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Leverage Constraints and the Optimal Hedging of Stock and Bond Options

Published online by Cambridge University Press:  06 April 2009

Vasanttilak Naik  and
Raman Uppal
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Abstract

This paper considers the problem of a financial institution that needs to hedge a stream of state-contingent cash flows while facing borrowing and short-sales restrictions. The study determines analytically the strategy that minimizes the initial cost of hedging the desired cash flow, which is also the upper bound on its market price, and shows that the impact of leverage constraints on the cost of hedging call and put options is significant and, therefore, the biases detected by tests of option pricing models may not represent arbitrage opportunities. The paper also shows that with credit limits, it is optimal to reduce the rate of trading; thus, these constraints need to be recognized when estimating the trading volume generated in replicating contingent payoffs such as portfolio insurance.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 29 , Issue 2 , June 1994 , pp. 199 - 222
Copyright
Copyright © School of Business Administration, University of Washington 1994

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References

Bensaid, B.; Lesne, J.; Pages, H.; and Scheinkman, J.. “Derivative Asset Pricing with Transaction Costs.” Mathematical Finance, 2 (1992), 63–86.CrossRefGoogle Scholar
Black, F., and Scholes, M., “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (1973), 637–654.CrossRefGoogle Scholar
Boyle, P., and Vorst, T.. “Option Pricing in Discrete Time with Transaction Costs.” Journal of Finance, 47 (1991), 271–293.CrossRefGoogle Scholar
Chance, D.An Introduction to Options and Futures. Fort Worth, TX: Dryden (1991).Google Scholar
Cox, J., and Huang, C.. “Optimal Consumption and Portfolio Policies when Asset Prices Follow a Diffusion Process.” Journal of Economic Theory, 49 (1989), 33–83.CrossRefGoogle Scholar
Cox, J.; Ross, S.; and Rubinstein, M.. “Option Pricing: A Simplified Approach.” Journal of Financial Economics, 7 (1979), 229–263.CrossRefGoogle Scholar
Cox, J., and Rubinstein, M.. Options Markets. Englewood Cliffs, NJ: Prentice Hall (1985).Google Scholar
Edirisinghe, C; Naik, V.; and Uppal, R.. “Optimal Replication of Options with Transactions Costs and Trading Restrictions.” Journal of Financial and Quantitative Analysis, 28 (1993), 117–138.CrossRefGoogle Scholar
Grossman, S., and Vila, J-L.. “Optimal Dynamic Trading with Leverage Constraints.” Journal of Financial and Quantitative Analysis, 27 (1992), 151–168.CrossRefGoogle Scholar
He, H., and Pearson, N.. “Consumption and Portfolio Policies with Incomplete Markets and Short-Sale Constraints: The Infinite Dimensional Case.” Journal of Economic Theory, 54 (1991), 259–304.CrossRefGoogle Scholar
Ho, T., and Lee, S.. “Term Structure Movements and Pricing Interest Rate Contingent Claims.” Journal of Finance, 41 (1986), 1011–1029.CrossRefGoogle Scholar
Karatzas, I.; Lehoczky, J.; Sethi, S.; and Shreve, S., “Explicit Solution of a General Consumption/Investment Problem.” Mathematics of Operations Research, 11 (1986), 261–294.CrossRefGoogle Scholar
Leland, H. “Option Pricing and Replication with Transaction Costs.” Journal of Finance, 49 (1985), 1283–1301.CrossRefGoogle Scholar
Margrabe, W. “The Value of an Option to Exchange One Asset for Another.” Journal of Finance, 33 (1978), 177–186.CrossRefGoogle Scholar
Ritchken, P. H., and Kuo, S.. “Option Bounds with Finite Revision Opportunities.” Journal of Finance, 43 (1988), 301–308.CrossRefGoogle Scholar
Robertson, M.Directory of World Futures and Options, Englewood Cliffs, NJ: Prentice Hall (1990).Google Scholar
Rubinstein, M. “Non-Parametric Tests of Alternative Option Pricing Models Using All Reported Trades and Quotes on the 30 Most Active CBOE Option Classes from August 23, 1976 through August 31, 1978.” Journal of Finance, 40 (1985), 455–180.CrossRefGoogle Scholar
Smith, R.; Proffitt, D.; and Stephens, A.. Investments. St. Paul, MN: West Publishing Company (1992).Google Scholar
Stulz, R. “Options on the Minimum or the Maximum of Two Risky Assets.” Journal of Financial Economics, 10 (1982), 161–185.CrossRefGoogle Scholar