Chapter 19, Problem 16P

### Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250

Chapter
Section

### Fundamentals of Financial Manageme...

15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250
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 $1.29 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 in terms of dollars. Introduction: Exchange rate is at which one currency of a country is exchanged with the currency of another country is termed as exchange rate. Currency depreciation indicates the loss or negative 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 Given information: The expected amount of dividends per share is 2 pounds. The exchange rate of a pound in dollar is$1.29.

The value of pound in reference of dollar is depreciated at 5% or 0.05.

The amount of dividend expected to appreciate (in pounds) by 10% or 0.10.

The number of shares of subsidiary is 10 million.

The cost of equity is 11% or 0.11.

The formula to calculate the price per share:

P0=D1reāg

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.

The formula to calculate the growth in dividend:

GrowthĀ inĀ dividend=(1+AppreciationĀ inĀ dividend)(1+DepreciateĀ inĀ pound)ā1

The formula to calculate total equity:

TotalĀ equity=PriceĀ perĀ shareĆNumberĀ ofĀ equityĀ shares

Compute āgā (Growth in dividend):

GrowthĀ inĀ dividend=(1+AppreciationĀ inĀ dividend)(1+DepreciateĀ inĀ pound)ā1=(1+0

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