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AFMInterest calculation when hedging against currency changes

Wwilliams197712y ago
HI All Hope the revision is going well. In chapter 18 of the opentuition revision notes in example 6 we borrow $5m dollars at 5.8% and we wish to convert to £ right now. but we will only borrow for 3 months. so the interest rate is 1.45% In the answer it shows we calculate the interest by $5m / 1.0145 = $4,928,536 and this is how much we convert to sterling. How does this make sense? $5,000,000 less $4,928,536 = $71464 we have paid this much interest for the 3 month loan. But i think we should pay 1.45% which is $5,000,000 X 0.0145 = $72500 I am wrong in my 72500 calculation but can anyone explain why please Many thanks for your help
John MoffatJohn MoffatTutor12y ago#1
We are not borrowing $5M dollars. If we did, then the interest would be $72,500, but then we would not be able to repay the borrowing because we only receive $5M from the customer. The whole point of the exercise is to decide how much we can afford to borrow now, given that we will receive $5M in 3 months If we borrow $4,928,536, the the interest will be 1.45% x $4,928,536 = $71,464. This mean that in 3 months time we will owe a total of 4928536 + 71464 = $5M. In three months time we receive $5M from the customer and therefore we will be able to repay the borrowing. If you watch my lecture on this then the reasoning should become clear.
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