In: Finance
Beth Miller does not believe that the International Fisher Effect holds. Current 1-year interest rates in Europe are 5%, while 1-year interest rates in the U.S. are 3%. Beth converts $100,000 to euros and invests them in Germany. One year later, she converts the euros back to dollars. The current spot rate of the euro is $1.10.
According to the IFE, what should the spot rate of the euro be in 1 year?
If the spot rate of the euro in 1 year is $1.00, what is Beth's percentage return from her strategy?
If the spot rate of the euro in 1 year is $1.08, what is Beth's percentage return from her strategy?
What must the spot rate of the euro be in 1 year for Beth's strategy to be successful?
Part A:
Fwd rate :
Acc to IFE,
Fwd rate = Spot rate * [ (1+Hi) / ( 1 + Fi) ]
Hi = Int rate in US
Fi = Int rate UK
Particulars | Amount |
Spot Rate | $ 1.1000 |
Hi | 3.000% |
Fi | 5.000% |
Home Country | US |
Foreign Country | Germany |
Forward rate for | 1 |
According to Int Rate parity Theorm,
Fwd rate After 1 Years = Spot rate * [ ( 1 + Hi ) ^ n ] / [ ( 1 +
Fi ) ^ n ]
= $ 1.1 * [ ( 1 + 0.03) ^ 1 ] / [ ( 1 + 0.05 ) ^ 1 ]
= $ 1.1 * [ ( 1.03) ^ 1 ] / [ ( 1.05 ) ^ 1 ]
= $ 1.1 * [ 1.03 ] / [ 1.05 ]
= $ 1.1 * [ 0.981 ]
= $ 1.079
Part B:
Amount Invested = $ 100000
Convert them into Euro using spot Rate
= 100000 / 1.1
= 90909.09
Invest them in Gemany for 1 Year and realize the matuiry
Maturity Value = 90909.09 * 1.05
= Euro 95454.55
Convert Them into USD using Spot Rate on Maturity
= 95454.55 * 1.00
= 95454.55
Ret = [ AMount Returned - AMount Invested ] / AMount
Invested
= [ 95454.55 - 100000 ] / 100000
= -4545.45 / 100000
= -0.0455 I.e -4.55%
Part C:
Amount Invested = $ 100000
Convert them into Euro using spot Rate
= 100000 / 1.1
= 90909.09
Invest them in Gemany for 1 Year and realize the matuiry
Maturity Value = 90909.09 * 1.05
= Euro 95454.55
Convert Them into USD using Spot Rate on Maturity
= 95454.55 * 1.08
= 103090.91
Ret = [ AMount Returned - AMount Invested ] / AMount
Invested
= [ 103090.91 - 100000 ] / 100000
= 3090.91 / 100000
= 0.0309 I.e 3.09%
Part D:
Strategy to be successful, The exchange rate shall be more than IFE forward Rate ( $ 1.079 ) as calculated in Part A.