no-arbitrage values of the firm’s debt and equity. We define the firm’s debt as a promise to pay debtholders the amount X at time 1. Assume the general case that the firm’s debt is risky (that is, >X. In the up state, bondholders will receive the promised amount of X, so =X, and equityholders will receive = -X. In the down state, the firm will default, and bondholders will receive =, while equityholders receive nothing (=0). We will initially value the firm’s levered equity. We can do so by creating…
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