1) Universal Auto Limited has a zero coupon bond outstanding with a $50,000 face value that matures in one year. The current market value of the firm's assets is $58,000. The standard deviation of the return on the firm's assets is 28 percent per year, and the risk-free rate is 5 percent per year, compounded continuously. What is the market value of the firm's equity and debt? Use four decimal points for the cumulative probability computations.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
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1) Universal Auto Limited has a zero coupon bond outstanding with a $50,000 face value that matures in one year. The current market value of the firm's assets is $58,000. The standard deviation of the return on the firm's assets is 28 percent per year, and the risk-free rate is 5 percent per year, compounded continuously. What is the market value of the firm's equity and debt? Use four decimal points for the cumulative probability computations.
 2) Suppose the government provides a guarantee for the firm's bond. What will be the market value of the firm's debt? What is the value of the government's guarantee?  
 3) Continuing with part 2) above, the government guarantee may be regarded as a put option Who owns the put option? What is the exercise price of the put option? What should the shareholders and bondholders do if the asset value of the firm drops to $36,000 at the end of one year? Using the idea of options, explain why shareholders in a levered firm have incentives to undertake high risk investments.

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