Question
Suppose that a U.S. computer company has a wholly owned British subsidiary, Albion Computers PLC, which manufactures and sells personal computers in the U.K. market.
Suppose that a U.S. computer company has a wholly owned British subsidiary, Albion Computers PLC, which manufactures and sells personal computers in the U.K. market. Albion Computers imports microprocessors from Intel, which sells them for $512 per unit. At the current exchange rate of $1.60 per pound, each Intel microprocessor costs 320. Albion Computers hires British workers and sources all the other inputs locally. Albion faces a 50 percent income tax rate in the U.K.
The exhibit below summarizes projected operations for Albion Computers, assuming that the exchange rate will remain unchanged at $1.60 per pound. The company expects to sell 50,000 units of personal computers per year at a selling price of 1,000 per unit. The unit variable cost is 650, which comprises 320 for the imported input and 330 for the locally sourced inputs. Needless to say, the pound price of the imported input will change as the exchange rate changes, which, in turn, can affect the selling price in the U.K. market. Each year, Albion incurs fixed overhead costs of 4 million for rents, property taxes, and the like, regardless of output level. As the exhibit shows, the projected operating cash flow is 7,250,000 per year, which is equivalent to $11,600,000 at the current exchange rate of $1.60.
Sales (50,000 units at 1,000/unit) | 50,000,000 |
Variable costs (50,000 units at 650/unit) | 32,500,000 |
Fixed overhead costs | 4,000,000 |
Depreciation allowances | 1,000,000 |
Net profit before tax | 12,500,000 |
Income tax (50%) | 6,250,000 |
Profit after tax | 6,250,000 |
Add back depreciation | 1,000,000 |
Operating cash flow in pounds | 7,250,000 |
Operating cash flow in dollars | $11,600,000 |
Case 1: Now, consider the possible effect of an appreciation of the pound on the projected dollar operating cash flow of Albion Computers. Assume that the pound may appreciate from $1.60 to $1.90 per pound. The dollar operating cash flow may change following a pound appreciation. (a) Consider that the pound appreciation affects only the selling price and the price of the imported input, with no other changes. Suppose Albion decides to maintain its selling price of its personal computers in the U.S. market at US$1,600 per unit. Compute the projected cash flow in pounds as well as in dollars following the pound appreciation. (b) Assuming that the pound appreciation would affect CFs for 4 years, and assuming a discount rate of 15%, calculate the PV of the CFs over 4 years. Using the benchmark case for comparison, calculate Albions Gain/Loss in operating CFs from the change in the pound. Case 2: Now, assume that the pound is expected to depreciate to $1.50 from the current level of $1.60 per pound. This implies that the pound cost of the imported part, i.e., Intels microprocessors, is 341 (=$512/$1.50). Both the selling price and the price of locally sourced inputs increase at the rate of 8%, reflecting the underlying inflation rate in the U.K. Because of facing an elastic demand for its products, sales volume declines to 40,000 units per year after the price increase. (c) Compute the projected cash flow in pounds as well as in dollars when the exchange rate is $1.50 per pound. (d) Assuming that the pound depreciation would affect CFs for 4 years, and assuming a discount rate of 15%, calculate the PV of the CFs over 4 years. Using the benchmark case for comparison, calculate Albions Gain/Loss in operating CFs from the change in the pound.
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