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1997年兩稅合一改革對系統風險之影響

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行政院國家科學委員會

補助專題研究計畫成果

報告

1997 年兩稅合一改革對系統

風險之影響

Impact of 1997 Taiwan tax

reform on systematic risk

計畫類別:個別型計畫

計畫編號:NSC

89-2416-H-002-066-執行期間:89 年 8 月 1 日

至 90 年 7 月 31 日

計畫主持人:劉啟群

執行單位:國立臺灣大學會計系

國 90 年 10 月 1 日

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一、中文摘要 本研究目的係分析臺灣 1997 年稅率調降對銀行系 統風險之影響 ,理論上, 所得稅稅率越高銀行系統 風險越低, 相反的, 臺灣 1997 年所得稅稅率調降, 將導致銀行系統風險之提高. 實證結果與理論之預 測相符, 1998 年後臺灣銀行系統風險顯著提高. 關鍵詞:系統風險 Abstract

The purpose of this study is to examine how 1997 Taiwan Tax Reform can be employed to evaluate change of firm systematic risk. It has been shown in prior literature that firm risk depends on a combination of many firm characteristics such as production technology, product market, and sources of funds. We show that the tax rate change in 1997, both in theory and empirical results, leads to higher systematic risk in Taiwan banking industry.

Keywords: systematic r isk

二、Motivation and Empirical Results

The purpose of this study is to examine how 1997 Taiwan Tax Reform can be employed to evaluate firm systematic risk. It has been shown in prior literature that firm risk depends on a combination of many firm characteristics such as production technology, product market, and sources of funds. In other words, the sources of firm risk can be traced to intrinsic business risk, operating risk and financing risk. Intrinsic risk reflects uncertainty about the changes in product demand (unit sales price and quantity sold), and production factor prices and input efficiency. Operating risk is influenced by firm production technology, i.e., how a firm produces its products. For example, capital-intensive firms tend to

utilize more fixed input such as heavy equipment than labor-intensive firms. Financing risk is related to the leverage through borrowings. Hence, financial statements containing information about asset and capital structures will exhibit the differences in firm production technology and the relative sources of funds.

A considerable amount of theoretical research decomposes systematic risk (beta) into its corporate determinants. The composition of a company‘s capital and asset structures has significant implications for users of accounting information. Financial leverage and operating leverage are the net results of a

company’s capital and asset investment decisions, and are important variables in issues concerning the risk of a firm.

Hamada(1969) and Hamada(1972) developed a model relating market beta before and after debt financing under the assumption that the validity of CAPM and the proposition of Modigliani and Miller hold, and firms can borrow freely at risk-free rates. Hamada(1969,1972) resolve the risk into two components – an intrinsic operating risk and financial risk. His results show that

u

E

D β

β

 +

=

1

Where D is market value of total debts; E denotes market value of total equity;

u

β

denotes the beta with no debt financing. The risk of a firm will increase linearly with the debt-equity ratio. The systematic risk of a levered firm consists of two components: (a) a financial leverage component, and (b) an operating component. Yagill (1982), Arditti, Levy & Sarnat (1977), Brennan(1970), Farrar and Lelwyn(1967), and Stiglitz(1973)

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on the risk of a firm, and the derived relation is as follows:

(

)(

)

(

)

u d e

E

T

D

T

T

β

β





+

=

1

1

1

1

Where T is the corporate tax rate, and

T

e and

T

d are the marginal tax rates applicable to holders of the firm’s equity and debt securities respectively.

Bierman and Oldfield (1979) and Conine (1980) extend Hamada’s risk relation to the risky debt valuation. Financial risk can further be decomposed into the following relation:

(

) (



(

)(

)

)



+

=

E

T

D

T

T

d e debt u u

1

1

1

β

β

β

β

where

β

debt is the beta risk of debt security. Operating risk is examined in Rubinstein(1973), Gahlon and Gentry (1982), and Mandelker and Rhee (1984). Operating risk consists of intrinsic business risk of a firm without financial and operating leverage, and risk reflecting the degree of operating leverage, which is defined as the percentage change in earnings that is associated with a given percentage change in the units produced and sold.

Lev (1974) investigates the relationship between operating leverage and risk, and shows that two variables are positively correlated analytically and empirically. Montgomery and Singh(1984) addresses the relationship between diversification strategy and systematic risk, and find that betas for unrelated diversifiers are significantly higher than those of other firms. Hill and Stone(1980) studies the use of

accounting betas and accounting measures of financial

structure to explain and predict market betas. It is shown that both changes in financial structure and systematic operating risk are significant determinants of period-to-period changes in market betas. Amit and Livnat(1988) examines the effect of diversification on the operating risk and financial risk of a firm. It documents that firms reduce their operating risk by diversification and increase financial leverage to take advantage of tax benefits. Beaver, Kettler, and Scholes(1970) investigates the association between market determined and accounting determined risk measures, supports the contention that accounting measures of risk are impounded in the market-price based risk measure.

From prior literature, it shows theoretically that lower corporate income tax rate (T) will increase the systematic risk.

The market model is used to measure the systematic risk. In capital asset pricing model, market beta risk is the risk associated with the systematic, or undiversifiable risk component, measured by the beta of Sharpe‘s market model.

ε

β

t

=

b

0

+

b

1

I

+

biO

t

+

I is a dummy variable, 1 after 1997, 0 otherwise. O stands for all the other accounting and non-accounting information relevant for evaluating bank systematic risk.

The empirical results support our prediction that the corporate income tax rate change in 1997 leads to higher systematic risk in Taiwan banking industry.

三、Referemces

American Institute of Certified Public Accountants, The Jenkins Report, Improving Business Reporting – A Customer Focus.

Amit, Raphael, and Joshua Livnat. 1988. “diversification, Capital Structure, and Systematic Risk: An Empirical Investigation.”

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Journal of Accounting, Auditing and Finance

3:19-48

Ball, R., and P. Brown. “Portfolio Theory and Accounting.” Journal of Accounting Research, Vol. 7(Autumn 1969), pp. 300-323

Beaver,William, and James Magegold. 1975 “The Association Between Market Determined and Accounting Determined Risk Measures.”

Journal of Financial and Quantitative Analysis

10(2): 231-284.

Beaver, William, Paul Kettler and Myron Scholes, “The Association Between Market Determined and Accounting Determined Risk Measures.”

The Accounting 1Review (October 1970) pp. 654-682.

Bierman, Harold, Jr., and George Oldfield. 1979. “Corporate Debt and Corporate Taxes.”

Journal of Finance 35(4):951-956.

Bildersee, J. 1975. The association between a market-determined measure of risk and alternative measures of risk. The Accounting Review (January):81-98.

Black, Fischer. 1993. “Beta and Return.” The Journal of Portfolio Management 20(1)8-18.

Boness, Chen and Jatusipitak “Investigations of Nonstationarity in Prices” Journal of Business 47(October 1974):518-537.

Bowman, Robert. 1979. “The Theoretical Relationship Between Systematic Risk and Financial (Accounting) Variables.” The Journal of Finance 34(3): 617-630.

Bowman, R. 1980a. The importance of a market-value measurement of debt in assessing leverage.

Journal of Accounting Research (Spring): 242-254.

Bowman, R. 1980b. The debt equivalence of leases: An empirical investigation. The Accounting Review (April): 237-253

Chance, D. M. “Evidence on A Simplified Model of Systematic Risk. “Financial Management, Vol. 11(Autumn 1982), pp. 53-63.

Conine, Thomas. 1980. “Corporate Debt and Corporate Taxes: An Extension.” Journal of Finance 35(4):1033-1037.

Fama, Eugene, and Kenneth French. 1992. “The Cross-Section of Expected Stock Returns.” Journal of Finance 47(2):427-265

Financial Accounting Standards Board, 1978, Statement of Financial Accounting Concepts No.1, Objectives of Financial Reporting by Business Enterprises.

Gonedes, Nicholas. 1973. “Evidence on the Information Content of Accounting Numbers: Accounting-Based and Market-Based Estimates of Systematic Risk.” Journal of Financial and Quantitative Analysis 8(2):407-443

Hamada, Robert. 1972. “The Effect of the Firm’s Capital Structure on the Systematic Risk of Common Stocks.” The Journal of Finance

27(2):435-452.

Jahankhani, Ali, and Morgan Lynge, Jr. 1980. “Commercial Bank Financial Policies and Their Impact on Market-Determined Measures of Risk.” Journal of Bank Research 11 (3): 169-178.

Kothari, S. P., Jay Shanken, and Richard G. Sloan. 1995. “The CAPM: Reports of My Death Have Been Greatly Exaggerated.” Unpublished working paper. Rochester, N. Y.: Rochester University.

Kumar, P. 1974, “Market Equilibrium and Corporation Finance: some issues”, Journal of Finance, Vol. 29, No. 4, pp 1175-1188.

Lev, B. 1974. On the association between operating leverage and risk. Journal of Financial and Quantitative Analysis (September): 627-642. Lintner, J. 1965, “The Valuation of Risk Assets and

the Selection oofRisky Investments in Stock Portfolios and Capital Budgets.” The Review of Economics and Statistics (Febuary 1965). Mandelker, Gershon, and S. Ghon Rhee. 1984. “The

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Financial Leverage on Systematic Risk of Common Stock.” Journal of Financial and Quantitative Analysis 19(1): 45-57.

Mohr, Roseanne. 1985. “The Operating Beta of a U.S. Multi-Acitivity Firm: An Empirical Investigation to New Product Diffusion Models.” Graduate School of Business Research Paper No. 1310. Stanford, Calif.: Stanford University.

Mohr, Roseanne. 1985. “The Operating Beta of a U.S. Multi-Activity Firm: An Empirical Investigation.” Journal of Business Finance and Accounting 12(4): 575-593.

Mossin, J. 1966, “Equilibrium in a Capital Asset Market.” Econometrica(October 1966).

Rosenberg, Barr, and Walt McKibben. 1973. “The Prediction of Systematic and Specific Risk in Common Stocks.” Journal of Financial and Quantitative Analysis 8(2): 317-333.

Rubinstein, Mark. 1973. “A Mean-Variance Synthesis of Corporate Financial Theory.” The Journal of Finance 28(1): 167-182.

Scholes, M. 1996. “ Global financial markets, derivative securities, and systemic risks.”

Journal of Risk and Uncertainty (May): 271-286.

Schrand, C. M. and J. A. Elliott. 1998. “Risk and Financial Reporting : A Summary of the Discussion at the 1997 AAA/FASB Conference.” Accounting Horizons Vol. 12 No. 3 (September) :271-282

Sharpe, William. 1964 “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk.” Journal of Finance 19(3): 425-442.

Thompson, D. J. “Sources of Systematic Risk to Common Stocks.” Journal of Business, Vol. 49 (April 1976), pp. 173-188.

Tse, Senyo. 1995. “The Cross-Section of Stock Returns Under Varying Market Conditions.” Unpublished working paper. Austin: University

of Texas.

White, H. 1980. “A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity.” Econometrica 50:817-838.

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