Interest Rate Risk in Exchange Options
Keywords:
exchange options, option valuation, Margrabe model, risk-free interest rate, dividend yield, derivativesAbstract
Margrabe (1978) studied the problem of the valuation of the option of exchanging one risky asset for another. One interesting feature of the valuation formula that he obtained was that the value of the option was independent of the risk-free rate of interest. In this article we extend Margrabe's result to include assets that pay a dividend yield, and commodities (both commercial and precious). In all cases the initial result holds: the exchange option is independent of the risk-free rate of interest.Downloads
References
Brennan, M. (1958). The supply of storage. American Economic Review, 48(1), 50–72.
Brennan, M., & Schwartz, E. (1979). A continuous time approach to the pricing of bonds. Journal of Banking and Finance, 3(2), 133–155. https://doi.org/10.1016/0378-4266(79)90011-6
Brennan, M., & Schwartz, E. (1982). An equilibrium model of bond pricing and a test of market efficiency. Journal of Financial and Quantitative Analysis, 17(3), 301–328. https://doi.org/10.2307/2330832
Carr, P. (1988). The valuation of sequential exchange opportunities. Journal of Finance, 43(5), 1235–1256. https://doi.org/10.1111/j.1540-6261.1988.tb03967.x
Cox, J., Ross, S., & Rubinstein, M. (1979). Option pricing: A simplified approach. Journal of Financial Economics, 7(3), 229–263.
Geske, R. (1977). The valuation of corporate liabilities as compound options. Journal of Financial and Quantitative Analysis, 12(4), 541–552. https://doi.org/10.2307/2330330
Gibson, R., & Schwartz, E. (1990). Stochastic convenience yield and the pricing of oil contingent claims. Journal of Finance, 45(3), 959–976. https://doi.org/10.1111/j.1540-6261.1990.tb05114.x
Hull, J. (1999). Options, futures, and other derivative securities (4.ª ed.). Prentice Hall.
Layard, P. R. G., & Walters, A. A. (1978). Microeconomic theory. McGraw Hill.
Margrabe, W. (1978). The value of an option to exchange one asset for another. Journal of Finance, 33(1), 177–186. https://doi.org/10.1111/j.1540-6261.1978.tb03397.x
Merton, R. C. (1973). Theory of rational option pricing. Bell Journal of Economics and Management Science, 4(1), 141–183. https://doi.org/10.2307/3003143
Ross, S. (1997). Hedging long run commitments: Exercises in incomplete market pricing. Economic Notes, (2), 385–420.
Routledge, B. R., Seppi, D. J., & Spatt, C. S. (1988). The spark spread: An equilibrium model of cross-commodity price relationships in electricity (Working Paper). Graduate School of Industrial Administration, Carnegie Mellon University.
Routledge, B. R., Seppi, D. J., & Spatt, C. S. (1999). Equilibrium forward curves for commodities (Working Paper). Graduate School of Industrial Administration, Carnegie Mellon University.
Schwartz, E. (1997). The stochastic behavior of commodity prices: Implications for valuation and hedging. Journal of Finance, 52(3), 923–973. https://doi.org/10.1111/j.1540-6261.1997.tb02721.x
Schwartz, E. (1988). Valuing long-term commodity assets. Financial Management, 27(1), 57–66.
Telser, L. (1958). Futures trading and the storage of cotton and wheat. Journal of Political Economy, 66(3), 233–255. https://doi.org/10.1086/258036
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