What is the ex-dividend price of a share in a perfect


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Problem 1:

Natsam Corporation has $250 million of excess cash. The firm has no debt and 500 millionshares outstanding with a current market price of $15 per share. Natsam's board has decided to payout this cash as a one-time dividend.

a. What is the ex-dividend price of a share in a perfect capital market?

b. If the board instead decided to use the cash to do a one-time share repurchase, in a perfect capital market, what is the price of the shares once the repurchase is complete?

c. In a perfect capital market, which policy in part (a) or (b) makes investors in the firm better off?

Problem 2: on Distribution to Shareholders Based on Chapter 17 Payout Policy

Suppose that all capital gains are taxed at a 25% rate and that the dividend tax rate is 50%. 

Arbuckle Corporation is currently trading for $30 and is about to pay a $6 special dividend.

a. Absent any other trading frictions or news, what will its share price be just after the dividend is paid?

Suppose Arbuckle made a surprise announcement that it would do a share repurchase rather than pay a special dividend.

b. What net tax savings per share for an investor would result from this decision?

c. What would happen to Arbuckle's stock price upon the announcement of this change?

Problem 3:

Que Corporation pays a regular dividend of $1 per share. Typically, the stock price drops by $0.80 per share when the stock goes ex-dividend. Suppose the capital gains tax rate is 20%, but investors pay different tax rates on dividends.

Absent transactions costs, what is the highest dividend tax rate of an investor who could gain from trading to capture the dividend?

Problem 4:

Three years ago, you founded your own company. You invested $100,000 of your money and received 5 million shares of Series A preferred stock. Since then, your company has been through three additional rounds of financing.


Round

Price ($)

Number of Shares

Series B

0.50

1,000,000

Series C

2.00

500,000

Series D

4.00

500,000

a. What is the pre-money valuation for the Series D funding round?

b. What is the post-money valuation for the Series D funding round?

c. Assuming that you own only the Series A preferred stock (and that each share of all series of preferred stock is convertible into one share of common stock), what percentage of the firm do you own after the last funding round?

Problem 5:

Consider the entrepreneur described in Section 14.1 (and referenced in Tables 14.1-14.3). Suppose she funds the project by borrowing $750 rather than $500.

a. According to MM Proposition I, what is the value of the equity? What are its cash flows if the economy is strong? What are its cash flows if the economy is weak?

b. What is the return of the equity in each case? What is its expected return?

c. What is the risk premium of equity in each case? What is the sensitivity of the levered equity return to systematic risk? How does its sensitivity compare to that of unlevered equity? How does its risk premium compare to that of unlevered equity?

d. What is the debt-equity ratio of the firm in this case?

e. What is the firm's WACC in this case?

Problem 6:

In mid-2012, AOL Inc. had $100 million in debt, total equity capitalization of $3.1 billion, and an equity beta of 0.90 (as reported on Yahoo! Finance). Included in AOL's assets was $1.5 billion in cash and risk-free securities. Assume that the risk-free rate of interest is 3% and the market risk premium is 4%.

a. What is AOL's enterprise value?

b. What is the beta of AOL's business assets?

c. What is AOL's WACC?

Problem 7:

Acme Storage has a market capitalization of $100 million and debt outstanding of $40 million. Acme plans to maintain this same debt-equity ratio in the future. The firm pays an interest rate of 7.5% on its debt and has a corporate tax rate of 35%.

a. If Acme's free cash flow is expected to be $7 million next year and is expected to grow at a rate of 3% per year, what is Acme's WACC?

b. What is the value of Acme's interest tax shield?

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