Question 13: Which particular capital structure should be chosen for the spin-off?

Your firm receives all the proceeds from the sale debt and equity. Since the firm is selling debt and equity, it wants to sell using the capital structure that provides your firm with the most money (sum of whatever debt and equity sells for).

Debt buyers receive debt that pays them coupons of $2 million a year, and $30 million after 20 years (these are expected values as the coupons and principal payments are not riskless, the debt buyers realize the firms could default). They price the debt using a discount rate of 4 percent. Equity buyers receive expected dividends of $3 million starting from year 5, and growing at a rate of 4 percent per year (a growing perpetuity). They price the equity using a discount rate of 7.5 percent.

Debt buyers receive debt that pays them coupons of $1 million a year, and $12 million after 20 years (these are expected values as the coupons and principal payments are not riskless, the debt buyers realize the firms could default). They price the debt using a discount rate of 3.5 percent. Equity buyers receive expected dividends of $3.9 million starting from year 5, and growing at a rate of 4.5 percent per year (a growing perpetuity). They price the equity using a discount rate of 7 percent.