Investigation the capital structure in A-REITs

I NVESTIGATING THE C APITAL S TRUCTURE OF

A-REIT S

Bwembya Chikolwa

Texas Comptroller of Public Accounts

Abstract

This paper examines the determinants of capital structure in34Australia real estate investment trusts(A-REITs)for the period2003to2008.The results show that tangibility and size positively in?uence leverage,with risk having a negative impact. No evidence is found to support A-REITs issuance of debt when interest rates are low;however,they are less likely to default on their debt obligations in a strong real estate market.Real estate sector effects are mixed and stapled management structure and international operations have signi?cant negative signs,showing that A-REITs with these features should have lower gearing levels.There is also some evidence that A-REITs follow the market timing theory of capital structure.

One of the research challenges faced by?nancial economists has been the determinants of capital structure following Modigliani and Miller’s(MM)(1958, 1963)proposition that the capital structure is‘‘irrelevant’’to the value of a company. In addition,Myers’(1984)‘‘capital structure puzzle’’has fuelled great debate on which of the two follow-on theories after MM,‘‘trade-off’’and‘‘pecking order,’’is the most relevant in determining capital structure.‘‘Market timing’’theory has also been propagated as relevant to the determination of a?rm’s capital structure(Baker and Wurgler,2002).

Real estate companies,in particular real estate investment trusts(REITs),offer some unique characteristics on which to test the theories of capital structure.REITs have a great deal of collateral that can be used to support high levels of debt and distribute nearly all of their pro?ts as dividends.

Australian REITs(A-REITs)are a major real estate investment and?nancing vehicle in Australia,with an outstanding track record and signi?cant commercial real estate assets,being available to both general and institutional investors.As at December 2008,A-REITs had assets worth AU$201billion,representing about50%of the commercial real estate investment market and55%of the securitized real estate investment market(PIR,2009).Thus,the A-REITs market was the third largest globally after the United States and France as of December2008(Newell and Peng, 2009).

This is the?rst study to examine the capital structure determinants of A-REITs.As such,the purpose of this paper is to analyze the determinants of the capital structure of A-REITs by examining the relationship between leverage and a set of explanatory variables.The study differs from previous studies as it considers capital structure theories in assessing determinants of various leverage positions on a total,long-term,

391

392J OURNAL OF R EAL E STATE L ITERATURE

short-term,and interest coverage basis.The analysis is conducted using an unbalanced panel data pertaining to34A-REITs for the period2003–2008.A total of204 observations are available for analysis.

The paper is structured as follows.The?nancing activities of A-REITs over the study period are discussed.There is then a review of the literature on capital structure, followed by a discussion of the data,methodology,and descriptive statistics.The study results and their analyses are then given.The paper closes with concluding remarks and future research directions.

F INANCIN

G A CTIVITIES OF A-REIT S

Many A-REITs used equity capital to fuel growth and expansion during the mid-1990s,but later switched to debt?nancing in1997when the Reserve Bank of Australia(RBA)cut interest rates in the second half of1996,which made debt ?nancing a cheaper option to equity capital(Kavanagh,1997).PIR(2008)states that a total AU$52billion was raised through equity raisings between1999and2008.Of the funds raised during this period,43%was used to acquire new real estate,24% for dividend re-investment plans,and16%for working capital/debt repayment.The remaining17%was used for employee remuneration,rights issue,and unit purchase price.On average,equity raisings by A-REITs show an upward trend,as shown in Exhibit1.

Debt funding has played a signi?cant role in A-REIT growth,increasing from10% in1995to35%in2007(Newell,2008).As at December2008,the A-REIT sector had total assets worth AU$201billion,comprising more than4,700institutional-grade properties in diversi?ed and sector-speci?c portfolios(PIR,2009).In structuring this debt pro?le,A-REITs have used a range of sophisticated debt products including CMBS,real estate trust bonds,and off-balance sheet?nancing(Chikolwa,2008a). Exhibit2shows details of CMBS and unsecured bond raisings by A-REITs from 2000to2008.

A total of over AU$26billion has been raised by A-REITs using these two debt funding instruments.From2007:Q3,no CMBSs or bonds were issued by A-REITs in Australia as a direct result of the credit squeeze.Chikolwa(2008b)showed that at predicted spreads of150–200bps in2008,issuance of AAA-rated CMBS tranches would have been uneconomical.Furthermore,Property Council of Australia(2008) showed the BBB?-rated bond issue by Dexus of AU$200million in February2007 priced at483bps over the three-month bank bill swap rate(BBSW),signifying a drastic change in market conditions from February2004when similar rated notes were priced at35–40bps.

Private bank debt has also been used to fund A-REIT expansion and operations. However,limited disclosure restricts information in the private debt market.Higgins (2007)estimated the value of outstanding Australian whole commercial real estate mortgages in2007to be AU$71billion.He estimated the Australian real estate investment market at AU$232billion,1of which72%was held by institutional V OLUME19,N UMBER2,2011

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S 393Exhibit 1

A-REIT Equity Capital Raisings:1999–2008

5

10

15

20

25

30

$0

$2,000$4,000$6,000$8,000$10,000$12,000200020012002200320042005200620072008A U $ M i l l i o n A-REIT Equity Raising Ex. IPOs (lhs)

A-REIT Bond Issuance (lhs)

No. of A-REIT Bond Issues (rhs)

Sources:Author’s compilation from PCA (2009)and Connect 4Company Prospectuses database

(1999–2006).

investors.With 55%of institutional owned real estate held by A-REITs,it can be

inferred that a sizeable share of private bank lending goes to A-REITs.

The initial response by A-REITs to the credit squeeze was to cut dividends and to

lower gearing through asset sales.It was estimated that between AU$15–20billion

worth of commercial real estate was for sale as at June 2008(Standard &Poor’s,

2008).With empirical evidence of distress asset sales leading to the depressing of the

share price,most A-REITs resorted to off-market transactions in selling their

properties.The glut of commercial real estate on the market and debt funding

dif?culties resulted in a rise in commercial real estate yields after several years of

contraction.For instance,premium and ‘A’grade of?ce yields increased by

approximately 100bps to December 2008(DTZ Research,2008).According to CB

Richard Ellis,sales of commercial real estate fell 60%to AU$3billion in the ?rst six

months of 2008(Condon,2008).Discount rates (across both core and non-core

sectors)were set to soften over the short-term (next 12–18months)to sit between

8.5%–11.5%,depending on sector and asset quality (De Francesco and Bonello,

2008).

394J OURNAL OF R EAL E STATE L ITERATURE

V OLUME19,N UMBER2,2011Exhibit2

A-REIT Bond Issuance and CMBS Issuance:2000–2008

Australian CMBS Issuance A-REIT Bond Issuance

Year AU$Million No.of Issues AU$Million No.of Issues

2000$3572$1001

2001$1,3205$1,61512

2002$2,84519$1,57012

2003$2,19114$2,79228

2004$1,5137$9059

2005$2,1028$1,32012

2006$4,01311$1,65011

2007$2,5006$4903

2008$00$00

Total$16,84172$10,44288

Note:The sources are CMBS issuance,Chikolwa(2007,2008a),and author’s compilation from PCA (1999–2008).

A recent development in funding strategies by some A-REITs has been to increase equity,either by introducing a dividend reinvestment plan or seeking additional capital.A breakdown of these seasoned equity offerings issued between1999and 2008is shown in Exhibit3.

Exhibit4shows some of the equity raisings by A-REITs in October2008.GPT Group and Goodman Group raised more than AU$2.3billion,with Goodman raising AU$755 million at90cents in a unit.Buyers of these equities included some sovereign wealth funds.For example GIC of Singapore increased its stake in Mirvac and GPT Group to6%and10%,respectively.A negative share price reaction has been noted after seasoned equity issues(Brealey,Myers,and Allen,2008;Brounen and Eichholtz, 2002;Marciukaityte,Higgins,Friday,and Mason,2007).As such,these equity capital raising strategies will lead to a dilution of A-REIT base earnings.

The review of the A-REIT?nancing activity is important in investigating their capital structure,in particular the determinants of debt funding or leverage following similar empirical studies in other parts of the world.

L ITERATURE R EVIEW

Studies on capital structure have evolved from the seminar papers by MM(1958, 1963),who argued that in a world of frictionless capital markets,optimal?nancial structure is irrelevant.Subsequently,with consideration of costs of debt due to information asymmetry,the tax bene?ts of debt?nancing and the con?ict of interest between managers,shareholders,and creditors,two theories of capital structure

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S 395Exhibit 3

A-REIT Seasoned Equity Issues:2000–2008

0%

10%

20%30%

40%

50%

60%70%

80%90%

100%

20002001 20022003

20042005 20062007 2008 E ntitlement P lacement P riority R ights S hare Purchase Plan

Source:Author’s compilation from Connect 4Company Prospectuses database (2000–2008).

Exhibit 4

Major A-REIT Seasoned Equity Issues:October–December 2008

Date

Company Amount of Shares Amount Raised (AU$million)Oct.14

Stockland 56.6million $300.00Oct.15

CFS Retail Property Trust 162million $325.00Oct.23

GPT Group 1per 1entitlement $1,349.80Oct.28

Goodman Group 17per 50entitlement $956.20Dec.3

DEXUS Property Group 391.7million $301.60Dec.8

ING Of?ce Fund 1per 2.9entitlement $415.50Dec.12Macquarie Of?ce Trust 1per 1entitlement $508.40

Note:The sources are EPRA (2008)and Connect 4Company Prospectuses database (2000–2008).

emerged:the ‘‘trade-off theory ’’and the ‘‘pecking order hypothesis.’’A later theory

propagates that ?rms’capital structure depends on ‘‘market timing’’or conditions

(Baker and Wurgler,2002).

The trade-off theory posits that ?rms observe a target debt ratio that is de?ned by a

trade-off between tax deductibility of interest and costs of ?nancial distress.It is

observed that tax deductibility of interest payments induces ?rms to borrow to a point

396J OURNAL OF R EAL E STATE L ITERATURE

where the present value of interest tax shield is just offset by the value of loss due to the possibility of?nancial distress.Since pro?table?rms have a higher income shield,and greater free cash?ow,theory predicts higher leverage for pro?table?rms, and the opposite for?rms with investment opportunities perceived to be risky.Indirect costs substantially in?uence capital?nancing,with Castanias(1983)and Alderson and Betker(1995)?nding a signi?cant negative relationship between bankruptcy costs and leverage.High(low)-growth?rms that are more sensitive to business?uctuations in business outlook and are therefore more vulnerable to?nancial distress,choose a lower(higher)leverage ratio(Barclay,Morellec,and Smith,2006).

The pecking order hypothesis by Myers(1984)and Myers and Majluf(1984)is driven by asymmetric information and signaling problems associated with external?nancing. The hypothesis predicts that?rm’s rank?nancing choices by their sensitivity to asymmetric information,choosing to use internal rather than external?nancing,and preferring debt to equity.This hierarchical behavior is aimed at minimizing the cost of information asymmetry.Literature is contradictory on the correctness of the theory; Shyam-Sunder and Myers(1999)state that?rms facing a?nancial de?cit resort to debt,and then if needs are great enough,to sources of?nancing lower and lower down the pecking order of?nancial choice.Chirinko and Singha(2000)and Frank and Goyal(2003)doubt the correctness of the theory because?rms can never issue equities if they can issue investment-grade debt.However,the pecking order hypothesis explains some of the observations not explained by the static trade-off theory.The strong negative relationship between pro?tability and leverage is explainable(Rajan and Zingales,1995;Ghosh,Nag,and Sirmans,1997;Gaud,Jani, Hoesli,and Bender,2005).

Baker and Wurgler(2002)advocate the market timing theory on the basis that an optimal capital structure does not exist and that a?rm’s observed capital structure is nothing more than a cumulative outcome of its past attempts to time the market. Managers will issue equity when they believe that the market has overvalued their company.Recent REIT studies supporting this theory are Ooi,Ong,and Li(2007, 2010)and Boudry,Kallberg,and Liu(2010).

Real estate companies have special features that make them an interesting case study for capital structure choice.For instance,A-REITs are not required to pay taxes if they distribute100%of taxable income as dividends.As such,the two important bene?ts of debt are nulli?ed,i.e.,tax deductibility of interest is lost and with most income distributed,debt servicing is not critical in mitigating agency cost of free cash ?ow.Debt in REIT?nancing at IPO accounts for more than50%and increases to over65%in10years(Feng,Ghosh,and Sirmans,2007).

Despite several attempts to explain REIT capital structure,no consensus has been reached on the determining theory.For instance,Morri and Beretta(2008)conclude that pecking order theory is behind REIT capital structure.Morri and Cristanziani (2009)settle for the trade-off theory.Boudry,Kallberg and Liu(2010)?nd strong support for the market timing theory and some support for the trade-off theory.Other studies that advocate for the market timing theory are Ooi,Ong,and Li(2007,2010). V OLUME19,N UMBER2,2011

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S397

Exhibit5

Expected Signs of Leverage Determinants

Trade-off Model Pecking Order

Theory

Previous REIT

Research

Pro?tability(?)(?)(?)

Growth(?)(?)(?) Tangibility(?)(?)(?) Operating risk(?)(?)(?)

Size(?)(?)(?)

Real estate sector NA NA NA

Stapled management structure NA NA NA International operations NA NA NA

Note:The material is adapted from Morri and Beretta(2008).

Furthermore,Exhibit5shows revealed signs of the determinants of leverage according to different theories of capital structure by previous REIT research.

D ATA AND M ETHODOLOGY

Data

The?nancial data for A-REITs were collected from the Aspect Fin Analysis database for the period2003to2008.A total of34?rms found in the ASX300Index are included in the dataset,with a total of204?rm-year observations.Some?rms did not have a full six-year set of?nancial records as they had been listed after2003. Their exclusion could have resulted in an incomplete analysis as they are major market players.An unbalanced panel dataset was used in this study.

Measurement and Interpretation of Variables

Following previous studies that have used pro?tability,tangibility,size,growth opportunities,and operating risk as determinants of leverage(Rajan and Zingales, 1995),additional market timing and industry variables of real estate sector,stapled management structure,and international operations are included to fully capture the setting of A-REITs.

Leverage.A variety of ratios are used to measure leverage,with the most popular being total liability to total assets,total debt to equity,total debt to total assets,and total debt to net assets(Rajan and Zingales,1995).In addition,a?ow-like measure interest coverage ratio,i.e.,the ratio of earnings before interest and taxes(EBIT)to interest expense,is more useful when concerns are raised about the probability of a company repaying its debt.Titman and Wessels(1988)show a signi?cant correlation

398J OURNAL OF R EAL E STATE L ITERATURE

V OLUME 19,N UMBER 2,2011

between book and market values and no signi?cant differences in proxies used.In

support of the use of book values,Fama and French (2002)contend that managers

usually decide to issue debt or capital structure choices based on book value data

because market data are subject to high volatility and market values depend on a

number of factors out of the direct control of a ?rm.In this study,total liability to

total assets (TLA ),total long-term debt to total assets (LTD ),total short-term debt to

total assets (STD ),and interest coverage ratio (NIE )are used to measure leverage.

Short-term debt is included because it presents a signi?cant proportion of total debt

by real estate companies;rolling-over short-term debt to achieve longer-term debt is

a common practice in real estate companies (Brett,1990;Ooi,1999).

Pro?tability.A common measure of ?rm pro?tability is return on assets (ROA )

(Brealey,Myers,and Allen,2008).The trade-off and pecking order theories diverge

on the relationship between leverage and pro?tability.According to the trade-off

theory,high pro?tability will increase tax shields and create an incentive for higher

leverage.On the other hand,the pecking order theory posits that companies will use

internal ?nancing before external sources.Following Myers and Majluf (1984),a

negative relationship between pro?tability and leverage postulated.

Tangibility.Tangible assets are likely to have an impact on the borrowing decisions of

a ?rm because they are less subject to information asymmetries and usually have a

greater value in liquidation.Consequently,?rms with tangible assets can take on

higher leverage (Gaud,Jani,Hoesli,and Bender,2005;Morri and Beretta,2008).

From an agent-theory perspective (Jensen and Meckling,1976),lenders demand

collateral of tangible assets to avoid suboptimal investments by shareholders as a result

of the con?ict between lenders and equity owners.The trade-off theory posits that

tangible assets serve as good collateral and reduce costs of ?nancial distress.Harris

and Raviv (1991)expect that information asymmetries will be large for companies

with few tangible assets,in line with the pecking order perspective.Most studies

(Titman and Wessels,1988;Gaud,Jani,Hoesli,and Bender,2005;Morri and Beretta,

2008;Westgaard,Eidet,Frydenberg,and Grosas,2008)?nd a signi?cantly positive

relationship between tangibility and debt,while Grossman and Hart (1982)and Feng,

Ghosh,and Sirmans (2007)?nd a signi?cantly negative relationship.In this study,

the proxy for tangibility is the ratio of the book value of real estate to total assets

(PPT ).

Size.The size of a ?rm is related to the risks and costs of bankruptcy (Ngugi,2008).

Larger ?rms are usually more diversi?ed and therefore bear lower risks of ?nancial

distress (Ang,Chua,and McConnell,1982);or that their size creates less transparency

and greater need for monitoring (Ang,Chua,and McConnell,1982;Myers,1984;

Myers and Majluf,1984).The former argument suggests a positive relationship

between ?rm size and leverage in line with the trade-off theory and the latter suggests

a negative relationship in line with the pecking order theory.Bond (2006),Morri and

Beretta (2008),and Westgaard,Eidet,Frydenberg,and Grosas (2008)?nd a

signi?cantly positive relationship between ?rm size and debt,while Feng,Ghosh,and

Sirmans (2007)?nd ?rm size is non-signi?cant in determining leverage.Ooi (1999)

?nds an inverse relationship between ?rm size and leverage and further concludes

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S399 that smaller real estate companies may not have much choice but to rely on bank loans.Earlier studies have used size to operating revenue,number of employees,or the size of total assets as proxies of size.In this study,the proxy for size is the natural logarithm of total assets(TAA).

Growth Opportunities.Studies have had various?ndings on the in?uence of growth opportunities on leverage.According to the trade-off theory,?rms with a higher proportion of their market value due to growth opportunities will have lower debt capacity because in the case of bankruptcy the value of these opportunities is close to zero(Myers,1977).The pecking order posits that small,high-growth?rms will face large information asymmetries and will seek to issue securities that minimize such asymmetries.Therefore,high-growth?rms will issue debt(in particular short-term debt).The most popular proxy of growth opportunities is market value-to-book ratio.Other measures used are annual growth rate in total assets(Ooi,1999)and changes of operating revenue from year to year(Westgaard,Eidet,Frydenberg,and Grosas,2008).Changes of share price-to-book value of total assets from year to year are used as proxies of growth opportunities in this study(PPR).

Operating Risk.Operating risk or business risk is de?ned as variability of expected earnings.High variation in earnings increases the probability of default.Leverage increases the volatility of net pro?t.Both the pecking order and the trade-off theory predict a negative relationship between operating risk or volatility and the degree of leverage.From a pecking order perspective,?rms with highly volatile results try to accumulate cash during good years,to avoid under investment issues in the future. The trade-off theory,on the other hand,posits that?rms that have high operating risk can lower the volatility of the net pro?t by reducing the level of debt.This results in the reduction of bankruptcy risk and an increase in the probability of fully bene?ting from tax shields.Some of the commonly-used proxies for operating risk are operating income to interest expense,percentage change in EBIT,standard deviation of EBIT scaled by total assets,standard deviation of EBIT to net sales,and systematic risk represented by?rm beta.In this study,standard deviation of EBIT scaled by total assets(SDE)for each?rm over the entire period covered and percentage change in EBIT are used as a proxies for operating risk.

Macroeconomic Factors.Real estate companies are more likely to default in their debt commitments in a weak real estate market,with costly contracting theories positing an inverse relationship between secured debt and market condition(Ooi,1999). Similar to Ooi(2000),the Property Council of Australia(PCA)/Investment Property Databank(IPD)Total Return Index for all real estate types over the preceding year is used as a proxy for real estate market condition(MKT).

Previous real estate research has shown that?rms are more likely to use debt when the cost of borrowing is low and to use equity?nancing when interest rates are high (Ooi,1999;Boudry,Kallberg,and Liu,2010;Ooi,Ong,and Li,2010).Higher interest rates also increase the probability of?nancial distress.Therefore,debt ratio is hypothesized to be inversely related to the prevailing term structure.The term structure of interest rates is measured by the year-end yield difference between three-month bank accepted bills and ten-year federal government bond yield(TRM).

400J OURNAL OF R EAL E STATE L ITERATURE

V OLUME 19,N UMBER 2,2011Other Firm Attributes.The study also includes other ?rm-speci?c attributes such as the

real estate sector the A-REIT operates in,whether a stapled management structure is

adopted,and whether it operates internationally.Ooi (1999)shows that the nature of

activities and the asset structure of real estate companies have a signi?cant impact on

their debt funding activities.Furthermore,Giambona,Harding,and Sirmans (2008)

show that ?rms with less liquid assets will choose to use lower leverage and shorter

maturity.Therefore,it is hypothesized that the underlying real estate base of A-REITs

will in?uence their debt funding activities.In Australia,the stability of cash ?ows

and asset values of the major real estate types,ranked in order from lowest to highest

volatility,is as follows:retail (SER ),industrial (SEI ),of?ce (SOF ),hotel (SEO )

(Moody’s Investor Service,2003).As discussed earlier,this volatility impacts

operating risk.

Adoption of the stapled management structure (SSS )by A-REITs was meant to booster

returns (Newell,2006;Tan,2004a).Real estate development carries higher risk than

passive real estate holdings for investment purposes and uses more short-term debt

(Ooi,1999).

The internationalization of A-REITs was a response to increased geographical

diversi?cation and returns and because of a dearth of quality local commercial real

estate to invest in (Tan,2004b).Debt has played a major role in this international

expansion.Newell (2006)states that debt levels in some A-REITs with 100%

international real estate have debt levels in excess of 50%,compared to the average

debt level of 35%.Despite the ?nding that A-REITs with international properties in

their real estate portfolio have not increased their risk pro?le,market sentiment is that

such A-REITs are risky investments resulting in a fall in their share price.Therefore,

the study investigates the relationship between A-REIT internationalization of

operations (INT )and leverage.

The coef?cient direction for stapled management structure and international operations

is a matter of empirical investigation since in times of prosperity they booster an A-

REIT’s earnings (Tan,2004a,2004b;Newell,2006)and in periods of economic slump

contribute to the underperformance of an A-REIT (Newell and Peng,2009).

These ?rm attributes are presented as dummy variables in the models.For example,

a dummy variable is equal to 1if the A-REIT has international operations,and is

equal to 0otherwise.

D ESCRIPTIV

E S TATISTICS

Descriptive statistics regarding the sample are provided in Exhibit 6.Exhibit 7shows

a correlation matrix for the dataset.Most of the variables are not highly correlated.

Following a rule of the thumb,multicolinearity becomes an issue if the R 2is higher

than 80%and pair-wise correlations among regressors are in excess of 0.8.

Model Speci?cation

Apart from the standard panel data estimation techniques (Ooi,1999;Gaud,Jani,

Hoesli,and Bender,2005;Westgaard,Eidet,Frydenberg,and Grosas,2008),other

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S401

Exhibit6

Descriptive Statistics

Variables Mean Median Min.Max.Std.Dev. Dependent

TLA0.3670.3770.000 1.0000.233 LTD0.2230.2210.0000.6110.155 STD0.0530.0030.0000.4960.096 NIE13.144 3.825?18.4101805.070126.182 Independent

ROA0.0500.054?0.1180.2200.041 PPR0.946 1.0300.000 3.3300.634 PPT0.4580.5280.0000.9930.384 SDE0.0240.0160.0000.1120.025 EBT0.6040.080?15.10040.808 3.668 TAA7.5899.0620.00010.706 3.618 TRM?0.003?0.002?0.0110.0030.004 MKT0.5880.6190.000 1.0160.357 Notes:The summary statistics are based on the?nal sample of204?rm-year observations.The dependent variables for the models are the ratio of total liability to total assets(TLA),ratio of long-term debt to total assets(LTD),ratio of short-term debt to total assets(STD),and the interest coverage ratio(NIE).Independent variables for the models are pro?tability:return on assets(ROA); growth opportunities:changes of share price-to-book value of total assets from year to year(PPR); tangibility:ratio of book value of property to total assets(PPT);operating risk:standard deviation of EBIT scaled by total assets over the entire period covered(SDE),changes in EBIT from year to year(EBT);size:natural logarithm of total assets(TAA);time-variant variables:term structure of interest rates measured by year-end yield difference between3-month bank accepted bills and10-year federal government bond yield(TRM),market condition measured by Property Council of Austral(PCA)/Investment Property Databank(IPD)total return index for all property(MKT). techniques have been used to analyze capital?nancing behavior in real estate studies: simultaneous equation model(Giambona,Harding,and Sirmans,2008),linear regression(Morri and Beretta,2008)and logistic models(Ooi,Ong,and Li2007; Boudry,Kallberg,and Liu2010;Ooi,Ong,and Li,2010).In this study,the panel data estimation technique is adopted.Panel data estimation techniques improve the ef?ciency of the estimates by providing a larger number of data points and blending characteristics of both cross-sectional and time series data.

The explanatory variables in the measurement and interpretation of variables section are used to proxy for the determinants of A-REIT leverage.It is posited that leverage can be explained by the following variables:

Leverage?f(profitability,growth opportunities,tangibles,operational risk,size, market timing,stapled structure,international operations).(1)

The least square dummy variable(LSDV)model similar to Ooi(1999)is used.The LSDV model may be speci?ed as:

402J OURNAL OF R EAL E STATE L ITERATURE

V OLUME 19,N UMBER 2,2011Exhibit 7

Correlation Matrix

ROA PPR PPT SDE EBT TAA TRM MKT SER SOF SEI SEO SSS INT

ROA 1.000

PPR 0.492 1.000

PPT 0.3160.187 1.000

SDE 0.2530.2610.124 1.000

EBT 0.1460.032?0.0100.099 1.000

TAA 0.5520.6970.5840.4120.069 1.000

TRM ?0.355?0.422?0.181?0.264?0.120?0.406 1.000

MKT 0.5890.7350.3750.3800.1200.777?0.778 1.000

SER 0.082?0.0030.2570.240?0.0200.241?0.1110.175 1.000

SOF 0.0770.0020.302?0.005?0.0150.172?0.0380.117?0.153 1.000

SEI 0.0280.0930.1550.037?0.0260.136?0.0860.105?0.115?0.091 1.000

SEO 0.1950.364?0.1890.2540.0730.197?0.0570.177?0.230?0.182?0.137 1.000

SSS 0.4140.4330.0620.2030.0450.435?0.1570.347?0.059?0.131?0.0800.041 1.000

INT 0.2200.2250.3320.3540.0330.498?0.2270.3750.2930.1680.269?0.1280.086 1.000Notes:The pairwise correlation coef?cients are based on the ?nal sample of 204?rm-year observations.The regressors are pro?tability:return on assets (ROA );growth opportunities:changes of share price-to-book value of total assets from year to year (PPR );tangibility:ratio of book value of property to total assets (PPT );operating risk:standard deviation of EBIT scaled by total assets over the entire period covered (SDE ),changes in EBIT from year to year (EBIT );size:natural logarithm of total assets (TAA );time-variant variables:term structure of interest rates measured by year-end yield difference between 3-month bank accepted bills and 10-year federal government bond yield (TRM ),market condition measured by Property Council of Australia (PCA)/Investment Property Databank (IPD )total return index for all property (MKT );real estate sector ?:retail sector dummy variable of 1or 0otherwise (SER ),of?ce sector dummy variable of 1or 0otherwise (SOF ),industrial sector dummy variable of 1or 0otherwise (SEI ),other property sectors,e.g.,hotel,dummy variable of 1or 0otherwise (SEO );stapled management structure dummy variable of 1or 0otherwise (SSS );and international operations dummy variable of 1or 0otherwise (INT ).

?The diversi?ed property sector has been excluded.

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S403

y????X?v,(2) it i it it

where y

it represents the dependent variable,subscript i denotes the cross-sectional

dimension,and t is the time-series dimension.?is a scalar;X

it contains the set of

explanatory variables in the estimation mode;?is a11?1column matrix of the

partial regression coef?cients;and v

it represents the remaining disturbances in the

regression,which varies with individual?rms and time.

Four proxies are used to measure leverage:total liability to total assets(TLA),total long-term debt to total assets(LTD),total short-term debt to total assets(STD),and interest coverage ratio(NIE).The?rst three measure the determinants of various debt positions and the last measures the ability to meet interest payments on debts.The use of several debt ratios also acts as a robustness test.

Various models are constructed to investigate the determinants of the various leverage positions of total liabilities,long-term debt,short-term debt,and ability to cover interest payments.Model1with TLA as the dependant variable and traditional independent variables found in extant literature is the base case.Market-timing factors, such as real estate market return,term structure of interest rates,and other?rm attributes such a real estate sector(PTY),stapled management structure(SSS),and international operations(INT)are added to the base case for models2to8using TLA, LTD,STD,and NIE as dependant variables.

The unbalanced panel regressions were where carried out in EViews?version6(QMS, 1997).

E MPIRICAL R ESULTS AND A NALYSIS

Eight separate,single equation models were estimated by LSDV.The results are given in Exhibit8.The models explain between56%and89%of the within-sample variance in the dependent variables and the F-statistics show that the models are,overall, strongly signi?cant.

In order to maintain brevity,results of the base model with long-term leverage(LTD), short-term leverage(STD),and interest coverage ratio(NIE)as dependent variables are not shown as their full models produced better results.Except for the coef?cients for tangibility and market timing factors,all the signi?cant regressors have signs that are consistent with a priori expectations.

The signi?cant negative impact of pro?tability(ROA)on total leverage(TLA)is in line with the pecking order theory,which stipulates that more pro?table?rms have a reduced external need for?nancing need.Studies that have come to this conclusion are Rajan and Zingales(1995),Gaud,Jani,Hoesli,and Bender(2005),Bond and Scott(2006),and Morri and Beretta(2008).Hammes and Chen(2004)and Westgaard, Eidet,Frydenberg,and Grosas(2008)?nd a positive relationship,while Ooi(1999)?nds it to be entirely insigni?cant.LTD is signi?cant at1%,though with an anomalous positive sign.STD and NIE have correct signs but are statistically insigni?cant.As pointed out earlier,because of the regulatory requirement for A-REITs to distribute

404J OURNAL OF R EAL E STATE L ITERATURE

V OLUME 19,

N UMBER 2,

2011Exhibit 8

LSDV Regression Results

Variable Expected

Sign Regression 1[1]TLA Regression 2[2]TLA Regression 3[3]TLA Regression 4[4]TLA Regression 5[5]TLA Regression 6[6]LTD Regression 7[7]STD Regression 8[8]NIE ROA (?)?0.581?0.589?0.534?0.566?0.512 2.686?1.276?0.223

(?5.821)***(?4.302)***(?4.123)***(?4.472)***?4.168*** 2.395**?0.766?0.418

PPR (?)?0.072?0.039?0.039?0.037?0.060?0.0170.003

(?4.057)***(?1.345)(?1.465)?1.441?4.085***?0.4940.529

PPT (?)?0.027?0.025?0.044?0.039?0.0440.052?0.0160.023

(?1.551)(?1.723)*(?2.447)**(?2.467)**?2.840** 2.093**?0.302 3.221**

SDE (?)?2.113?2.088?1.8570.001?0.0010.001

(?3.499)***(?3.564)***?3.409*** 1.239?0.9860.949

EBT 0.0040.003

(?1.497)(?1.228)

TAA (?)0.0530.0950.0930.0930.1010.026?0.0520.009

(?16.374)***(?7.690)***(?9.423)***(?9.851)***14.776*** 1.035**?1.996**0.820

TRM (?) 5.202?1.585 2.648 1.067?0.0210.147?0.004

(?1.745)(?0.486)(?0.715)(?0.393)?0.488 1.623*?0.395

MKT (?)0.222?0.0190.1230.0810.0000.0000.000

(?3.107)**(?0.194)(?1.310)(?1.278)?6.388**0.960?0.636

SER 0.1450.1960.2130.1910.052?0.156?0.024

(?1.916)*(?2.938)**(?3.273) 2.882**0.977**?2.030**?2.519**

SOF ?0.161?0.035?0.040?0.050?0.063?0.0900.035

(?1.360)(?0.281)(?0.343)?0.434?2.509**?1.606 3.157***

SEI 0.0700.0850.0800.08811.538 2.880?5.518

(?3.632)***(?3.056)**(?4.105) 3.151** 2.598* 1.676*?1.792*

SEO 0.0760.1420.1460.1410.3260.266?0.092

(?13.256)***(?12.016)***?10.49810.917*** 2.698** 2.179**?1.300

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S

405Exhibit 8(continued)

LSDV Regression Results

Variable Expected

Sign Regression 1[1]TLA Regression 2[2]TLA Regression 3[3]TLA Regression 4[4]TLA Regression 5[5]TLA Regression 6[6]LTD Regression 7[7]STD Regression 8

[8]NIE SSS (?)?0.287?0.292?0.313?0.3050.023?0.309?0.006

(?3.051)**(?3.716)***?4.426?3.995***0.990?3.303***?0.460

INT (?)?0.205?0.195?0.201?0.204?0.4490.234?0.080

(?4.198)***(?4.760)***?4.991?5.170***?4.282*** 1.399?1.461

R 20.8710.8940.8960.8940.8950.7020.7720.568F-Stat.23.80025.07125.58425.70426.854 4.533 6.518 2.527

Notes:Estimation results of LSDV regression on 204?rm-year observations.The dependent variables for the models are the ratio of total liability to total assets (TLA ),ratio of long-term debt to total assets (LTD ),ratio of short-term debt to total assets (STD ),and the interest coverage ratio (NIE ).The regressors are pro?tability:return on assets (ROA );growth opportunities:changes of share price-to-book value of total assets from year to year (PPR );tangibility:ratio of book value of property to total assets (PPT );operating risk:standard deviation of EBIT scaled by total assets over the entire period covered (SDE ),changes in EBIT from year to year (EBT );size:natural logarithm of total assets (TAA );time-variant variables:term structure of interest rates measured by year-end yield difference between 3-month bank accepted bills and 10-year federal government bond yield (TRM ),market condition measured by Property Council of Australia (PCA)/Investment Property Databank (IPD )total return index for all property (MKT );real estate sector ?:retail sector dummy variable of 1or 0otherwise (SER ),of?ce sector dummy variable of 1or 0otherwise (SOF ),industrial sector dummy variable of 1or 0otherwise (SEI ),other property sectors,e.g.,hotel,dummy variable of 1or 0otherwise (SEO );stapled management structure dummy variable of 1or 0otherwise (SSS );and international operations dummy variable of 1or 0otherwise (INT ).Intercepts are not reported.Absolute values of White’s t-statistics are given in parentheses below coef?cient estimates.

*Signi?cant at the 0.10level.

**Signi?cant at the 0.05level.

***Signi?cant at the 0.01level.

?The diversi?ed property sector has been excluded.

406J OURNAL OF R EAL E STATE L ITERATURE

most of their earnings,a pro?table?rm does not necessarily lead to more?nancial slack.

Contrary to the pecking theory,the regression results show a signi?cant negative relationship between TLA and LTD and growth opportunities(PPR)at the1%and 5%levels of signi?cance,respectively.Growth opportunities are statistically insigni?cant determinants of STD and NIE.Ooi(1999)explained the negative relationship on the basis that?rms with a larger proportion of their value accounted for by growth opportunities employ less debt.Fama and French(2002)attribute the signi?cant negative relationship between growth prospects and leverage to?rms having higher agency costs as a result of the underinvestment and asset substitution problems.Furthermore,Rajan(1995)asserts that the negative relationship holds because of the tendency by?rms to issue equity when the stock price is relatively high and from the theoretical evidence that?nancial distress costs are higher for high-growth?rms.Other researchers?nd a positive relationship(Morri and Beretta,2008), and explain this on the basis that growth opportunities add value to a?rm,increase its debt capacity,and allow a large amount of debt to be taken on(Titman and Wessels, 1988).As pointed out by Morri and Cristanziani(2009),the effect of higher or lower growth prospects on leverage is low since the regulatory environment does not allow REITs to retain a larger amount of earnings.This is con?rmed by the omission of PPR in model4,which results in a minimal change in R2of0.2%between models3 and4.

Results show tangibility(PPT)is a signi?cant determinant of leverage,though with an anomalous positive sign for the full models of TLA.LTA and NIE show positive signi?cant signs,with STD showing a negative insigni?cant result.These results are inconsistent with Feng,Ghosh,and Sirmans(2007),who argue that there should be no relationship between tangible assets and leverage ratios on the basis that REITs are expected to have mostly tangible assets,which results in not much variability in the data.The result in the current study supports the proposition that with the adoption of stapled management structures,A-REITs not relying heavily on earnings from real estate development and funds management activities should?nd having a higher tangibility ratio advantageous for leveraging in the long-run.

Although the risk of A-REITs is not constant over the study period and the use of alternative risk measures such as EBT(changes in EBIT from year-to-year)on a rolling window could have been more appropriate,the results of models with EBT were not very different to those in which SDE(standard deviation of EBIT scaled by total assets over the entire period covered)was used.SDE was found to be a signi?cant negative determinant of leverage at1%on a TLA basis.Westgaard,Eidet,Frydenberg, and Grosas(2008)also arrived at a similar result.The result con?rms Morri and Beretta’s(2008)assertion that leverage ratios are very sensitive to changes in the degree of operating risk borne by REITs.Also con?rmed is the assertion by Morri and Cristanziani(2009)that?rms with a high level of operating risk have lower leverage,due to maintaining a moderate total risk pro?le.Leverage increases the volatility of net pro?t.The trade-off theory and the pecking order perspective both recognize this inverse relationship.

V OLUME19,N UMBER2,2011

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S407 The signi?cant positive coef?cient between size(TAA)to TLA and LTD at1%and 5%,respectively,is in line with both static trade-off theory and pecking order theory when size is interpreted as a proxy for cost of?nancial distress((Rajan and Zingales, 1995)and as a proxy for information asymmetries(Rajan and Zingales,1995;Fama and French,2002;Feng,Ghosh,and Sirmans,2007).Rajan and Zingales(1995) contend that the probability of bankruptcy is lower for larger?rms than it is for smaller ?rms and that a positive correlation with leverage should be expected.Furthermore, Rajan and Zingales(1995)and Fama and French(2002)claim that larger?rms disclose more information to external investors than smaller ones do.On a TLA and LTD basis,the results show that larger A-REITs should take on more debt.

As for market timing factors,the results show that only the Property Council of Australia(PCA)/Investment Property Databank(IPD)Total Return Index(MKT)is signi?cant at5%,with a coef?cient of?6.39on a long-term basis.It appears that A-REIT leveraging is not in?uenced on short-term basis by MKT,which is con?rmed by the fact that most A-REIT investments are on a long-term basis and long-term borrowing is preferred to short-term borrowing.The term structure of interest rates variable(TRM)is statistically insigni?cant in all the models.

The results of including real estate sector dummy variables are mixed.Only the retail, industrial,and other real estate sectors are positively signi?cant.The of?ce real estate sector had negative insigni?cant results.A partial explanation in line with trade-off theory that the productivity of a?rm’s assets may also play a role in?nancing choice, those assets that yield high levels of predictable cash?ows,such as retail and industrial assets,are more likely to support higher levels of debt.On a TLA basis, inclusion of real estate sector variables improved the explanatory power of the determinants of A-REITs leverage from87.1%(model2)to89.4%(model2).Bond and Scott(2006)found real estate type effects to be insigni?cant.

Stapled management structure(SSS)is found to be signi?cantly negatively related to TLA and STD at mainly1%,with international operations(INT)being signi?cantly negatively related to TLA and LTD at5%,respectively.These results imply that A-REITs with these features should have lower gearing levels.This result is puzzling as anecdotal evidence has shown that A-REITs with stapled management structures and international operations are much more geared than those with single unit management structures and local operations.However,the?nding by Newell and Peng (2009)of underperformance by A-REITs with these two features during the global ?nancial crisis may partially explain the result.

C ONCLUSION

Research on the determinants of a?rm’s capital structure is an area that?nancial economists have not reached consensus on after MM’s proposition.As for research on REIT capital structure,results of earlier studies were inclined towards the perking order theory,with more recent studies advocating for market timing theory.These studies are predominantly on the U.S.REIT market.This study investigates the determinants of A-REIT capital structure using data on34A-REITs found in the

408J OURNAL OF R EAL E STATE L ITERATURE

V OLUME 19,N UMBER 2,2011

ASX300Index.The signi?cance of the study is shown by A-REITs being the second

largest REIT market globally until December 2008and particularly the major role

that debt funding has played in their expansion.

The results can be summarized as follows:

ⅢThe impact of both pro?tability and growth prospects on REIT leverage is low as the regulatory environment does not allow REITs to retain a

bigger amount of earnings.A pro?table ?rm does not necessarily lead

to more ?nancial slack.The standard rule that debt is supposed to grow

when investments exceed retained earnings and to fall when vice versa,

does not hold due to the payout requirement.

ⅢA-REITs not relying heavily on earnings from real estate development and funds management activities should ?nd having a higher tangibility

ratio advantageous for leveraging in the long run.

ⅢRisk is a signi?cant negative determinant of A-REIT leverage.A-REITs with a high level of operating risk should have lower leverage,due to

the purpose of maintaining a moderate total risk pro?le.The trade-off

theory and the pecking order perspective both recognize this inverse

relationship.

ⅢThe signi?cantly positive relationship between size and leverage is in line with both static trade-off theory and pecking order theory when size

is interpreted as a proxy for the cost of ?nancial distress,as well as

information asymmetries.Intuitively,larger A-REITs should take on

more debt.

ⅢNo evidence is found to support the notion that A-REITs are more likely to use debt when the cost of borrowing is low or to issue equity when

interest rates are high.The term structure of interest rates variable (TRM )

was found to be a statistically insigni?cant determinant of leverage.

However,evidence was found of A-REITs being less likely to default

on their debt commitments in a strong real estate market.

ⅢThe results of the impact of real estate sector on leverage are mixed.Retail,industrial,and other real estate sectors are positively signi?cant.

The of?ce real estate sector had negative insigni?cant results.A partial

explanation,in line with trade-off theory that a productivity ?rm’s assets

may also play a role in ?nancing choice,is that those assets that yield

high levels of predictable cash ?ows,such as retail and industrial assets,

are more likely to support higher levels of debt.

ⅢStapled management structure and international operations have a signi?cant negative impact on leverage,showing that A-REITs with

these features should have lower gearing levels.The result is puzzling

as it has been shown that in a bull market A-REITs with these features

perform strongly.The inverse applies in a bear market.

The study,though,can bene?t from further investigation of the roles played by both

private and public debt funding in A-REITs.This has not been possible in this study

I NVESTIGATING THE C APITAL S TRUCTURE OF A-REIT S409 due to lack of data on private debt.With the passage of time and the growth of the A-REITs market,more data will be available for a much more detailed the investigation of effects of different real estate sectors on A-REIT capital structure.

E NDNOTES

1.Stapled management structure involves funds management and real estate development,in

addition to the traditional passive real estate holding for investment.

2.De Francisco and Bonello(2008)reviewed the value of the Australian commercial real estate

to AU$300billion as at June2008,with A-REITs representing about50%of the market.

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双代号网络图六个参数的两种简易计算方法及实例分析

双代号网络图计算方法是每年建造师考试中的必考题,小到选择题、大到案例分析题,笔者在此总结2种计算方法,并附实例,供大家参考学习,互相交流,考出好成绩。 双代号网络图计算方法一 一、要点: 任何一个工作总时差≥自由时差 自由时差等于各时间间隔的最小值(这点对六时参数的计算非常用用) 关键线路上相邻工作的时间间隔为零,且自由时差=总时差 最迟开始时间—最早开始时间(最小) 关键工作:总时差最小的工作 最迟完成时间—最早完成时间(最小) 在网络计划中,计算工期是根据终点节点的最早完成时间的最大值 二、双代号网络图六时参数我总结的计算步骤(比书上简单得多) ①② t过程 做题次序: 1 4 5 ES LS TF 2 3 6 FS LF FF

步骤一: 1、A 上再做A 下 2 3、起点的A 上=0,下一个的A 上 A 上 4、A 下=A 上+t 过程(时间) 步骤二: 1、 B 下再做B 上 2、 做的方向从结束点往开始点 3、 结束点B 下=T (需要的总时间=结束工作节点中最大的A 下) 结束点B 上=T-t 过程(时间) 4、B 下=前一个的B 上(这里的前一个是从终点起算的) 遇到多指出去的时,取数值小的B 上 B 上=B 下—t 过程(时间) 步骤三: 总时差=B 上—A 上=B 下—A 下 如果不相等,你就是算错了 步骤四: 自由时差=紧后工作A 上(取最小的)—本工作A 下 =紧后工作的最早开始时间—本工作的最迟开始时间 (有多个紧后工作的取最小值) 例:

双代号网络图计算方法二 一、双代号网络图6个时间参数的计算方法(图上计算法) 从左向右累加,多个紧前取大,计算最早开始结束; 从右到左累减,多个紧后取小,计算最迟结束开始。 紧后左上-自己右下=自由时差。 上方之差或下方之差是总时差。 计算某工作总时差的简单方法:①找出关键线路,计算总工期; ②找出经过该工作的所有线路,求出最长的时间 ③该工作总时差=总工期-② 二、双代号时标网络图 双代号时标网络计划是以时间坐标为尺度编制的网络计划,以实

双代号网络图解析实例.doc

一、双代号网络图6个时间参数的计算方法(图上计算法) 从左向右累加,多个紧前取大,计算最早开始结束; 从右到左累减,多个紧后取小,计算最迟结束开始。 紧后左上-自己右下=自由时差。 上方之差或下方之差是总时差。 计算某工作总时差的简单方法:①找出关键线路,计算总工期; ②找出经过该工作的所有线路,求出最长的时间 ③该工作总时差=总工期-② 二、双代号时标网络图 双代号时标网络计划是以时间坐标为尺度编制的网络计划,以实箭线表示工作,以虚箭线 表示虚工作,以波形线表示工作的自由时差。 双代号时标网络图 1、关键线路 在时标双代号网络图上逆方向看,没有出现波形线的线路为关键线路(包括虚工作)。如图中①→②→⑥→⑧ 2、时差计算 1)自由时差 双代号时标网络图自由时差的计算很简单,就是该工作箭线上波形线的长度。 如A工作的FF=0,B工作的FF=1 但是有一种特殊情况,很容易忽略。

如上图,E工作的箭线上没有波形线,但是E工作与其紧后工作之间都有时间间隔,此时E工作 的自由时差=E与其紧后工作时间间隔的最小值,即E的自由时差为1。 2)总时差。 总时差的简单计算方法: 计算哪个工作的总时差,就以哪个工作为起点工作(一定要注意,即不是从头算,也不是 从该工作的紧后算,而是从该工作开始算),寻找通过该工作的所有线路,然后计算各条线路的 波形线的长度和,该工作的总时差=波形线长度和的最小值。 还是以上面的网络图为例,计算E工作的总时差: 以E工作为起点工作,通过E工作的线路有EH和EJ,两条线路的波形线的和都是2,所以此时E 的总时差就是2。 再比如,计算C工作的总时差:通过C工作的线路有三条,CEH,波形线的和为4;CEJ,波 形线的和为4;CGJ,波形线的和为1,那么C的总时差就是1。

双代号网络图时间参数的计算

双代号网络图时间参数的计算 二、工作计算法 【例题】:根据表中逻辑关系,绘制双代号网络图,并采用工作计算法计算各工作的时间参数。

紧前- A A B B、C C D、E E、F H、G 时间 3 3 3 8 5 4 4 2 2 (一)工作的最早开始时间ES i-j --各紧前工作全部完成后,本工作可能开始的最早时刻。

3 6 14 (二)工作的最早完成时间EF i-j EF i-j= ES i-j + D i-j 1 ?计算工期T c等于一个网络计划关键线路所花的时间,即网络计划结束工作最早完成时间的最大值,即T c = max {EF i-n} 2 .当网络计划未规定要求工期T r时,T p= T c 3 .当规定了要求工期T r时,T c

2. 其他工作的最迟完成时间按逆箭头相减,箭尾相碰取小值”计算。--在不影响计划工期的前提下,该工作最迟必须完成的时刻。 (四)工作最迟开始时间LS i-j LS i-j = LF i-j —D i-j --在不影响计划工期的前提下,该工作最迟必须开始的时刻。 (五)工作的总时差TF i-j TF i-j = LS i-j —ES i-j 或TF i-j = LF i-j —EF i-j --在不影响计划工期的前提下,该工作存在的机动时间。

FF i-j = ES j-k — EF i-j 作业1 :根据表中逻辑关系,绘制双代号网络图。 工作 A B C D E F 紧前 工作 - A A B B 、 C D 、E 3 6 6 0 6 — 1 \i 3 F G(4) I 上卩1 0 0 0 3 3 6 9 3 4 14 T L8 0 z o T 5: :1116 5 6 12 6 16 T Lfl J6 5 n N 0 0 0 3 3 0 6 9 3 4 14 5 6卩2 戶 - G(4) :1114 L8 0 1 !0 4 :n 眇s Lfl 1(2) 11(2) 11 ■ Hl N r T 7 B(3) D(8) 6 E(5) X (六)自由时差 FF i-j --在不影响紧后工作最早开始时间的前提下, 该工作存在的机动时间。 6 k> K) ■1114 J E(5) 6 5: S F(4) D(8) 3 6 7 6 9

双代号网络图六个参数计算方法(各实务专业通用)

寄语:不管一建、二建,双代号是必考点,再复杂的网络图也能简单化, 本工作室整理了 三页纸供大家快速掌握,希望大家多学多练,掌握该知识 点,至少十分收入囊中。 双代号网络图六个参数计算的简易方法 一、非常有用的要点: 任何一个工作总时差≥自由时差 自由时差等于各时间间隔的最小值(这点对六时参数的计算非常用用) 关键线路上相邻工作的时间间隔为零,且自由时差=总时差 最迟开始时间—最早开始时间(最小) 关键工作:总时差最小的工作 最迟完成时间—最早完成时间(最小) 在网络计划中,计算工期是根据终点节点的最早完成时间的最大值 二、双代号网络图六时参数我总结的计算步骤(比书上简单得多) ① ② t 过程 做题次序: 1 4 5 ES LS TF 2 3 6 FS LF FF 步骤一: 1、A 上再做 A 下 2、 做的方向从起始工作往结束工作方向; 3、 起点的 A 上=0,下一个的 A 上=前一个的 A 下当遇到多指向时,要取数值大的 A 下

A 上 4、 A 下=A 上+t 过程(时间) 步骤二: 1、 B 下再做 B 上 2、 做的方向从结束点往开始点 3、 结束点 B 下=T (需要的总时间结束点 B 上=T-t 过程(时间) 4、 B 下=前一个的 B 上(这里的前一个是从终点起算的) 遇到多指出去的时,取数值小的 B 上 B 上=B 下—t 过程(时间) 步骤三: 总时差=B 上—A 上=B 下—A 下 如果不相等,你就是算错了 步骤四: 自由时差=紧后工作 A 上(取最小的)—本工作 A 下 =紧后工作的最早开始时间—本工作的最迟开始时间 (有多个紧后工作的取最小值) 例:

双代号网络图最简单的计算方法

建筑工程双代号网络图是应用较为普遍的一种网络计划形式。它是以箭线及其两端节点的编号表示工作的网络图。 双代号网络图中的计算主要有六个时间参数: ES:最早开始时间,指各项工作紧前工作全部完成后,本工作最有可能开始的时刻; EF:最早完成时间,指各项紧前工作全部完成后,本工作有可能完成的最早时刻 LF:最迟完成时间,不影响整个网络计划工期完成的前提下,本工作的最迟完成时间; LS:最迟开始时间,指不影响整个网络计划工期完成的前提下,本工作最迟开始时间; TF:总时差,指不影响计划工期的前提下,本工作可以利用的机动时间; FF:自由时差,不影响紧后工作最早开始的前提下,本工作可以利用的机动时间。 双代号网络图时间参数的计算一般采用图上计算法。下面用例题进行讲解。 例题:试计算下面双代号网络图中,求工作C的总时差? 早时间计算:ES,如果该工作与开始节点相连,最早开始时间为0,即A的最早开始时间ES=0;

EF,最早结束时间等于该工作的最早开始+持续时间,即A的最早结束EF为0+5=5; 如果工作有紧前工作的时候,最早开始等于紧前工作的最早结束取大值,即B的最早开始FS=5,同理最早结束EF为5+6=11,而E 工作的最早开始ES为B、C工作最早结束(11、8)取大值为11。 最迟完成时间计算:LF,从最后节点开始算起也就是自右向左。 如果该工作与结束节点相连,最迟完成时间为计算工期23,即F的最迟结束时间LF=23; 中间工作最迟完成时间等于紧后工作的最迟完成时间减去紧后工作的持续时间。如果工作有紧后工作,最迟完成时间等于紧后工作最迟开始时间取小值。 LS,最迟开始时间等于最迟结束时间减去持续时间,即LS=LF-D; 时差计算: FF,自由时差=(紧后工作的ES-本工作的EF); TF,总时差=(紧后工作的LS-本工作的ES)或者=(紧后工作的LF-本工作的EF)。 该题解析: 则C工作的总时差为3.

双代号网络图的绘制技巧

双代号网络图的绘制技巧 双代号网络图又称网络计划技术或箭条图,简称网络图。在我国随着建筑领域投资包干和招标承包制的深入贯彻执行,在施工过程中对进度管理、工期管理和成本监督方面要求愈益严格,网络计划技术在这方面将成为有效的工具。借助电子计算机,从计划的编制、优化、到执行过程中调整和控制,网络计划技术突现出它的优势,越来越被人们广泛认识、了解和使用。 1 绘图中普遍存在的问题 常听说大家对网络图的绘制比较头疼。因为在绘图时,工序与工序之间的逻辑关系难以把握、什么地方需要架设虚工序看不出来、前边工序什么时候相交、如何为后行工序做准备、网络图开始如何绘制、结尾如何收口等一系列问题都是我们绘制网络图必须遇到的问题和步骤。 如果掌握绘制技巧就能快速准确地完成绘图要求。下面我把这几年自己总结出来一套有效的方法介绍给大家。 2网络图的绘制技巧 2.1网络图的三大要素网络图是由节点、工序和线路三大要素构成的。

2.1.1节点 节点是用圆圈表示箭线之间的分离与交会的连接点。它由不同的代号来区,表示工序的结束与工序的开始的瞬间,具有承上启下的连接作用;它不占用时间,也不消耗资源。在网络图中结点分为开始结点、结束结点和中间结点三种。2.1.2 工序(工作) 工序是指把计划任务按实际需要的粗细程度划分成若干要消耗时间、资源、人力和材料的子项目。在网络图中用两个节点和一条箭线表示。箭线上方表示工序代号,下方表示工序作业时间。 2.1.3线路 线路是指在双代号网络图中从起点节点沿着箭线方向顺序通过一系列箭线和节点而达到终点节点的通道。一个完整的网路图有若干条线路组成,在诸多线路中作业时间相加最长的一条称为关键线路,宜用粗箭线、双箭线表示,使其一目了然。 2.2网络图的绘制技巧 要想快速准确地绘制双代号网路图,应先把工程项目的“工作明细表”分四步认真仔细的进行分析与研究。 2.2.1网络图开头绘制技巧先从“工作明细表”中找出开始的工序。寻找的方法是:只要在“先行工序”一列中没有先行工序的工序,必定是开始的工序。这时候只需画一个

双代号网络图的绘制方法

双代号网络图的绘制方法 一、根据题目要求画出工作逻辑关系矩阵表,格式如下: 二、根据工作逻辑矩阵表计算工作位置代号表,为了使双代号网络图的条理清楚,各工作的布局合理,可以先按照下列原则确定各工作的开始节点位置号和结束节点位置号,然后按各自的节点位置号绘制网络图。

位置代号计算规则: ①无紧前工作的工作(即双代号网络图开始的第一项工作),其开始节点位置号为零; ②有紧前工作的工作,其开始节点位置号等于其紧前工作的开始节点位置号的最大值加1; ③有紧后工作的工作,其结束节点位置号等于其紧后工作的开始节点位置号的最小值; ④无紧后工作的工作(即双代号网络图开始的最后一项工作),其结束节点位置号等于网络图中各工作的结束节点位置号的最大值加1。 三、绘制双代号网络进度计划表,按照下列绘图原则: 1、绘制没有紧前工作的工作箭线,使他们具有相同的开始节点,以保证网络图只有一个起点节点。 2、依次绘制其他工作箭线。这些工作箭线的绘制条件是其所有紧前工作箭线都已经绘制出来。在绘制这些工作箭线时,应按下列原则进行: ①当所要绘制的工作只有一项紧前工作时,则将该工作箭线直接绘制在其紧前工作之后即可。 ②当所要绘制的工作只有多项紧前工作时,应按以下四种情况分别予以考虑:

第一种情况:对于所要绘制的工作而言,如果在其多项紧前工作中存 在一项(且只存在一项)只作为本工作紧前工作的工作(即在紧前工作栏中,该紧前工作只出现一次),则应将本工作箭线直接画在该紧前工作箭 线之后,然后用虚箭线将其他紧前工作箭线的箭头节点与本工作的箭尾节 点分别相连,以表达它们之间的逻辑关系。 第二种情况:对于所要绘制的工作而言,如果在其紧前工作中存在多项只作为本工作紧前工作的工作,应将这些紧前工作的箭线的箭头节点合并,再从合并之后节点开始,画出本工作箭线,然后用虚箭线将其他紧前工作箭线的箭头节点与本工作的箭尾节点分别相连,以表达它们之间的逻辑关系。 第三种情况:对于所要绘制的工作而言,如果不存在第一和第二种情况时,应判断本工作的所有紧前工作是否都同时是其他工作的紧前工作(即在紧前工作栏中,这几项紧前工作是否均同时出现若干次)。如果上述条件成立,应将这些紧前工作的箭线的箭头节点合并,再从合并之后节点开始,画出本工作箭线。 第四种情况:对于所要绘制的工作而言,如果不存在第一和第二种情况,也不存在第三种情况时,则应将本工作箭线单独划在其紧前工作箭线之后的中部,然后用虚箭线将其他紧前工作箭线的箭头节点与本工作的箭尾节点分别相连,以表达它们之间的逻辑关系。 3、当各项工作箭线都绘制出来以后,应合并那些没有紧后工作的工作箭线的箭头节点,以保证网络图只有一个终点节点。

双代号网络图计算(新)

概念部分 双代号网络图是应用较为普遍的一种网络计划形式。它是以箭线及其两端节点的编号表示工作的网络图,如图12-l所示。 图12-1 双代号网络图 双代号网络图中,每一条箭线应表示一项工作。箭线的箭尾节点表示该工作的开始,箭线的箭头节点表示该工作的结束。 工作是指计划任务按需要粗细程度划分而成的、消耗时间或同时也消耗资源的一个子项目或子任务。根据计划编制的粗细不同,工作既可以是一个建设项目、一个单项工程,也可以是一个分项工程乃至一个工序。 一般情况下,工作需要消耗时间和资源(如支模板、浇筑混凝土等),有的则仅是消耗时间而不消耗资源(如混凝土养护、抹灰干燥等技术间歇)。在双代号网络图中,有一种既不消耗时间也不消耗资源的工作——虚工作,它用虚箭线来表示,用以反映一些工作与另外一些工作之间的逻辑关系,如图12-2所示,其中2-3工作即为虚工作。 图12-2 虚工作表示法 节点是指表示工作的开始、结束或连接关系的圆圈(或其他形状的封密图形)、箭线的出发节点叫作工作的起点节点,箭头指向的节点叫作工作的终点节点。任何工作都可以用其箭线前、后的两个节点的编码来表示,起点节点编码在前,终点节点编码在后。 网络图中从起点节点开始,沿箭头方向顺序通过一系列箭线与节点,最后达到终点节点的通路称为线路。一条线路上的各项工作所持续时间的累加之和称为该线路之长,它表示完成该线路上的所有工作需花费的时间。理论部分: 一节点的时间参数 1.节点最早时间 节点最早时间计算一般从起始节点开始,顺着箭线方向依次逐项进行。 (1)起始节点 起始节点i如未规定最早时间ET i时,其值应等于零,即 (12-1) 式中——节点i的最早时间; (2)其他节点

双代号网络图计算最简便方法

双代号网络图参数计算简易方法 一、非常有用的要点: 任何一个工作的总时差≥自由时差; 自由时差等于各时间间隔的最小值(这点对六时参数的计算非常用用); 关键线路上相邻工作的时间间隔为零,且自由时差=总时差; 最迟开始时间—最早开始时间(最小) 关键工作:总时差最小的工作 最迟完成时间—最早完成时间(最小) 在网络计划中,计算工期是根据终点节点的最早完成时间的最大值。 二、双代号网络图六时参数的计算步骤(比书上简单得多) 最早开始ES 最迟开始LS 总时差TF 最早完成EF 最迟完成LF 自由时差FF 做题次序: 1 4 5 2 3 6 先求最早开始,再求最早完成,然后求最迟完成,第4步求最迟开始,第5步求总时差,第6步求自由时差。

步骤一: 1、先求最早开始,然后求最早完成; 2、做题方向:从起始工作往结束工作方向; 3、起点的最早开始= 0,下一个的最早开始=前一个的最早完成;当遇到多指向时,取数值大的最早完成。 最早完成=最早开始+持续时间 步骤二: 1、先求最迟完成,然后求最迟开始; 2、做题方向:从结束工作往开始工作方向; 3、结束点的最迟完成=工期T,(需要的总时间=结束工作节点中最大的最迟完成), 结束点的最迟开始=工期T-持续时间; 4、最迟完成=前一个的最迟开始(这里的前一个是从终点起算的);遇到多指向的时候,取数值小的最迟开始; 最迟开始=最迟完成-持续时间 步骤三: 总时差=最迟开始-最早开始=最迟完成-最早完成;如果不相等,你就是算错了; 步骤四: 自由时差=紧后工作最早开始(取最小的)-最早完成。

例: 总结起来四句话: 1、最早开始时间从起点开始,最早开始=紧前最早结束的max值; 2、最迟完成时间从终点开始,最迟完成=紧后最迟开始的min值; 3、总时差=最迟-最早; 4、自由时差=紧后最早开始的min值-最早完成。 注:总时差=自由时差+紧后总时差的min值。

双代号网络计划图计算方法简述

一、一般双代号网络图(没有时标)6个时间参数的计算方法(图上计算法) 6时间参数示意图: (左上)最早开始时间 | (右上)最迟开始时间 | 总时差 (左下)最早完成时间 | (右下)最迟完成时间 | 自由时差 计算步骤: 1、先计算“最早开始时间”和“最早完成时间”(口诀:早开加持续): 计算方法:起始工作默认“0”为“最早开始时间”,然后从左向右累加工作持续时间,有多个紧前工作的取大值。 2、再计算“最迟开始时间”和“最迟完成时间”(口诀:迟完减持续): 计算方法:结束工作默认“总工期”为“最迟完成时间”,然后从右到左累减工作持续时间,有多个紧后工作取小值。(一定要注意紧前工作和紧后工作的个数) 3、计算自由时差(口诀:后工作早开减本工作早完): 计算方法:紧后工作左上(多个取小)-自己左下=自由时差。 4、计算总时差(口诀:迟开减早开或迟完减早完): 计算方法:右上-左上=右下-左下=总时差。 计算某工作总时差的简单方法:①找出关键线路,计算总工期; ②找出经过该工作的所有线路,求出最长的时间 ③该工作总时差=总工期-② 二、双代号时标网络图(有时标,计算简便) 双代号时标网络计划是以时间坐标为尺度编制的网络计划,以实箭线表示工作,以虚箭线表示虚工作(虚工作没有持续时间,只表示工作之间的逻辑关系,即前一个工作完成后一个工作才能开始),以波形线表示该工作的自由时差。(图中所有时标单位均表示相应的持续时间,另外虚线和波形线要区分) 示例:双代号时标网络图 1、关键线路 在时标双代号网络图上逆方向看,没有出现波形线的线路为关键线路(包括虚工作)。如图中①→②→⑥→⑧

双代号网络计划图计算方法口诀简述

般双代号网络图(没有时标)6个时间参数的计算方法(图上计算法) 6时间参数示意图: (左上)最早开始时间| (右上)最迟开始时间| 总时差 (左下)最早完成时间| (右下)最迟完成时间| 自由时差 计算步骤: 1、先计算“最早开始时间”和“最早完成时间” (口诀:早开加持续): 计算方法:起始工作默认“ 0”为“最早开始时间”,然后从左向右累加工作持续时间,有多个紧前工作的取大值。 2、再计算“最迟开始时间”和“最迟完成时间” (口诀:迟完减持续): 计算方法:结束工作默认“总工期”为“最迟完成时间”,然后从右到左累减工作 持续时间,有多个紧后工作取小值。(一定要注意紧前工作和紧后工作的个数) 3、计算自由时差(口诀:后工作早开减本工作早完): 计算方法:紧后工作左上(多个取小)-自己左下=自由时差。 4、计算总时差(口诀:迟开减早开或迟完减早完): 计算方法:右上-左上二右下-左下二总时差。 计算某工作总时差的简单方法:①找出关键线路,计算总工期; ②找出经过该工作的所有线路,求出最长的时间 ③该工作总时差=总工期-② 二、双代号时标网络图(有时标,计算简便) 双代号时标网络计划是以时间坐标为尺度编制的网络计划,以实箭线表示工作,以虚箭线表示虚工作(虚工作没有持续时间,只表示工作之间的逻辑关系,即前一个工作完成后一个工作才能开始),以波形线表示该工作的自由时差。(图中所有时标单位均表示相应的持续时间,另外虚线和波形线要区分) 示例:双代号时标网络图 双代号吋标网络图 1、关键线路 在时标双代号网络图上逆方向看,没有出现波形线的线路为关键线路(包括虚工作)如图中①一②一⑥一⑧ 2时差计算(这里只说自由时差和总时差,其余4个时差参见前面的累加和累减)1)自由

双代号网络图参数计算的简易方法(优选.)

最新文件---------------- 仅供参考--------------------已改成-----------word文本 --------------------- 方便更改 赠人玫瑰,手留余香。 双代号网络图参数计算的简易方法 一、非常有用的要点: 任何一个工作总时差≥自由时差 自由时差等于各时间间隔的最小值(这点对六时参数的计算非常用用) 关键线路上相邻工作的时间间隔为零,且自由时差=总时差 最迟开始时间—最早开始时间(最小) 关键工作:总时差最小的工作 最迟完成时间—最早完成时间(最小) 在网络计划中,计算工期是根据终点节点的最早完成时间的最大值。 二、双代号网络图六时参数总结的计算步骤(比书上简单得多) 最早开始时间ES 最迟开始时间LS 总时差 最早完成时间EF 最迟完成时间LF 自由时差

简记为: A 上 B 上 总时差 A下 B下自由时差 ①② t过程 做题次序: 1 4 5 2 3 6 步骤一: 1、A上再做A下 2、的方向从起始工作往结束工作方向; 3、起点的A上=0,下一个的A上=前一个的A下; 当遇到多指向时,要取数值大的A 下

A上 4、A下=A上+t过程(时间) 步骤二: 1、B下再做B上 2、做的方向从结束点往开始点 3、结束点B下=T(需要的总时间=结束工作节点中最大的A下) 结束点B 上= T-t过程(时间) 4、B下=前一个的B上(这里的前一个是从终点起算的) 遇到多指出去的时,取数值小的B上 B下 t过程(时间) B上=B下—t过程(时间) 步骤三: 总时差=B 上—A 上 =B 下 —A 下

如果不相等,你就是算错了步骤四: 自由时差=紧后工作A 上(取最小的)—本工作A 下 例: 6 8 2 * 9 11 2

双代号网络图时间参数计算技巧

双代号网络图作为工程项目进度管理中,是最常用的工作进度安排方法,也是工程注册类执业考试中必考内容,对它的掌握程度,决定了实务考试的通过概率大小。 双代号网络图时间参数主要为6个时间参数(最早开始时间、最早完成时间、最迟开始时间、最迟完成时间、总时差和自由时差)的计算,按计算方法可以分为: 1、节点计算法 2、工作计算法 3、表格计算法 节点计算法最适合初学者,其计算方法简单、快速。 计算案例: 某工程项目的双代号网络见下图。(时间单位:月) [问题] 计算时间参数和判断关键线路。 [解答] 1、计算时间参数 (1)计算节点最早时间,计算方法:最早时间:从左向右累加,取最大值。

(2)计算最迟时间, 最迟时间计算方法:从右向左递减,取小值。 2、计算工作的六个时间参数 自由时差:该工作在不影响其紧后工作最早开始时间的情况下所具有的机动时间。 总时差:该工作在不影响总工期情况下所具有的机动时间。 通过前面计算节点的最早和最迟时间,可以先确定工作的最早开始时间和最迟完成时间,根据工作持续时间,计算出最早完成时间和最迟开始时间,以F工作为例,计算F工作的4个参数(以工作计算法标示)如下:

注:EF=ES+工作持续时间 LF=LS+工作持续时间 接下来计算F工作的总时差TF,在工作计算法中,总时差TF=LS-ES或LF-EF,在节点计算法,总时差TF可以紧后工作的最迟时间-本工作的最早完成时间,或者是紧后工作最迟时间-最早时间,以F工作为例计算它的TF: 接下来计算F工作的自由时差FF,根据定义:该工作在不影响其紧后工作最早开始时间的情况下所具有的机动时间,自由时差FF=紧后工作最早(或最小)开始时间-本工作最早完成时间ES,以F工作为例,F的紧后工作为G和H,G工作的最早开始时间为10(即4节点的最早时间),H工作的最早开始时间为11(即5节点的最早时间),G工作的时间最小,所以F的自由时差FF=G工作的最早开始时间ES-F工作的最早完成时间EF:

双代号网络图解析实例

一、双代号网络图6个时间参数的计算方法(图上计算法)从左向右累加,多个紧前取大,计 算最早开始结束;从右到左累减,多个紧后取小,计算最迟结束开始。 紧后左上-自己右下=自由时差。上方之差或下方之差是总时差。 计算某工作总时差的简单方法:①找出关键线路,计算总工期; ②找出经过该工作的所有线路,求出最长的时间 ③该工作总时差=总工期-② 二、双代号时标网络图双代号时标网络计划是以时间坐标为尺度 编制的网络计划,以实箭线表示工作,以虚箭线 表示虚工作,以波形线表示工作的自由时差。 双代号时标网络图 1、关键线路 在时标双代号网络图上逆方向看,没有出现波形线的线路为关键线路(包括虚工作)如图中①一②一⑥一⑧ 2、时差计算1)自由时差 双代号时标网络图自由时差的计算很简单,就是该工作箭线上波形线的长度。 如A工作的FF=O, B工作的FF=1 但是有一种特殊情况,很容易忽略。

如上图,E工作的箭线上没有波形线,但是E工作与其紧后工作之间都有时间间隔,此时E X作的自由时差=E与其紧后工作时间间隔的最小值,即E的自由时差为1。 2)总时差。 总时差的简单计算方法: 计算哪个工作的总时差,就以哪个工作为起点工作(一定要注意,即不是从头算,也不 是 从该工作的紧后算,而是从该工作开始算),寻找通过该工作的所有线路,然后计算各 条线路的 波形线的长度和,该工作的总时差=波形线长度和的最小值。 还是以上面的网络图为例,计算E工作的总时差: 以E工作为起点工作,通过E工作的线路有EH ffi EJ,两条线路的波形线的和都是2,所以此时E 的总时差就是2。 再比如,计算C工作的总时差:通过C工作的线路有三条,CEH波形线的和为4; CEJ 波形线的和为4;CGJ波形线的和为1,那么C的总时差就是1

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