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Problem 14-21 Yerba Industries is an all-equity firm whose stock has a beta of 1.2 and an expected return of 12.5%. Suppose it issues new
Problem 14-21 | |||||||
Yerba Industries is an all-equity firm whose stock has a beta of 1.2 and an expected return of 12.5%. Suppose it issues new risk-free debt with a 5% yield and repurchases 40% of its stock. Assume perfect capital markets. | |||||||
a. | What is the beta of Yerba stock after this transaction? | ||||||
b. | What is the expected return of Yerba stock after this transaction? | ||||||
Suppose that prior to this transaction, Yerba expected earnings per share this coming year of $1.50, with a forward P/E ratio (that is, the share price divided by the expected earnings for the coming year) of 14. | |||||||
c. | What is Yerbas expected earnings per share after this transaction? Does this change benefit shareholders? Explain. | ||||||
d. | What is Yerbas forward P/E ratio after this transaction? Does the P/E ratio go up or down? | ||||||
Unlevered beta | 1.20 | ||||||
Expected return | 12.50% | ||||||
Risk-free rate | 5.00% | ||||||
New debt level | 40.00% | ||||||
New Debt/Equity | |||||||
Market risk premium | |||||||
a. | What is the beta of Yerba stock after this transaction? | ||||||
New beta | |||||||
b. | What is the expected return of Yerba stock after this transaction? | ||||||
New expected return on equity | |||||||
Suppose that prior to this transaction, Yerba expected earnings per share this coming year of $1.50, with a forward P/E ratio (that is, the share price divided by the expected earnings for the coming year) of 14. | |||||||
c. | What is Yerbas expected earnings per share after this transaction? Does this change benefit shareholders? Explain. | ||||||
Old EPS | $1.50 | ||||||
Forward P/E | 14 | ||||||
Assumed shares | 100 | ||||||
Price per share | |||||||
Old equity | |||||||
New debt | |||||||
New earnings | |||||||
New equity | |||||||
New shares | |||||||
New EPS | |||||||
d. | What is Yerbas forward P/E ratio after this transaction? Does the P/E ratio go up or down? | ||||||
New P/E | |||||||
Price/Earnings ratio | |||||||
Requirements | |||||||
1. | In cell D16, by using cell references, calculate the new debt/equity ratio (1 pt.). | ||||||
2. | In cell D17, by using cell references, calculate the market risk premium (1 pt.). | ||||||
3. | In cell D21, by using cell references, calculate the new beta (1 pt.). | ||||||
4. | In cell D25, by using cell references, calculate the new expected return on equity (1 pt.). | ||||||
5. | In cell D34, by using cell references, calculate the price per share (1 pt.). | ||||||
6. | In cell D35, by using cell references, calculate the old equity (1 pt.). | ||||||
7. | In cell D36, by using cell references, calculate the new debt (1 pt.). | ||||||
8. | In cell D37, by using cell references, calculate the new earnings (1 pt.). | ||||||
9. | In cell D38, by using cell references, calculate the new equity (1 pt.). | ||||||
10. | In cell D39, by using cell references, calculate the new number of shares (1 pt.). | ||||||
11. | In cell D40, by using cell references, calculate the new earnings per share (1 pt.). | ||||||
12. | In cell D44, by using cell references, calculate the new price/earnings ratio (1 pt.). | ||||||
13. | To answer whether the price/earnings ratio rises or falls, you need to compare the new price/earnings ratio to the forward price/earnings ratio. In cell D45, type either Falls, Stays the same, or Rises (1 pt.). |
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