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Testing static tradeoff against
pecking order models
of capital structure
Introduction
● The theory of capital
structure has been
dominated by the
search for optimal
capital structure.
● Optimums normally
require a tradeoff
● A value-maximizing
firm would equate
benefit and cost at
the margin, and
operate at the top of
the curve
Static tradeoff theory
● 權衡理論是同時權衡考量舉債所帶來的優點 (即稅盾)
與缺點 (破產成本),並認為公司會有最佳的資本結構
● Predicts that each firm adjusts gradually toward an
optimal debt ratio
● The statistical power of some usual tests of the
tradeoff model is virtually nil
● It predicts reversion of the actual debt ratio towards
a target or optimum
● It predicts a cross-sectional relation between average
debt ratios and asset risk, profitability, tax status and
asset type
Two problems
● None of the empirical literatures have systematically
compared the explanatory power of their fitted
equations with alternative explanations of financing
behavior
● None has checked whether their equations could
seem to work even when actual financing is driven by
other forces. That is, they have not checked the
statistical power of their tests against alternative
hypotheses
● We propose an alternative time-series hypothesis
based on the pecking order theory of optimal capital
structure
Pecking order theory
● The pecking order is one implication of the Myers-Majluf (1984)
analysis of how asymmetric information affects investment and
financing decisions
● First, if costs of financial distress are ignored, the firm will finance
real investment by issuing the safest security it can
● Here “safe” means “not affected by revelation of managers’ inside
information”. In practice, this means that firms which can issue
investment-grade debt will do so rather than issue equity
● Second, if costs of financial distress are serious, the firm will consider
issuing equity to finance real investment or pay down debt
● It may forgo the issue if managers’ information is sufficiently
favorable and the issue price is too low
● In that case, the debt ratio will remain uncomfortably high or real
investment will be curtailed. However, less optimistic managers will
issue equity
Pecking order theory
● There is no well-defined optimal debt ratio, the debt ratio
is just the cumulative result of hierarchical financing over
time
● The attraction of interest tax shields and the threat of
financial distress are assumed second-order
● Highly profitable firms with limited investment
opportunities work down to low debt ratios
● Firms whose investment opportunities outrun internally
generated funds borrow more and more
● Changes in debt ratios are driven by the need for external
funds, not by any attempt to reach an optimal capital
structure
Pecking order theory
● 由於公司經理人與外部投資人存在信息不對稱的現象,
使得公司在進行融資決策時,偏好優先使用交易成本
最小的資金來源
● 企業最優先的融資偏好是內部資金 (包括保留盈餘與
折舊),這是因為內部資金沒有任何發行成本,也不須
揭露企業的財務資訊
● 當內部融資耗盡後,公司才會使用外部資金,而使用
外部資金的優先順序依序為負債、可轉換證券、特別
股,以及普通股。
What we find?
● The pecking order model has much greater time-series
explanatory power than a static tradeoff model
● The pecking order hypothesis can be rejected if actual
financing follows the target-adjustment specification. On
the other hand, this specification of the static tradeoff
hypothesis will appear to work when financing follows the
pecking order
● This false positive results from time patterns of capital
expenditures and operating income, which create mean-
reverting debt ratios even under the pecking order
● Thus we have power to reject the pecking order but not
the static tradeoff specification
Two contributions
● The first is methodological, that is our procedures for
testing the statistical power of alternative hypotheses
about financing behavior
● The second is empirical, based on the excellent
performance of a simple, time-series pecking order
model, at least for our sample of mature, public
companies, and the weak performance of target-
adjustment models derived from the static tradeoff
theory
The funds flow deficit
(1)
The pecking order hypothesis
to be tested
(2)
A target adjustment model
● is the target debt level for firm i at time t
● One common response starts with the historical mean
of the debt ratio for each firm, which can be multiplied
by total capital to obtain an estimated target debt level
● Jalilvand and Harris (1984) report that use of a three-
year moving average does not alter their results
● The hypothesis to be tested is bTA>0, indicating
adjustment towards the target, but also bTA <1, implying
positive adjustment costs
(3)
Data & sample
● All firms on Industrial Copustat
files.(排除管制公用事業與金融公司)
flow of funds statement from 1971
Sample period 1971-1989.
157 firms
帳面負債比率
=長期負債/資產帳面價
值。
資產帳面價值包括淨
流動資金。
資產回報率
=稅後經營收益/資產帳
面價值
整個抽樣期間的平
均負債率=0.18
The targets are based on sample mean debt ratios (0.18) for each
firm
Bpo=0.85,𝑅2
= 0.86, the pecking order does very well.
The pecking order results show that external funding is
dominated by debt.
The pecking order
hypothrsis did less
well in last half of the
1980s. Several of the
low 𝑅2 for 1971-1989
are for firms which
undertook leveraged
restructurings in late
1980s
1971-1989年ㄧ些低的𝑅2
是20世
紀80年代後期進行槓桿重組的公
司
The story so far
● A simple target-adjustment model
provides some explanatory power for
changes in debt ratios, and its
coefficients look reasonable and are
statistically significant.
● A simple pecking order model has
much better explanatory power.
Power
● The target-adjustment model can
generate plausible and
highly”significant”statistical results
even when it is false.
● The simple pecking order test does
not suffer from lack of power.It is
correctly rejected when it is false.
Method
● Statistical power is often investigated
using Monte Carlo simulation on
hypothetical data.
● Generating hypothetical time series of
debt issues or retirements, one series
for each of the 157 sample companies,
using either the target adjustment
model,or the pecking order model.
Generating the financing time series
Pecking order
Using actual data for operating cash
flow.
The firm is assumed to issue debt if the
deficit is positive and retire debt if it is
negative.
Target-adjustment model,with
target set at historical average
It again started with the 1971 year-end
value of the book debt ratio. Ratios for
later years were simulated according to
the basic target adjustment model.
The static tradeoff theory doesn’t
require any particular numerical value
for the adjustment coefficient bTA.
Target-adjustment model,with target
determined by firm characteristics
● Static tradeoff models maintain that a firm’s
optimal debt ratio is a function of risk, asset
type, tax status and profitability.
● The simulated debt ratio series were
generated by using the 1971 value of the book
debt ratio of each firm as the seed value.
● (It believe these coefficients are plausible, but
they were not matched to any particular
empirical study.)
● Data : 157 firms from 1971 to 1989.
● Panel A :
● Panel B :
● Panel C :
● Panel C added an error term.
The fitted models
Table 4
● The results so far strongly increase our
conÞdence in the pecking order against the
target-adjustment model, at least for our sample
of mature public companies.
● This underscores our theme that tests of the
traditional theories of capital structure against a
zero null are not persuasive evidence.
A comment on cross
sectional test
Table 5
Conclusions
● 對於成熟企業的樣本,融資順位是一個良好的ㄧ階描
述企業融資行為。
● 簡單的目標調整模型,當獨力測試時,表現良好。
● 當兩個模型聯合測試時,融資順位的系數和意義幾乎
不變。
● 融資順位的強勁表現不會發生,是因為公司在短期內
為未預期的現金需求提供債務,研究結果顯示,企業
計畫用債務融資預期赤字。
● 我們模擬實驗表明,即使假設,目標調整模型也不會
拒絕。
● 研究結果顯示,融資順位中比在目標調整中有更大的
依從性。

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Testing static tradeoff against pecking order models of capital structure

  • 1. Testing static tradeoff against pecking order models of capital structure
  • 2. Introduction ● The theory of capital structure has been dominated by the search for optimal capital structure. ● Optimums normally require a tradeoff ● A value-maximizing firm would equate benefit and cost at the margin, and operate at the top of the curve
  • 3. Static tradeoff theory ● 權衡理論是同時權衡考量舉債所帶來的優點 (即稅盾) 與缺點 (破產成本),並認為公司會有最佳的資本結構 ● Predicts that each firm adjusts gradually toward an optimal debt ratio ● The statistical power of some usual tests of the tradeoff model is virtually nil ● It predicts reversion of the actual debt ratio towards a target or optimum ● It predicts a cross-sectional relation between average debt ratios and asset risk, profitability, tax status and asset type
  • 4. Two problems ● None of the empirical literatures have systematically compared the explanatory power of their fitted equations with alternative explanations of financing behavior ● None has checked whether their equations could seem to work even when actual financing is driven by other forces. That is, they have not checked the statistical power of their tests against alternative hypotheses ● We propose an alternative time-series hypothesis based on the pecking order theory of optimal capital structure
  • 5. Pecking order theory ● The pecking order is one implication of the Myers-Majluf (1984) analysis of how asymmetric information affects investment and financing decisions ● First, if costs of financial distress are ignored, the firm will finance real investment by issuing the safest security it can ● Here “safe” means “not affected by revelation of managers’ inside information”. In practice, this means that firms which can issue investment-grade debt will do so rather than issue equity ● Second, if costs of financial distress are serious, the firm will consider issuing equity to finance real investment or pay down debt ● It may forgo the issue if managers’ information is sufficiently favorable and the issue price is too low ● In that case, the debt ratio will remain uncomfortably high or real investment will be curtailed. However, less optimistic managers will issue equity
  • 6. Pecking order theory ● There is no well-defined optimal debt ratio, the debt ratio is just the cumulative result of hierarchical financing over time ● The attraction of interest tax shields and the threat of financial distress are assumed second-order ● Highly profitable firms with limited investment opportunities work down to low debt ratios ● Firms whose investment opportunities outrun internally generated funds borrow more and more ● Changes in debt ratios are driven by the need for external funds, not by any attempt to reach an optimal capital structure
  • 7. Pecking order theory ● 由於公司經理人與外部投資人存在信息不對稱的現象, 使得公司在進行融資決策時,偏好優先使用交易成本 最小的資金來源 ● 企業最優先的融資偏好是內部資金 (包括保留盈餘與 折舊),這是因為內部資金沒有任何發行成本,也不須 揭露企業的財務資訊 ● 當內部融資耗盡後,公司才會使用外部資金,而使用 外部資金的優先順序依序為負債、可轉換證券、特別 股,以及普通股。
  • 8. What we find? ● The pecking order model has much greater time-series explanatory power than a static tradeoff model ● The pecking order hypothesis can be rejected if actual financing follows the target-adjustment specification. On the other hand, this specification of the static tradeoff hypothesis will appear to work when financing follows the pecking order ● This false positive results from time patterns of capital expenditures and operating income, which create mean- reverting debt ratios even under the pecking order ● Thus we have power to reject the pecking order but not the static tradeoff specification
  • 9. Two contributions ● The first is methodological, that is our procedures for testing the statistical power of alternative hypotheses about financing behavior ● The second is empirical, based on the excellent performance of a simple, time-series pecking order model, at least for our sample of mature, public companies, and the weak performance of target- adjustment models derived from the static tradeoff theory
  • 10. The funds flow deficit (1)
  • 11. The pecking order hypothesis to be tested (2)
  • 12. A target adjustment model ● is the target debt level for firm i at time t ● One common response starts with the historical mean of the debt ratio for each firm, which can be multiplied by total capital to obtain an estimated target debt level ● Jalilvand and Harris (1984) report that use of a three- year moving average does not alter their results ● The hypothesis to be tested is bTA>0, indicating adjustment towards the target, but also bTA <1, implying positive adjustment costs (3)
  • 13. Data & sample ● All firms on Industrial Copustat files.(排除管制公用事業與金融公司) flow of funds statement from 1971 Sample period 1971-1989. 157 firms
  • 15. The targets are based on sample mean debt ratios (0.18) for each firm Bpo=0.85,𝑅2 = 0.86, the pecking order does very well. The pecking order results show that external funding is dominated by debt.
  • 16. The pecking order hypothrsis did less well in last half of the 1980s. Several of the low 𝑅2 for 1971-1989 are for firms which undertook leveraged restructurings in late 1980s 1971-1989年ㄧ些低的𝑅2 是20世 紀80年代後期進行槓桿重組的公 司
  • 17.
  • 18. The story so far ● A simple target-adjustment model provides some explanatory power for changes in debt ratios, and its coefficients look reasonable and are statistically significant. ● A simple pecking order model has much better explanatory power.
  • 19.
  • 20.
  • 21. Power ● The target-adjustment model can generate plausible and highly”significant”statistical results even when it is false. ● The simple pecking order test does not suffer from lack of power.It is correctly rejected when it is false.
  • 22. Method ● Statistical power is often investigated using Monte Carlo simulation on hypothetical data. ● Generating hypothetical time series of debt issues or retirements, one series for each of the 157 sample companies, using either the target adjustment model,or the pecking order model.
  • 23. Generating the financing time series Pecking order Using actual data for operating cash flow. The firm is assumed to issue debt if the deficit is positive and retire debt if it is negative.
  • 24. Target-adjustment model,with target set at historical average It again started with the 1971 year-end value of the book debt ratio. Ratios for later years were simulated according to the basic target adjustment model. The static tradeoff theory doesn’t require any particular numerical value for the adjustment coefficient bTA.
  • 25. Target-adjustment model,with target determined by firm characteristics ● Static tradeoff models maintain that a firm’s optimal debt ratio is a function of risk, asset type, tax status and profitability. ● The simulated debt ratio series were generated by using the 1971 value of the book debt ratio of each firm as the seed value. ● (It believe these coefficients are plausible, but they were not matched to any particular empirical study.)
  • 26. ● Data : 157 firms from 1971 to 1989. ● Panel A : ● Panel B : ● Panel C : ● Panel C added an error term. The fitted models
  • 28. ● The results so far strongly increase our conÞdence in the pecking order against the target-adjustment model, at least for our sample of mature public companies. ● This underscores our theme that tests of the traditional theories of capital structure against a zero null are not persuasive evidence. A comment on cross sectional test
  • 30. Conclusions ● 對於成熟企業的樣本,融資順位是一個良好的ㄧ階描 述企業融資行為。 ● 簡單的目標調整模型,當獨力測試時,表現良好。 ● 當兩個模型聯合測試時,融資順位的系數和意義幾乎 不變。 ● 融資順位的強勁表現不會發生,是因為公司在短期內 為未預期的現金需求提供債務,研究結果顯示,企業 計畫用債務融資預期赤字。 ● 我們模擬實驗表明,即使假設,目標調整模型也不會 拒絕。 ● 研究結果顯示,融資順位中比在目標調整中有更大的 依從性。