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Throwing away a billion dollars: the cost of suboptimal exercise strategies in the swaptions market

Journal of Financial Economics 2001 62(1), 39-66
This paper studies the costs of applying single-factor exercise strategies to American swap options when the term structure is actually driven by multiple factors. Using a multifactor string market model of the term structure, we find that even when single-factor models are recalibrated to match the market at every exercise date, the exercise strategies they imply can be suboptimal. Based on estimates of notional amounts outstanding, the total present value costs of following single-factor strategies could be several billion dollars. These results illustrate the importance of using well-specified term structure models.

Analyzing Convertible Bonds

Journal of Financial and Quantitative Analysis 1980 15(4), 907
Michael J. Brennan, Eduardo S. Schwartz, Analyzing Convertible Bonds, The Journal of Financial and Quantitative Analysis, Vol. 15, No. 4, Proceedings of 15th Annual Conference of the Western Finance Association, June 19-21, 1980, San Diego, California (Nov., 1980), pp. 907-929

Savings bonds, retractable bonds and callable bonds

Journal of Financial Economics 1977 5(1), 67-88
Savings bonds, retractable bonds and callable bonds are each equivalent to a straight bond with an option. Neglecting default risk the value of these contingent claims depends upon the riskless interest rate. This paper employs the option pricing framework to value these bonds, under the assumptions that the interest rate follows a Gauss-Wiener process and that the pure expectations hypothesis holds.

The pricing of equity-linked life insurance policies with an asset value guarantee

Journal of Financial Economics 1976 3(3), 195-213
This paper considers the equilibrium pricing of equity-linked life insurance policies with an asset value guarantee; such policies provide for benefits which depend upon the performance of a reference portfolio subject to a minimum guaranteed benefit. The benefit is decomposed into a sure amount and an immediately exercisable call option on the reference portfolio. A numerical procedure for determining the value of the call option is presented and the risk minimizing investment strategy to be followed by the issuer of the policy is derived.