Ford can borrow dollars at 12% or Swiss francs at 80% for l year. The peso:dollar exchange rate is expected to move from $1 Fr 1.24 currently to $1 = Fr 1.25 by year's end. (15.10)\
a. What is the expected after-tax dollar cost of borrowing dollars for one year if the Swiss corporate tax rate is 35%?
b. What is Ford's expected after-tax dollar cost of borrowing Swiss francs for one year?
c. At what exchange rate will the after tax Swiss franc cost of borrowing dollars equal the after-tax Swiss franc cost of borrowing francs?
SOLUTION:
A)LET US ASSUME THAT FORD WANTS TO BORROW $ 100000.
CASE1) DOLLAR BORROWING
INTEREST TO BE PAID NET OF TAX AFTER ONE YEAR= $100000*12%(0.6)
NOTE: HERE IT IS ASSUMED THAT TAX RATE IN US IS 40%.
INTEREST (AFTER TAX) = $ 7200.
COST OF BORROWING= 7200/100000*100
= 7.2%
B) CASE 2: SWISS FRANCS BORROWING
INORDER TO GET $ 100000 WE WILL NOW BORROW EQUIVALENT AMOUNT OF SWISS FRANCS USING SPOT RATE= FR 1.24/$
AMOUNT OF SWISS FRANCS TO BE BORROWED=$100000*1.24
= Fr 124000
INTEREST ON BORROWING AFTER TAX= Fr 124000*80%(0.65)
= Fr 64480
TOTAL Fr PAYABLE AFTER 1 YEAR= 124000+64480
= 188480
OUTFLOW OF $ AFTER 1 YEAR WILL BE= 188480/1.25
= $150784
THEREFORE $ COST OF BORROWING Fr= 50784/100000
= 50.784%
C) THE EXCHANGE RATE AT WHICH THE AFTER TAX SWISS FRANC COB $ EQUALS THE AFTER TAX SWISS FRANC COB FRANCS=188480/7200
= Fr 26.18/$
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