   Chapter 17, Problem 16P

Chapter
Section
Textbook Problem

FOREIGN INVESTMENT ANALYSIS After all foreign and U.S. taxes, a U.S. corporation expects to receive 2 pounds of dividends per share from a British subsidiary this year. The exchange rate at the end of the year is expected to be \$1.30 per pound, and the pound is expected to depreciate 5% against the dollar each year for an indefinite period. The dividend (in pounds) is expected to grow at 10% a year indefinitely. The parent U.S. corporation owns 10 million shares of the subsidiary. What is the present value in dollars of its equity ownership of the subsidiary? Assume a cost of equity capital of 11% for the subsidiary.

Summary Introduction

To determine: The present value of the equity ownership of the company (subsidiary) in terms of dollars.

Currency depreciation indicates the positive (increase) change in the currency’s value in reference to any other currency. The change may be due to some factors such as change in government policies, and fluctuation in interest rates.

Explanation

Formula to calculate the price per share:

P0=D1reg

Where,

• P0 is the price per share.
• D1 is the dividend at the end.
• re is the cost of equity capital.
• g is the actual growth in dividend.

Formula to calculate total equity:

Total equity=Price per share×Number of equity shares

Formula to calculate the growth in dividend:

Growth in dividend=(1+Appreciation in dividend)(1+Depreciate in pound)1

Compute growth in dividend:

Growth in dividend=(1+Appreciation in dividend)(1+Depreciate in pound)1=(1+0

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