The Chicago Board of Trade Treasury Bond Futures Contract allows the short position several delivery options as to when and with which bond the contract will be settled. The timing option allows the short position to choose any business day in the delivery month to make delivery. In addition, the contract settlement price is locked in at 2:00 p . m . when the futures market closes, despite the facts that the short position need not declare an intent to settle the contract until 8:00 p . m . and that trading in Treasury bonds can occur all day in dealer markets. If bond prices change significantly between 2:00 and 8:00 p . m ., the short has the option of settling the contract at a favorable 2:00 p . m . price. This phenomenon, which recurs on every trading day of the delivery month, creates a sequence of 6‐hour put options for the short position which has been dubbed the “wild card option.” This paper presents a valuation model for the wild card option and computes estimates of the value of that option, as well as rules for its optimal exercise.

This paper uses an option valuation model of the firm to answer the question, “What magnitude tax advantage to debt is consistent with the range of observed corporate debt ratios?” We incorporate into the model differential personal tax rates on capital gains and ordinary income. We conclude that variations in the magnitude of bankruptcy costs across firms can not by itself account for the simultaneous existence of levered and unlevered firms. When it is possible for the value of the underlying assets to jump discretely to zero, differences across firms in the probability of this jump can account for the simultaneous existence of levered and unlevered firms. Moreover, if the tax advantage to debt is small, the annual rate of return advantage offered by optimal leverage may be so small as to make the firm indifferent about debt policy over a wide range of debt‐to‐firm value ratios.