year value (millions) $100.0 $100.0 $100.0 $300.0 $300.0 Gross portfolio rate of return 20% 10% -30%End of year value (before fee) $120.0 $110.0 $70.0 $300.0Incentive fee (Individual funds) $4.0 $2.0 $0.0 $0.0 End of year value (after fee) $116.0 $108.0 $70.0 $294.0 $300.0 Incentive fee (Fund of Funds) $0.0End of year value (Fund of Funds) $294.0Rate of return (after fee) 16.0% 8.0% -30.0% -2.0% 0.0% Now, the end of year value (after fee) for SA is $300, while the end of year value for FF is only $294, despite the fact that neither SA nor FF charge an incentive fee. The reason for the difference is the fact that the Fund of Funds pays an incentive fee to each of the component portfolios. If even one of these portfolios does well, there will be anincentive fee charged. In contrast, SA charges an incentive fee only if the aggregateportfolio does well (at least better than a 0% return). The fund of funds structuretherefore results in total fees at least as great as (and usually greater than) the stand-alone structure.。

Chap002投资学(英)《Asset Classes and Financial Instruments》

Chap002投资学(英)《Asset Classes and Financial Instruments》
P n = market price of the T-bill = number of days to maturity
• Example: 90-day T-bill, P = $9,875
r BD =
$10,000
- $9,875
$10,000
360 = 5% × 90
2-14
2.1 The Money Market
Brothers
• Reserve Primary Fund ―broke the buck‖ • Run on money market funds ensued • U.S. Treasury temporarily offered to insure all
money funds
2-12
2.1 The Money Market
stock on margin
• Loan may be ―called in‖ by broker
2-9
Figure 2.1 Treasury Bills (T-Bills)
Source: The Wall Street Journal Online, July 7, 2011.
2-10
Figure 2.2 Spreads on CDs and Treasury Bills
• New Innovation: Asset-backed commercial paper
2-5
2.1 The Money Market
• Bankers’ Acceptances
• Originate when a purchaser authorizes a bank to
pay a seller for goods at later date (time draft)

投资学investment课件 Chap012

投资学investment课件 Chap012
– Tides: a primary direction or trend 基本趋势, – Waves: a secondary reaction or intermediate trend次级反应或中级趋势 – Ripples: tertiary or minor trends 第三或小趋势
12-5
B bearish signal Sell point HPQ
MA
A bullish signal Buy point
12-14
3. Support and Resistance Levels趋势线
• A support level支撑线(下限) is the lower limit to price fluctuations; • Resistance level阻力线(上限) is the higher limit to price fluctuations. • Why called support and resistance level?
12-17
Practical application
support price
resist price
250day MA
Break out at April 30 12-18
4.Candlesticks Chart(蜡烛线,K线,阴阳线)
• Candlesticks charts have been used in Japan to chart rice prices for several centuries, but only recently they have become popular in the US.
4 Candlesticks(K线)
12-3
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Multiple Choice Questions1. A futures contractA) is an agreement to buy or sell a specified amount of an asset at the spot price on theexpiration date of the contract.B) is an agreement to buy or sell a specified amount of an asset at a predeterminedprice on the expiration date of the contract.C) gives the buyer the right, but not the obligation, to buy an asset some time in thefuture.D) is a contract to be signed in the future by the buyer and the seller of the commodity.E) none of the above.Answer: B Difficulty: EasyRationale: A futures contract locks in the price of a commodity to be delivered at some future date. Both the buyer and seller of the contract are committed.2. The terms of futures contracts __________ standardized, and the terms of forwardcontracts __________ standardized.A) are; areB) are not; areC) are; are notD) are not; are notE) are; may or may not beAnswer: C Difficulty: EasyRationale: Futures contracts are standardized and are traded on organized exchanges;forward contracts are not traded on organized exchanges, the participant negotiates for the delivery of any quantity of goods, and banks and brokers negotiate contracts asneeded.3. Futures contracts __________ traded on an organized exchange, and forward contracts__________ traded on an organized exchange.A) are not; areB) are; areC) are not; are notD) are; are notE) are; may or may not beAnswer: D Difficulty: EasyRationale: See rationale for test bank question 22.2.4. In a futures contract the futures price isA) determined by the buyer and the seller when the delivery of the commodity takesplace.B) determined by the futures exchange.C) determined by the buyer and the seller when they initiate the contract.D) determined independently by the provider of the underlying asset.E) none of the above.Answer: C Difficulty: ModerateRationale: The futures exchanges specify all the terms of the contracts except price; as a result, the traders bargain over the futures price.5. The buyer of a futures contract is said to have a __________ position and the seller of afutures contract is said to have a __________ position in futures.A) long; shortB) long; longC) short; shortD) short; longE) margined; longAnswer: A Difficulty: ModerateRationale: The trader taking the long position commits to purchase the commodity on the delivery date. The trader taking the short position commits to delivering thecommodity at contract maturity. The trader in the long position is said to "buy" the contract; the trader in the short position is said to "sell" the contract. However, no money changes hands at this time.6. Investors who take long positions in futures agree to __________ of the commodity onthe delivery date, and those who take the short positions agree to __________ of the commodity.A) make delivery; take deliveryB) take delivery; make deliveryC) take delivery; take deliveryD) make delivery; take deliveryE) negotiate the price; pay the priceAnswer: B Difficulty: ModerateRationale: See explanation for test bank question 22.5.7. The terms of futures contracts such as the quality and quantity of the commodity and thedelivery date areA) specified by the buyers and sellers.B) specified only by the buyers.C) specified by the futures exchanges.D) specified by brokers and dealers.E) none of the above.Answer: C Difficulty: ModerateRationale: See rationale for test bank question 22.4.8. A trader who has a __________ position in wheat futures believes the price of wheatwill __________ in the future.A) long; increaseB) long; decreaseC) short; increaseD) long; stay the sameE) short; stay the sameAnswer: A Difficulty: ModerateRationale: The trader holding the long position (the person who will purchase the goods) will profit from a price increase. Profit to long position = Spot price at maturity -Original futures price.9. A trader who has a __________ position in gold futures wants the price of gold to__________ in the future.A) long; decreaseB) short; decreaseC) short; stay the sameD) short; increaseE) long; stay the sameAnswer: B Difficulty: ModerateRationale: Profit to short position = Original futures price - Spot price at maturity. Thus, the person in the short position profits if the price of the commodity declines in the future.10. The open interest on silver futures at a particular time is theA) number of silver futures contracts traded during the day.B) number of outstanding silver futures contracts for delivery within the next month.C) number of silver futures contracts traded the previous day.D) number of all silver futures outstanding contracts.E) none of the above.Answer: D Difficulty: ModerateRationale: Open interest is the number of contracts outstanding. When contracts begin trading, open interest is zero; as time passes more contracts are entered. Most contracts are liquidated before the maturity date.11. Which one of the following statements regarding delivery is true?A) Most futures contracts result in actual delivery.B) Only one to three percent of futures contracts result in actual delivery.C) Only fifteen percent of futures contracts result in actual delivery.D) Approximately fifty percent of futures contracts result in actual delivery.E) Futures contracts never result in actual delivery.Answer: B Difficulty: ModerateRationale: Virtually all traders enter reversing trades to cancel their original positions, thereby realizing profits or losses on the contract.12. You hold one long corn futures contract that expires in April. To close your position incorn futures before the delivery date you mustA) buy one May corn futures contract.B) buy two April corn futures contract.C) sell one April corn futures contract.D) sell one May corn futures contract.E) none of the above.Answer: C Difficulty: ModerateRationale: The long position is considered the buyer; to close out the position one must take a reversing position, or sell the contract.13. Which one of the following statements is true?A) The maintenance margin is the amount of money you post with your broker whenyou buy or sell a futures contract.B) The maintenance margin determines the value of the margin account below whichthe holder of a futures contract receives a margin call.C) A margin deposit can only be met with cash.D) All futures contracts require the same margin deposit.E) The maintenance margin is set by the producer of the underlying asset.Answer: B Difficulty: ModerateRationale: The maintenance margin applies to the value of the account after the account is opened; if the value of this account falls below the maintenance margin requirement and the holder of the contract will receive a margin call. A margin deposit can be made with cash or interest-earning securities; the margin deposit amounts depend on thevolatility of the underlying asset.14. Financial futures contracts are actively traded on the following indices exceptA) the S&P 500 Index.B) the New York Stock Exchange Index.C) the Nikkei Index.D) the Dow Jones Industrial Index.E) all of the above indices have actively traded futures contracts.Answer: E Difficulty: ModerateRationale: To meet anticipated demand, contracts on the Dow were added in 1997 to these existing indexes. The indices are listed in Table 22.1 on page 798.15. To exploit an expected increase in interest rates, an investor would most likelyA) sell Treasury bond futures.B) take a long position in wheat futures.C) buy S&P 500 index futures.D) take a long position in Treasury bond futures.E) none of the above.Answer: A Difficulty: DifficultRationale: If interest rates rise, bond prices decrease. As bond prices decrease, the short position gains. Thus, if you are bearish about bond prices, you might speculate byselling T-bond futures contracts.16. An investor with a long position in Treasury notes futures will profit ifA) interest rates decline.B) interest rate increase.C) the prices of Treasury notes increase.D) the price of the long bond increases.E) none of the above.Answer: A Difficulty: ModerateRationale: Profit to long position = Spot price at maturity - original futures price.17. To hedge a long position in Treasury bonds, an investor most likely wouldA) buy interest rate futures.B) sell S&P futures.C) sell interest rate futures.D) buy Treasury bonds in the spot market.E) none of the above.Answer: C Difficulty: DifficultRationale: By taking the short position, the hedger is obligated to deliver T-bonds at the contract maturity date for the current futures price, which locks in the sales price for the bonds and guarantees that the total value of the bond-plus-futures position at thematurity date is the futures price.18. A long hedge isA) a long position in the spot market and a simultaneous short position in the futuresmarket.B) a long position in the spot market and a simultaneous long position in the futuresmarket.C) a short position in the spot market and a simultaneous short position in the futuresmarket.D) a short position in the spot market with a simultaneous long position in the futuresmarket.E) none of the above.Answer: D Difficulty: DifficultRationale: By entering into the long side of a futures contract, the investor is committed to purchasing at the current futures price, which offsets the risk of the short position in the spot market.19. A short hedge isA) a short position in the spot market and a simultaneous short position in the futuresmarket.B) a long position in the spot market and a simultaneous short position in the futuresmarket.C) a long position in the futures market and a simultaneous long position in the spotmarket.D) a short position in the spot market and a simultaneous long position in the futuresmarket.E) none of the above.Answer: B Difficulty: DifficultRationale: A short hedge is a situation where the investor owns an interest payingfinancial asset and a short position in comparable futures contracts.20. An increase in the basis will __________ a long hedger and __________ a short hedger.A) hurt; benefitB) hurt; hurtC) benefit; hurtD) benefit; benefitE) benefit; have no effect uponAnswer: C Difficulty: DifficultRationale: If a contract and an asset are to be liquidated early, basis risk exists andfutures price and spot price need not move in lockstep before delivery date. An increase in the basis will hurt the short hedger and benefit the long hedger.21. Which one of the following statements regarding "basis" is not true?A) the basis is the difference between the futures price and the spot price.B) the basis risk is borne by the hedger.C) a short hedger suffers losses when the basis decreases.D) the basis increases when the futures price increases by more than the spot price.E) none of the above.Answer: C Difficulty: DifficultRationale: See explanation for test bank question 22.20.22. If you determine that the S&P 500 Index futures is overpriced relative to the spot S&P500 Index you could make an arbitrage profit byA) buying all the stocks in the S&P 500 and selling put options on the S&P 500 index.B) selling short all the stocks in the S&P 500 and buying S&P Index futures.C) selling all the stocks in the S&P 500 and buying call options on the S&P 500 index.D) selling S&P 500 Index futures and buying all the stocks in the S&P 500.E) none of the above.Answer: D Difficulty: ModerateRationale: If you think one asset is overpriced relative to another, you sell theoverpriced asset and buy the other one.23. You purchased a Treasury bond futures contract on the Chicago Board of Trade (CBOT)at a futures price of 96.10. What would your profit (loss) be at maturity if the futures price increased by 2 points?A) $2,000 lossB) $20 lossC) $20 profitD) $2,000 profitE) None of the above.Answer: D Difficulty: ModerateRationale: Each T-bond contract calls for delivery of $100,000 par value bonds;$96,312.50 - $96,312.50 = $2,000.24. On January 1, the listed spot and futures prices of a Treasury bond were 93.8 and 93.13.You purchased $100,000 par value Treasury bonds and sold one Treasury bond futures contract. One month later, the listed spot price and futures prices were 94 and 94.09, respectively. If you were to liquidate your position, your profits would beA) $125 loss.B) $125 profit.C) $12.50 loss.D) $1,250 loss.E) none of the above.Answer: A Difficulty: DifficultRationale: On bonds: $94,000 - $93,250 = $750; On futures: $93,406.25 - $94,281.25 = -$875; Net profits: $750 - $875 = -$125.25. You purchased one silver future contract at $3 per ounce. What would be your profit(loss) at maturity if the silver spot price at that time is $4.10 per ounce? Assume the contract size is 5,000 ounces and there are no transactions costs.A) $5.50 profitB) $5,500 profitC) $5.50 lossD) $5,500 lossE) none of the above.Answer: B Difficulty: ModerateRationale: $4.10 - $3.00 = $1.10 X 5,000 = $5,500.26. You sold one silver future contract at $3 per ounce. What would be your profit (loss) atmaturity if the silver spot price at that time is $4.10 per ounce? Assume the contract size is 5,000 ounces and there are no transactions costs.A) $5.50 profitB) $5,500 profitC) $5.50 lossD) $5,500 lossE) none of the above.Answer: D Difficulty: ModerateRationale: $3.00 - $4.10 = -$1.10 X 5,000 = -$5,500.27. You purchased one corn future contract at $2.29 per bushel. What would be your profit(loss) at maturity if the corn spot price at that time were $2.10 per bushel? Assume the contract size is 5,000 ounces and there are no transactions costs.A) $950 profitB) $95 profitC) $950 lossD) $95 lossE) none of the above.Answer: C Difficulty: ModerateRationale: $2.10 - $2.29 = -$0.19 X 5,000 = -$950.28. You sold one corn future contract at $2.29 per bushel. What would be your profit (loss)at maturity if the corn spot price at that time were $2.10 per bushel? Assume thecontract size is 5,000 ounces and there are no transactions costs.A) $950 profitB) $95 profitC) $950 lossD) $95 lossE) none of the above.Answer: A Difficulty: ModerateRationale: $2.29 - $2.10 = $0.19 X 5,000 = $950.29. You sold one wheat future contract at $3.04 per bushel. What would be your profit (loss)at maturity if the wheat spot price at that time were $2.98 per bushel? Assume thecontract size is 5,000 ounces and there are no transactions costs.A) $30 profitB) $300 profitC) $300 lossD) $30 lossE) none of the above.Answer: B Difficulty: ModerateRationale: $3.04 - $2.98 = $0.06 X 5,000 = $300.30. You purchased one wheat future contract at $3.04 per bushel. What would be yourprofit (loss) at maturity if the wheat spot price at that time were $2.98 per bushel?Assume the contract size is 5,000 ounces and there are no transactions costs.A) $30 profitB) $300 profitC) $300 lossD) $30 lossE) none of the above.Answer: C Difficulty: ModerateRationale: $2.98 - $3.04 = -$0.06 X 5,000 = -$300.31. On January 1, you sold one April S&P 500 index futures contract at a futures price of420. If on February 1 the April futures price were 430, what would be your profit (loss) if you closed your position (without considering transactions costs)?A) $2,500 lossB) $10 lossC) $2,500 profitD) $10 profitE) none of the aboveAnswer: A Difficulty: DifficultRationale: $420 - $430 = -$10 X 250 = -$2,50032. On January 1, you bought one April S&P 500 index futures contract at a futures price of420. If on February 1 the April futures price were 430, what would be your profit (loss) if you closed your position (without considering transactions costs)?A) $2,500 lossB) $10 lossC) $2,500 profitD) $10 profitE) none of the aboveAnswer: C Difficulty: DifficultRationale: $430 - $420 = $10 X 250 = $2,50033. You sold one soybean future contract at $5.13 per bushel. What would be your profit(loss) at maturity if the wheat spot price at that time were $5.26 per bushel? Assume the contract size is 5,000 ounces and there are no transactions costs.A) $65 profitB) $650 profitC) $650 lossD) $65 lossE) none of the above.Answer: C Difficulty: ModerateRationale: $5.13 - $5.26 = -$0.13 X 5,000 = -$650.34. You bought one soybean future contract at $5.13 per bushel. What would be your profit(loss) at maturity if the wheat spot price at that time were $5.26 per bushel? Assume the contract size is 5,000 ounces and there are no transactions costs.A) $65 profitB) $650 profitC) $650 lossD) $65 lossE) none of the above.Answer: B Difficulty: ModerateRationale: $5.26 - $5.13 = $0.13 X 5,000 = $650.35. On April 1, you bought one S&P 500 index futures contract at a futures price of 950. Ifon June 15th the futures price were 1012, what would be your profit (loss) if you closed your position (without considering transactions costs)?A) $1,550 lossB) $15,550 lossC) $15,550 profitD) $1,550 profitE) none of the aboveAnswer: C Difficulty: DifficultRationale: $1,012 - $950 = $62 X 250 = $15,50036. On April 1, you sold one S&P 500 index futures contract at a futures price of 950. If onJune 15th the futures price were 1012, what would be your profit (loss) if you closed your position (without considering transactions costs)?A) $1,550 lossB) $15,550 lossC) $15,550 profitD) $1,550 profitE) none of the aboveAnswer: B Difficulty: DifficultRationale: $950 - $1,012 = -$62 X 250 = -$15,50037. The expectations hypothesis of futures pricingA) is the simplest theory of futures pricing.B) states that the futures price equals the expected value of the future spot price of theasset.C) is not a zero sum game.D) A and B.E) A and C.Answer: D Difficulty: EasyRationale: The expectations hypothesis relies on the concept of risk neutrality; i.e., if all market participants are risk neutral, they should agree on a futures price that provides an expected profit of zero to all parties.38. Normal backwardationA) maintains that for most commodities, there are natural hedgers who desire to shedrisk.B) maintains that speculators will enter the long side of the contract only if the futuresprice is below the expected spot price.C) assumes that risk premiums in the futures markets are based on systematic risk.D) A and B.E) B and C.Answer: D Difficulty: EasyRationale: Risk premiums in this theory are based on total variability.39. ContangoA) holds that the natural hedgers are the purchasers of a commodity, not the suppliers.B) is a hypothesis polar to backwardation.C) holds that F O must be less than (P T).D) A and C.E) A and B.Answer: E Difficulty: Easy40. Delivery of stock index futuresA) is never made.B) is made by a cash settlement based on the index value.C) requires delivery of 1 share of each stock in the index.D) is made by delivering 100 shares of each stock in the index.E) is made by delivering a value-weighted basket of stocks.Answer: B Difficulty: ModerateRationale: Stock index futures are cash-settled, similar to the procedure used for index options.41. The establishment of a futures market in a commodity should not have a major impacton spot prices becauseA) the futures market is small relative to the spot market.B) the futures market is illiquid.C) futures are a zero-sum gameD) the futures market is large relative to the spot market.E) most futures contracts do not take delivery.Answer: C Difficulty: ModerateRationale: Losses and gains to futures contracts net to zero, and thus should not impact spot prices.42. The most recently established category of futures contracts isA) agricultural commodities.B) metals and minerals.C) foreign currencies.D) financial futures.E) both B and C.Answer: D Difficulty: ModerateRationale: Financial futures were first introduced in 1975, and this segment of themarket has seen rapid innovation.43. If a trader holding a long position in corn futures fails to meet the obligations of afutures contract, the party that is hurt by the failure isA) the offsetting short trader.B) the corn farmer.C) the clearinghouse.D) the broker.E) the commodities dealer.Answer: C Difficulty: ModerateRationale: The clearinghouse acts as a middle party to every transaction, and bears any losses arising from failure to meet contractual obligations.44. Open interest includesA) only contracts with a specified delivery date.B) the sum of short and long positions.C) the sum of short, long and clearinghouse positions.D) the sum of long or short positions and clearinghouse positions.E) only long or short positions but not both.Answer: E Difficulty: ModerateRationale: Open interest is the number of contracts outstanding across all delivery dates for a given contract. Long and short positions are not counted separately, and theclearinghouse position is not counted because it nets to zero.45. The process of marking-to-marketA) posts gains or losses to each account daily.B) may result in margin calls.C) impacts only long positions.D) all of the above are true.E) both A and B are true.Answer: E Difficulty: EasyRationale: Marking-to-market effectively puts futures contracts on a "pay as you go"basis.46. Futures contracts are regulated byA) the Commodity Futures Trading Corporation.B) the Chicago Board of Trade.C) the Chicago Mercantile Exchange.D) the Federal Reserve.E) the Securities and Exchange Commission.Answer: A Difficulty: EasyRationale: The CFTC, a federal agency, sets rules and requirements for futures trading.47. Taxation of futures trading gains and lossesA) is based on cumulative year-end profits or losses.B) occurs based on the date contracts are sold or closed.C) can be timed to offset stock portfolio gains and losses.D) is based on the contract holding period.E) none of the above.Answer: A Difficulty: ModerateRationale: Futures profits and losses are taxed based on cumulative year-end value due to marking-to-market procedures.48. Speculators may use futures markets rather than spot markets becauseA) transactions costs are lower in futures markets.B) futures markets provide leverage.C) spot markets are less efficient.D) futures markets are less efficient.E) both A and B are true.Answer: E Difficulty: ModerateRationale: Futures markets allow speculators to benefit from leverage and minimize transactions costs. Both markets should be equally price-efficient.49. Given a stock index with a value of $1,000, an anticipated dividend of $30 and arisk-free rate of 6%, what should be the value of one futures contract on the index?A) $943.40B) $970.00C) $913.40D) $915.09E) $1000.00Answer: C Difficulty: DifficultRationale: F = 1,000/(1.06) - 30; F = 913.40.50. Given a stock index with a value of $1,125, an anticipated dividend of $33 and arisk-free rate of 4%, what should be the value of one futures contract on the index?A) $1048.73B) $1070.00C) $993.40D) $995.09E) $1000.00Answer: A Difficulty: DifficultRationale: F = 1,125/(1.04) - 33; F = 1048.73.51. Given a stock index with a value of $1100, an anticipated dividend of $27 and arisk-free rate of 3%, what should be the value of one futures contract on the index?A) $943.40B) $970.00C) $913.40D) $1040.96E) $1000.00Answer: D Difficulty: DifficultRationale: F = 1,100/(1.03) - 27; F = 1,040.96.52. Given a stock index with a value of $1,200, an anticipated dividend of $45 and arisk-free rate of 6%, what should be the value of one futures contract on the index?A) $1087.08B) $1070.00C) $993.40D) $995.09E) $1000.00Answer: A Difficulty: DifficultRationale: F = 1,200/(1.06) - 45; F = 1,087.08.53. Which of the following items is specified in a futures contract?I)the contract sizeII)the maximum acceptable price range during the life of the contractIII)the acceptable grade of the commodity on which the contract is heldIV)the market price at expirationV)the settlement priceA) I, II, and IVB) I, III, and VC) I and VD) I, IV, and VE) I, II, III, IV, and VAnswer: B Difficulty: ModerateRationale: The maximum price range and the market price at expiration will bedetermined by the market rather than specified in the contract.54. With regard to futures contracts, what does the word “margin” mean?A) It is the amount of the money borrowed from the broker when you buy the contract.B) It is the maximum percentage that the price of the contract can change before it ismarked to market.C) It is the maximum percentage that the price of the underlying asset can changebefore it is marked to market.D) It is a good-faith deposit made at the time of the contract's purchase or sale.E) It is the amount by which the contract is marked to market.Answer: D Difficulty: EasyRationale: The exchange guarantees the performance of each party, so it requires agood-faith deposit. This helps avoid the cost of credit checks.55. Which of the following is true about profits from futures contracts?A) The person with the long position gets to decide whether to exercise the futurescontract and will only do so if there is a profit to be made.B) It is possible for both the holder of the long position and the holder of the shortposition to earn a profit.C) The clearinghouse makes most of the profit.D) The amount that the holder of the long position gains must equal the amount that theholder of the short position loses.E) Holders of short positions can recognize profits by making delivery early.Answer: D Difficulty: ModerateRationale: The net profit on the contract is zero -- it is a zero-sum game.56. Some of the newer futures contracts includeI)fashion futures.II)weather futures.III)electricity futures.IV)entertainment futures.A) I and IIB) II and IIIC) III and IVD) I, II, and IIIE) I, III, and IVAnswer: B Difficulty: EasyRationale: Weather and electricity futures are mentioned in the textbook as recentinnovations.57. According to the Chicago Board of Trade's 2002 Annual Report, the trading volume infutures contracts was highest in _______.A) 1994B) 1996C) 1998D) 2000E) 2002Answer: E Difficulty: EasyRationale: See Figure 22.3 on page 797.58. Who guarantees that a futures contract will be fulfilled?A) the buyerB) the sellerC) the brokerD) the clearinghouseE) nobodyAnswer: D Difficulty: EasyRationale: Once two parties have agreed to enter the transaction, the clearinghouse becomes the buyer and seller of the contract and guarantees its completion.59. If you took a long position in a pork bellies futures contract and then forgot about it,what would happen at the expiration of the contract?A) Nothing -- the seller understands that these things happen.B) You would wake up to find the pork bellies on your front lawn.C) Your broker would send you a nasty letter.D) You would be notified that you owe the holder of the short position a certain amountof cash.E) You would be notified that you have to pay a penalty in addition to the regular costof the pork bellies.Answer: D Difficulty: EasyRationale: The item is usually not delivered, but cash settlement can be made through the use of warehouse receipts. You are still obligated to fulfill the contract and give the holder of the short position the value of the pork bellies.60. Hedging a position using futures on another commodity is calledA) surrogate hedging.B) cross hedging.C) alternative hedging.D) correlative hedging.E) proxy hedging.Answer: B Difficulty: EasyRationale: Cross-hedging is used in some cases because no futures contract exists for the item you want to hedge. The two commodities should be highly correlated.。

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