Homework06-Solution
第6周homework 答案
第6周homework 1答案Have you ever felt lumps under the skin on the sides of your neck when you were sick? Those might be lymph nodes. 1.They can get swollen and painful but their job is to fight infection. Lymph nodes are part of the body's defenses known as the lymphatic system.2.This complex system throughout the body makes and transports a protective fluid called lymph.3.Lymph is made of white blood cells, proteins and fats.In a patient with breast cancer, the cancer can spread to the large number of lymph nodes under the arm. 4. Doctors have traditionally removed many of these lymph nodes in the hope of removing all the cancer.But the latest research finds nothing to gain by removing so many lymph nodes. Doctors have two choices when breast cancer starts to spread. They can do what is called a sentinel node biopsy. They remove the main growth and one or 2 lymph nodes nearest to it.5.Or they can take more aggressive action and remove a lot of lymph notes.6. But that can lead to shoulder pain and permanent swelling o f the arm.第6周homework 2答案Now the Earth Policy Institute in Washington has issued a bleak warning of the risk of environmental and economic 1. chaos. Its founder Lester Brown says a push towards sustainability could help. In fact, he says, it's essential. In this week's Global Business, Peter Day hears why.Lester Brown started life as a farmer in New Jersey, the Garden State in the USA. He got some hefty degrees, worked at home and abroad for the US Department of Agriculture, and then in 1974, he founded the World Watch Institute. It became well-known for its 2. annual state of the world reports on the global environment. Years ago when I had one of our 3. periodic chats at the World Watch Institute in Washington D.C., I remember a room decked with satellite maps of the world's watershed areas. Water is still an 4.abiding theme for Lester Brown in his newer role as founder and head of the Earth Policy Institute. It's another Washington D.C. think tank designed to provide a road map for building a 5.sustainable economy.But even after so many years on the environmental beach, there's a new urgency in what Lester Brown is saying in the book World on the Edge. As an agriculturist by training, he 6.focuses on food and the new threat of food scarcity caused by natural disasters,such as the Russian drought last summer, and 7.consequential flooding elsewhere, and increasing demand for many developing countries as well as the rich world.Lester Brown thinks 8.the world has to mobilize to embrace sustainability in the waythat much of the western world mobilized to fight the Second World War.第6周homework 3答案National standards for US schools gain supportAmericans have never had national education standards. Goals for what public schools should teach are set by state and local school boards. Their members are often elected. But some Americans say the lack of national standards is wrong in a competitive global economy. Former president Bill Clinton said it was as if somehow school boards "could legislate differences in algebra or math or reading."President George W. Bush and Congress expanded federal intervention. His education law, still in effect, required states to show yearly progress in student learning as measured by the states' own tests.1.Now, the Obama administration supports what are known as the Common Core State Standards. These were developed in a year-long process led by state governors and chief state school officers. Texas and Alaska were the only states not to take part.2.The standards are in two subject areas, English-language arts and mathematics. They establish goals for each year from kindergarten through grade twelve. The aim is for students to finish high school fully prepared for college and careers.The developers considered standards in other countries, along with almost one hundred thousand public comments.3. One way the Education Department is trying to persuade states is with money. States are competing to share in almost three and a half billion dollars as part of a school reform competition. They will earn extra points in the race to the top if they approve the standards by August second.States are trying to recover from the recession. There are concerns that some could accept the standards and then lack the money to follow them.The final standards were released June second. A new report say about half the states have approved them already.4. The Thomas B. Fordham Institute is an education group in Washington. It says the standards are clearer and stronger than those used in three-fourths of the states.But the comparison also found that existing English standards are "clearly stronger" in California, Indiana and the District of Columbia.States that approve the new standards have a right to add up to fifteen percent of their own. In California, the State Board of Education plans to vote on August second to accept or reject a new set of standards. These are based largely on the common core, but also existing California standards.第3, 4周homework 1译文你生病时有没有感觉到脖子两侧的肿块？那或许就是淋巴结。
昆明2024年小学三年级下册第11次英语第6单元暑期作业
56、What do you call a house for birds? A. Nest B. Cage C. Coop D. Aviary 答案:A
57、What do we call the process of making food from sunlight, carbon dioxide, and water? A. Photosynthesis B. Respiration C. Fermentation D. Digestion 答案: A. Photosynthesis
昆明2024年小学三年级下册英语第6单元暑期作 业
考试时间：80分钟（总分:140）B卷
考试人：_________ 题号 一 二 三 四 五 总分 得分
一、综合题(共计100题)
1、听力题： Chemical reactions can change the physical and ______ properties of substances.
17、听力填空题： I think staying organized helps me manage my __________.
18、听力题： The _____ (博物馆) has interesting exhibits.
19、听力题： The main component of air is _______.
20、Which gas do we breathe in? A. Carbon dioxide B. Oxygen C. Nitrogen D. Helium 答案:B
21、填空题： Penguins live in ______ (寒冷) places and waddle when they walk.
小学下册Y卷英语第6单元期中试卷
小学下册英语第6单元期中试卷英语试题一、综合题(本题有100小题，每小题1分，共100分.每小题不选、错误，均不给分)1.What is 10 3?A. 6B. 7C. 8D. 9B 72.I look forward to the future with excitement. There are so many possibilities ahead. I hope to __________ and make a meaningful contribution to society.3.I make _____ (晚餐) for my family.4.What do we call a large-scale destruction caused by natural forces?A. DisasterB. CatastropheC. CrisisD. EmergencyB5.The flowers are ________ (盛开的).6. A puppy loves to ______ (跳跃) around.7.The parakeet has a playful _______ (个性).8.He is a _____ (博士) who teaches at a university.9.I like to ________ with my friends.10.What is the capital city of Nigeria?A. AbujaB. LagosC. KanoD. Port HarcourtA11.The frog jumps into the ______ (lake).12.How many legs does a spider have?A. SixB. EightC. FourD. TenB13.The first person to reach the North Pole was ______ (皮尔·阿蒙森).14.The bird is building a ______ (nest) in the tree.15.What is the name of the famous ancient monument in England?A. StonehengeB. Hadrian's WallC. AveburyD. SilburyHillA Stonehenge16.The invention of the printing press changed the way information was ________.17.What do we call a baby seal?A. PupB. CalfC. KidD. ChickA Pup18. A saturated solution contains the maximum amount of ______ dissolved.19.What do we call the place where books are kept?A. LibraryB. StoreC. SchoolD. Office20.The Earth's crust is essential for providing ______ resources.21.We have _____ (to/must) finish our work.22.What is the freezing point of water?A. 0 degrees CelsiusB. 100 degrees CelsiusC. 50 degrees CelsiusD. 25 degrees Celsius23.The _____ (花朵) attracts bees and butterflies.24.The signing of the Magna Carta took place in ________ (英格兰).25.The _______ (Space Race) was a competition between the US and USSR for space exploration.26.The __________ helps to regulate the earth's temperature.27.The element with the atomic number is ______.28.The bird has bright _______ (鸟有鲜艳的_______).29.The teacher is ___ the students. (helping)30. A _____ is an area characterized by specific vegetation.31.I have a _____ (毛绒玩具) that is soft.32. A __________ is a geological feature that can impact human settlements.33. A ____ is a tiny, buzzing creature that helps pollinate flowers.34.My __________ (玩具名) is my best __________ (名词).35. A ________ (植物景观设计师) creates stunning environments.36. A rabbit can hop very ______ (快).37.Trees are important for ______ (空气) quality.38.Covalent bonds are formed by the sharing of ______.39.My favorite sport is ________.40.The ______ (生命周期) of a plant is fascinating to study.41.An exothermic reaction releases _____ into the surroundings.42.What is the opposite of hot?A. WarmB. CoolC. ColdD. MildC43.The garden is alive with _______ and buzzing bees.44.The country known for its vibrant culture is ________ (巴西).45.The ________ (event) inspires change.46.The _____ (小猫) is chasing a butterfly in the garden.47.What do you call the round fruit that is red or green?A. OrangeB. AppleC. BananaD. GrapeB48. A _____ (鳄鱼) waits patiently for its meal.49.Which ocean is the largest?A. AtlanticB. IndianC. ArcticD. PacificD Pacific50.My friend enjoys ____ (playing) video games with me.51.The ancient Romans believed in many _______. (神灵)52.What is the term for the time between sunset and night?A. DawnB. DuskC. NoonD. Midnight答案:B53.The ________ grows in clusters.54.The _____ (pollen) is carried by the wind.55.What is the capital of Indonesia?A. ManilaB. JakartaC. HanoiD. Bangkok56.I like to ______ (参与) in cooking competitions.57.What is the main ingredient in chocolate?A. CocoaB. SugarC. MilkD. VanillaA58.Which part of the plant absorbs water and nutrients from the soil?A. LeafB. StemC. RootD. FlowerC59.My mom loves to garden and grow ____ (flowers).60.The teacher gives us _____ for homework. (assignments)61.The __________ (人类需求) must be met responsibly.62.What is the name of the famous author of "Harry Potter"?A. J.R.R. TolkienB. J.K. RowlingC. C.S. LewisD. Suzanne CollinsB63.I enjoy ________ (园艺) in my free time.64.The dog is _______ (running) after the ball.65.Goldfish swim in ______ water.66.The capital of Papua New Guinea is ________ (莫尔兹比港).67.My ________ (玩具名称) is colorful and bright.68.The continent where kangaroos live is ________ (澳大利亚).69.My friend loves __________ (参与社区服务).70. A hamster's cheek pouches allow it to store ________________ (食物).71.The ______ helps us understand mathematics.72.What is the longest river in the world?A. AmazonB. NileC. MississippiD. Yangtze73.The process of filtering is used to separate solids from _______.74.Which season comes after winter?A. SpringB. SummerC. AutumnD. Fall75.What is the main ingredient in lasagna?A. RiceB. PastaC. BreadD. PotatoesB76.Octopuses have _________ (触手).77.What is the main ingredient in potato chips?A. CornB. WheatC. PotatoesD. RiceC78.My brother likes to play ____ (basketball) with his friends.79.What do we call the process of changing from a caterpillar to a butterfly?A. TransformationB. EvolutionC. GrowthD. MetamorphosisD80.My friend is a ______. He loves to travel.81.The garden has many ______ (plants).82.What do you call the person who teaches in a school?A. PrincipalB. TeacherC. StudentD. ParentB83.The ________ (天气) can change quickly in the mountains.84.What do we call the process of a caterpillar turning into a butterfly?A. MetamorphosisB. EvolutionC. TransformationD. DevelopmentA85.I see a __ in the park. (dog)86.The dog is _____ with its toy. (playing)87.The __________ (潮汐) affects the ocean's levels.88.The ______ teaches us about literature.89.My mom loves to cook healthy ____.90.What do we call the study of plants?A. BotanyB. ZoologyC. EcologyD. AnthropologyA91.The ________ (house) is very big.92.The __________ (历史的文化表现) impact societal norms.93.The flowers smell ________.94.The ancient Egyptians preserved ________ to pass down history.95.I want to _____ (research) plants for my project.96.What do we call a person who studies the weather?A. ClimatologistB. MeteorologistC. EnvironmentalistD. Geologist97.How many sides does a pentagon have?A. 4B. 5C. 6D. 7B98.What do you call the leader of a country?A. PresidentB. TeacherC. DoctorD. Mayor99.We should _______ (保持)我们的城市干净.100.What do you call the light produced by the sun?A. Natural lightB. Artificial lightC. Reflective lightD. Incandescent lightA Natural light。
小学下册O卷英语第6单元暑期作业(含答案)
小学下册英语第6单元暑期作业(含答案)考试时间：80分钟（总分:120）A卷一、综合题(共计100题共100分)1. 听力题：The ______ is known for its speed.2. 填空题：The _____ (violet) grows low to the ground.3. 填空题：A turtle retreats into its _______ when it feels scared.4. 填空题：I enjoy watching birds build their ______ (巢) in the spring.5. 填空题：My favorite dish is ______ (意大利菜).6. 选择题：What is the primary color of a strawberry?A. BlueB. RedC. YellowD. Green答案: B7. 选择题：What do we call a story that is not true?A. Non-fictionB. FantasyC. FictionD. Biography8. 选择题：Where do fish live?A. TreesB. WaterC. LandD. Sky9. 听力题：The Mediterranean Sea is located between Europe and _______.10. Listen and number.听录音，标号。
11. 填空题：The ______ (水文条件) affect plant distribution.12. 填空题：A ________ (野花) can be found in nature.13. 选择题：What do we call the place where we go to buy groceries?A. MallB. Grocery storeC. ParkD. Library14. 选择题：What do you call the clothes you wear on your feet?A. SocksB. ShoesC. BootsD. All of the above15. 听力题：Acids release hydrogen ions (H⁺) in a _____ (solution).16. 填空题：Horses are often used for _________ (骑).17. 选择题：Where do fish live?A. TreesB. MountainsC. WaterD. Deserts答案:C18. 填空题：The ancient Egyptians developed intricate ________ (艺术作品).19. 选择题：What do you call a story told by a narrator?A. PlayB. DramaC. NarrativeD. Poem20. 填空题：I have a toy _____ that can transform.21. 填空题：The __________ (大航海时代) changed global trade routes.22. 听力题：A _______ is a type of reaction that occurs spontaneously.23. 填空题：My uncle works as a __________. (工程师)24. 选择题：What is the freezing point of water?A. 0°CB. 32°CC. 100°CD. -32°C25. 选择题：Which animal is known for its ability to swim?A. OstrichB. LionC. FishD. Elephant26. 听力题：The chemical symbol for yttrium is ______.27. 填空题：古代的________ (rituals) 在宗教活动中非常重要。
Homework1_solution
Homework1：（(Important deadline: submit your homework on next Saturday, Oct. 17, 2009）Questions ( from Data Networks) list:3.6 A person enters a bank and finds all of the four clerks busy serving customers. There are no other customers in the bank, so the person will start service as soon as one of the customers in service leaves. Customers have independent, identical, exponential distribution of service time. (a) What is the probability that the person will be the last to leave the bank assuming that no other customers arrive?(b) If the average service time is 1 minute, what is the average time the person will spend in the bank?(c) Will the answer in part (a) change if there are some additional customers waiting in a common queue and customers begin service in the order of their arrival?Solution：(a) 当该人开始接受服务时，其他3人的服务尚未结束，所有人剩下的服务时间仍为相同的指数分布。
2024年10版小学4年级下册K卷英语第6单元暑期作业(含答案)
2024年10版小学4年级下册英语第6单元暑期作业(含答案)考试时间：100分钟（总分:110）A卷考试人：_________题号一二三四五总分得分一、综合题(共计100题共100分)1. 填空题：The _____ (猫) is a curious and independent animal.2. 填空题：I have a best friend named ________ (小明). We like to play video games and go to the ________ (图书馆) together.3. 选择题：What is the opposite of 'happy'?A. SadB. JoyfulC. ExcitedD. Angry4. 听力题：There are five ___ in the basket. (apples, cars, chairs)5. 填空题：The _____ (小道) in the garden is lined with flowers.6. 选择题：What do we call a sweet food made from cream and sugar?A. Whipped CreamB. MousseC. Chantilly CreamD. All of the above7. 填空题：My ___ (乌龟) takes a long time to walk.8. 听力题：The ______ is the main organ for breathing.9. 听力题：We are going to the ___. (fair)10. 听力题：Astronomers can determine a star's temperature by studying its _______.11. 选择题：What do we call a place where birds are kept?A. AviaryB. AquariumC. ZooD. Sanctuary答案: A12. 填空题：My sister has a pet ______ (鹦鹉) that says "hello."13. 听力题：A _____ is a celestial body that orbits the sun.14. 填空题：I love the sound of ______ (水滴) on the roof.15. 选择题：What is the smallest continent?A. AfricaB. EuropeC. AustraliaD. Asia16. 填空题：My cousin is my best _______ because we have fun.17. 听力题：The ________ (exhibit) shows historical artifacts.18. 填空题：My friend has a pet _____ (鹌鹑).19. 选择题：What is the capital city of Sudan?A. KhartoumB. JubaC. Port SudanD. Omdurman20. 填空题：In _____ (菲律宾), there are many beautiful beaches.21. 听力题：Heliocentrism is the model that places the sun at the ______ of the solar system.22. 听力题：An indicator changes color depending on the ______ of a solution.23. 选择题：What do we call the place where we watch movies?A. TheaterB. StoreC. RestaurantD. School答案:A24. 选择题：What is the chemical symbol for gold?A. AuB. AgC. FeD. Pb答案: A25. 听力题：A _______ can be a fun craft activity for kids.26. 听力题：The ______ is a large mammal that lives in the ocean.27. 听力题：A _______ can be a climbing plant.28. 选择题：What do you call a sweet, baked good made with flour?A. CookieB. BrownieC. CakeD. All of the above答案:D29. 听力填空题：My favorite school subject is __________ because I love __________.30. 听力题：Metalloids have properties of both metals and ______.31. 填空题：The raccoon is often seen at _________. (夜晚)32. 选择题：How many zeros are in one thousand?a. Oneb. Twoc. Threed. Four答案:C33. 填空题：The capital of the Marshall Islands is ________ (马朱罗).34. 填空题：Brazil is famous for its _____ during Carnival.35. 听力题：Chemical reactions can be affected by _____, concentration, and surface area.36. 填空题：A seahorse can change its color to blend in with ______ (环境).37. 听力题：The chemical formula for phosphoric acid is _____.38. 填空题：I enjoy _______ (听音乐) while walking.39. 听力题：The element with the symbol Te is __________.40. 听力题：Noble gases are found in group ______ of the periodic table.41. 选择题：What is the capital of Tanzania?A. DodomaB. Dar es SalaamC. ArushaD. Mwanza答案:A42. 听力题：The chemical symbol for barium is ______.43. 选择题：What is the main ingredient in mayonnaise?A. MustardB. VinegarC. Egg yolkD. Oil答案:C44. 听力题：They are playing ________ (games) in the park.45. 听力题：We have a _____ (照片) on the wall.46. 填空题：I enjoy playing ______ in the backyard.47. 填空题：A ________ (植物采集) can be educational.48. 听力题：A __________ is formed through the movement of tectonic plates.49. 选择题：What is the opposite of hot?A. ColdB. WarmC. CoolD. Spicy答案:A50. 选择题：What is the primary color of a stop sign?a. Blueb. Yellowc. Redd. Green答案:C51. 选择题：What do we call a group of stars?A. GalaxyB. ClusterC. ConstellationD. Nebula答案: C52. 选择题：What is the opposite of up?A. DownB. LeftC. RightD. Forward53. 填空题：The __________ (文艺复兴) brought about changes in art and science.54. 填空题：This student, ______ (这个学生), is preparing for a competition.55. 听力题：Heat makes molecules move ______.56. 填空题：I keep a journal to write about my ________ (梦想) and aspirations for the future.57. 听力题：The chemical reaction that produces heat is called an _______ reaction.58. 选择题：What do we call a sweet dessert made from custard?A. FlanB. Crème BrûléeC. PuddingD. All of the above59. 填空题：The ________ (季节变化) can affect blooming times.60. 听力题：An object at rest tends to stay at ______ (rest) unless acted on by an outside force.61. 选择题：What do we call the process of converting a solid directly into a gas?A. MeltingB. SublimationC. CondensationD. Freezing答案: B62. 听力题：The __________ is a region known for its tea plantations.63. 填空题：我最喜欢的老师是 _______ (名字). 她的教学风格很 _______ (形容词).64. 听力题：The chemical formula for ethanol is _______.65. 选择题：What do we call the process of changing from a liquid to a gas?A. CondensationB. EvaporationC. SublimationD. Freezing答案: B66. 听力题：The chemical symbol for potassium is ______.67. 听力题：A solution is a homogeneous mixture of two or more ______.68. 填空题：The _____ (蜜蜂) helps flowers grow by pollinating them.69. 填空题：I enjoy ______ (与朋友一起玩).70. 填空题：The ______ (小鱼) swims in schools with friends.71. 听力题：His favorite food is ________.72. 选择题：Which season comes after winter?A. FallB. SummerC. SpringD. Autumn73. 听力题：During a chemical reaction, bonds between atoms are _______.74. 选择题：What is the name of the famous artist known for his abstract art?A. PicassoB. Van GoghC. MonetD. Rembrandt75. 填空题：My sister's favorite _____ is a plush unicorn.76. 填空题：The __________ (历史的动机) can be examined critically.77. 填空题：A cockroach can survive without ______ (食物) for weeks.78. 听力题：Friction can slow down a ______.79. 填空题：The __________ (历史的传承) is vital for identity.80. 填空题：A _____ (果树) produces fruit each year.81. 听力题：Constellations change position throughout the _______.82. 听力题：The first human-made object to land on the moon was _______.83. 选择题：Which fruit is known for being very juicy and sweet, and is often eaten in summer?A. AppleB. WatermelonC. BananaD. Orange答案: B84. 填空题：My sister loves to __________ (唱歌) in the shower.85. 选择题：Which animal is known for its memory?A. FishB. ElephantC. DogD. Cat答案：B86. 填空题：The frog croaks by the _________. (水边)87. 填空题：Fossil fuels release _______ when burned. (二氧化碳)88. carbon neutrality) aims for zero net emissions. 填空题：The ____89. 填空题：A snail leaves a ______ (黏糊糊的) trail behind.90. 填空题：The _____ (遥控飞机) flies high in the sky.91. 选择题：What is the term for the study of ancient civilizations?A. ArchaeologyB. AnthropologyC. HistoryD. Sociology答案:A92. 听力题：Some _______ are used for making salads.93. 听力填空题：When it rains, I like to __________. It’s cozy to stay inside and __________ with my family. We sometimes watch movies or play __________ together.94. 填空题：A stork delivers ________________ (婴儿) in stories.95. 选择题：What do we call the person who cuts hair?A. DoctorB. BarberC. ChefD. Teacher答案：B96. 听力题：A satellite orbits around a ______.97. 听力题：The snowflakes are ______ (falling) from the sky.98. 选择题：How many seconds are in a minute?a. 30b. 60c. 90d. 120答案:B99. 听力题：Plants can be _______ or wild.100. 填空题：A lion is a brave _______ that roams the savanna.。
homework-ch6-answers
Attention: The answers of all the problems must be attached with the particular computing process. And the answers must be printed in paper. Each group will handle in one piece. Maybe someone in each group will be asked to show the answers to the class. All answers must be written in English.65 pointsProblem1: Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year.a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? 5 pointsb. Suppose that the portfolio can be purchased for the amount you found in (a). Whatwill be the expected rate of return on the portfolio? 5 pointsanswers:a. The expected cash flow is: (0.5 * $70,000) + (0.5 *200,000) = $135,000With a risk premium of 8% over the risk-free rate of 6%, the required rate of return is14%. Therefore, the present value of the portfolio is:$135,000/1.14 = $118,421b. If the portfolio is purchased for $118,421, and provides an expected cash inflow of$135,000, then the expected rate of return [E(r)] is derived as follows:$118,421*[1 + E(r)] = $135,000Therefore, E(r) =14%. The portfolio price is set to equate the expected rate orreturn with the required rate of return.Problem2: Consider a portfolio that offers an expected rate of return of 12% and a standard deviation of 18%. T-bills offer a risk-free 7% rate of return. What is the maximum level ofrisk aversion for which the risky portfolio is still preferred to bills?（Hint: use this utility function U =E(r) – 0.005Aσ 2）10 pointsanswers:When we specify utility by U =E(r) – 0.005Aσ 2, the utility level for T-bills is 7%. The utility level for the risky portfolio is: U = 12 – 0.005A ⨯ 182 = 12 – 1.62AIn order for the risky portfolio to be preferred to bills, the following inequality must hold:12 – 1.62A > 7 ⇒ A < 5/1.62 = 3.09A must be less than 3.09 for the risky portfolio to be preferred to bills.Problem3: Draw the indifference curve in the expected return–standard deviation plane corresponding to a utility level of 5% for an investor with a risk aversion coefficient of 3. (Hint: Choose several possible standard deviations, ranging from 5% to 25%, and find the expected rates of return providing a utility level of 5%. Then plot the expected return–standard deviation points so derived.15 pointsanswers: Points on the curve are derived by solving for E(r) in the following equation: U = 5 = E(r) – 0.005Aσ 2= E(r) – 0.015σ 2 -----E(r) =U+ 0.015σ 2 The values of E(r), given the values of σ 2, are therefore:σσ 2E(r)0% 0 5.000%5% 25 5.375%10% 100 6.500%15% 225 8.375%20% 400 11.000%25% 625 14.375%The bold line in the following graph (labeled Q3, for Question 3) depicts the indifference curve.Use the following data in answering next 3 questions: 3*3=9 points+1pointProblem4(*):Based on the utility formula above, which investment would you select if you were risk averse with A=4?a. 1.b. 2.c. 3.d. 4.answers: C D [Utility for each portfolio = E(r) – 0.005 ⨯ 4 ⨯σ 2We choose the portfolio with the highest utility value.]Problem5(*):Based on the utility formula above, which investment would you select if you were risk neutral?a. 1.b. 2.c. 3.d. 4.answers: d [When investors are risk neutral, then A = 0; the portfolio with the highest utility is the one with the highest expected return.]Problem6(*): The variable (A) in the utility formula represents the:a. investor’s return requirement.b. investor’s aversion to risk.c. certainty equivalent rate of the portfolio.d. preference for one unit of return per four units of risk.answers: bConsider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 70 years has averaged about 8.5% more than the Treasury bill return and that the S&P 500 standard deviation has been about 20% per year. Assume these values are representative of investors’ expectations for future performance and that the current T-bill rate is 5%. Use these values to solve problems 7 to 8.Problem7: Calculate the expected return and variance of portfolios invested in T-bills and the S&P500 index with weights as follows: 10 pointsanswers:The portfolio expected return and variance are computed as follows:(1) W Bills (2)r Bills(3)W Index(4)r Indexr Portfolio(1)⨯(2)+(3)⨯(4)σPortfolio(3) ⨯ 20%σ 2Portfolio0.0 5% 1.0 13.5% 13.5% 20% 4000.2 5% 0.8 13.5% 11.8% 16% 2560.4 5% 0.6 13.5% 10.1% 12% 1440.6 5% 0.4 13.5% 8.4% 8% 640.8 5% 0.2 13.5% 6.7% 4% 161.0 5% 0.0 13.5% 5.0% 0% 0Problem8: Calculate the utility levels of each portfolio for an investor with A=3 and A=5.What do you conclude? 10 pointsanswers:Computing utility from U = E(r) – 0.005 ⨯ Aσ 2 = E(r) – 0.015σ 2 , we arrive at the values in the column labeled U(A = 3) in the following table:W Bills W Index r PortfolioσPortfolioσ 2Portfolio U(A = 3) U(A = 5)0.0 1.0 13.5% 20% 400 7.50 3.500.2 0.8 11.8% 16% 256 7.96 5.400.4 0.6 10.1% 12% 144 7.94 6.500.6 0.4 8.4% 8% 64 7.44 6.800.8 0.2 6.7% 4% 16 6.46 6.301.0 0.0 5.0% 0% 0 5.00 5.00The column labeled U(A = 3) implies that investors with A = 3 prefer a portfolio that is invested 80% in the market index and 20% in T-bills to any of the other portfolios in the table.The column labeled U(A = 5) in the table above is computed from:U = E(r) – 0.005 Aσ 2 = E(r) – 0.025σ 2The more risk averse investors prefer the portfolio that is invested 40% in the market index, rather than the 80% market weight preferred by investors with A = 3.。
小学上册第4次英语第1单元真题试卷
小学上册英语第1单元真题试卷英语试题一、综合题(本题有100小题，每小题1分，共100分.每小题不选、错误，均不给分)1.The __________ is famous for its geothermal activity.2. A _______ (小蜻蜓) hovers over the water.3.Turtles can live for a ______ (很长的时间).4.I see a rainbow after the ___. (storm)5.My _____ (妈妈) is a great cook.6.What do you call a story that is made up?A. TrueB. FictionC. Non-fictionD. HistoryB7.My cousin is a fabulous ____ (singer).8.My cat will _______ (抓住) a toy mouse.9.World War II ended in ______ (1945年).10.The capital city of Ireland is __________.11.The _____ (beach) is sandy.12.I watch ______ on Saturday nights.13. A ____ is known for its strength and ability to lift heavy objects.14.My brother's favorite animal is a ______ (老虎).15.Planting trees is a great way to combat ______ (全球变暖).16.The flower petals are ______.17.The boy has a cool ________.18.The classroom is very ________.19. A __________ can occur when water mixes with soil and causes it to flow.20.Certain flowers are associated with ______, like roses for love. (某些花与情感相关，如玫瑰象征爱。