Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 18,000 shares of stock outstanding, currently worth $35 per share. Beta Corporation uses leverage in its capital structure. The market value of Beta’s debt is $85,000, and its cost of debt is 9 percent. Each firm is expected to have earnings before interest and tax of $93,000 in perpetuity. Neither firm pays taxes. Assume that every investor can borrow at 9 percent per year, and no market frictions exist (perfect capital markets). What is the value of Alpha Corporation? What is the value of Beta Corporation? What is the market value of Beta Corporation’s equity?
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 18,000 shares of stock outstanding, currently worth $35 per share. Beta Corporation uses leverage in its capital structure. The market value of Beta’s debt is $85,000, and its cost of debt is 9 percent. Each firm is expected to have earnings before interest and tax of $93,000 in perpetuity. Neither firm pays taxes. Assume that every investor can borrow at 9 percent per year, and no market frictions exist (perfect capital markets). What is the value of Alpha Corporation? What is the value of Beta Corporation? What is the market value of Beta Corporation’s equity?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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In-Class Example : MM Proposition I without Corporate Taxes
Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 18,000 shares of stock outstanding, currently worth $35 per share. Beta Corporation uses leverage in its capital structure. The market value of Beta’s debt is $85,000, and its cost of debt is 9 percent. Each firm is expected to have earnings before interest and tax of $93,000 in perpetuity. Neither firm pays taxes. Assume that every investor can borrow at 9 percent per year, and no market frictions exist (perfect capital markets).
- What is the value of Alpha Corporation?
- What is the value of Beta Corporation?
- What is the market value of Beta Corporation’s equity?
- How much will it cost to purchase 20 percent of each firm’s equity?
- Assuming each firm meets its earnings estimates, what will be the dollar return to each position in part (d) over the next year?
- Construct an investment strategy in which an investor purchases 20 percent of Alpha’s equity and replicates both the cost and dollar return of purchasing 20 percent of Beta’s equity. In other words, how much should you borrow to construct an investment strategy that is the same as purchasing 20% of Beta’s equity?
- Is Alpha’s equity more or less risky than beta’s equity?
- What is the Alpha’s cost of capital (R0)?
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