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Consider a firm which is currently worth $400,000. There is a 62% chance that the ex-coupon firm value will increase by 35% and a 38%
- Consider a firm which is currently worth $400,000. There is a 62% chance that the ex-coupon firm value will increase by 35% and a 38% chance that it will decrease by 26%. Two corporate securities are outstanding: 150 shares of stock, and 100 callable, convertible bonds that mature two year later. Each bond has a face value of $1,000 and pays annual coupon at a rate of 10%. If bondholders decide to convert, they can convert at a ratio of half-a-share per bond and receive no accrued interest. Anytime before maturity, stockholders can call the bonds for a fixed call price of $1,200 plus the accrued interest. The firm pays no dividends. The risk-free rate of interest is constant at 8% per year. When the bonds are called, bondholders have the choice to convert the bonds into the stocks.
- (a) What is the current market price per unit of the callable, convertible bonds?
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- (b)What is the option value of the convertibility provision per bond if the bonds are not callable?
- (c)What is the option value of the call provision per bond if the the bonds are not convertible?
- (d)What can you conclude from parts (a), (b), and (c)?
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