# Case Study on Dorchester Ltd.

Topics: Depreciation, Time, United States dollar Pages: 9 (986 words) Published: November 23, 2011
Suggested Solution to Dorchester Ltd.

Summary of Key Information

The current exchange rate in European terms is So(£/\$) = 1/1.50 = .6667. The initial cost of the project in British pounds is SoCo = £0.6667(\$7,000,000) = £4,666,900.
The U.K. inflation rate is estimated at 4.5% per annum, or the mid-point of the 4%-5% range. The U.S. inflation rate is forecast at 3% per annum. Under the simplifying assumption that PPP holds [pic] = .6667(1.045)t/(1.03)t. The before-tax nominal contribution margin per unit at t=1 is \$4.40(1.03)t-1. It is assumed that Dorchester will be able to sell one-fifth of the 290,000 pounds of candy it presently sells to North America in Eastern Europe the first year the new manufacturing facility is in operation; two-fifths the second year; etc.; and all 290,000 pounds beginning the fifth year. The contribution margin on lost sales per pound in year t equals £3.00(1.045)t. Terminal value will initially be assumed to equal zero.

Straight line depreciation over the seven year economic life of the project is assumed: Dt = \$1,000,000 = \$7,000,000/7 years. The marginal tax rate, (, is the U.K. (or U.S.) rate of 35%. Dorchester will borrow \$1,500,000 at the concessionary loan rate of 7.75% per annum. Optimally, Dorchester should borrow the remaining funds it needs, £1,000,000, in pounds sterling because according to the Fisher equation, the real rate is less for borrowing pounds sterling than it is for borrowing dollars: 5.98% or .0598 = (1.1075)/(1.045) - 1.0 versus

6.31% or .0631 = (1.095)/(1.03) - 1.0.
Kud = 15%.
Calculation of the Present Value of the After-Tax Operating Cash Flows | | | | | | | | | | | | |[pic] x Quantity | | | | | | | | | | | | | | |Year |[pic] |Quantity |x \$4.40 |Quantity |Quantity |[pic] |[pic] | |(t) | | | | | | | | | | | |x (1.03)t-1 |Lost |Lost Sales | | | | | | | | | | | | | | | | |Sales |x £3.00 | | | | | | | | | | | | | | | | | |x (1.045)t | | | | | | | | | | | | | | | |(a) | |(b) |(a + b) | | | | | | | | | | | | | | |£ | |£ |£ |£ | | | | | | | | | | | | | | | | | | | |1 |.6764 |390,000 |1,160,702 |(232,000) |(696,000) |464,702 |262,658...