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Chapter 13
Question 6
IRPT
The current exchange rate between US$ and £ is $1.23 = £1. A UK investor
invests £100,000 in a US deposit account for one year earning interest at a rate
of 5.6% instead of in a UK deposit account earning 3.6% as he feels he will get
a better return.
Assuming interest rate parity holds, show that the investor would end up no
better off from investing in the US than in the UK.
Value after a year if invest in UK: £100,000 + 3.6% = £103,600
Value after a year if invest in US:
Convert £ to $ to invest: £100,000 × 1.23 = $123,000
Interest earned at 5.6% = $123,000 + 5.6% = $129,888
IRPT prediction of rates: 1.23 × 1.056/1.036 = $1.254 = £1
$ investment converted back into £ = $129,888/1.254 = £103,579
Question 7
IRPT
The current exchange rate between Euros and US$ is €0.93 = $1.
If interest in the Eurozone is anticipated to be 5% over the next year and in the
US will be 6%, calculate the forward rate for delivery in a year’s time.
F0 = 0.93 × 1.05/1.06 = €0.921 = $1
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