In: Finance
Currency |
Possible % change in the spot rate |
Probability |
GBP |
0.02 |
0.2 |
GBP |
0.03 |
0.8 |
INR |
0.04 |
0.7 |
INR |
0.05 |
0.3 |
The annual interest rate on the GBP is 3%, the annual interest rate on the INR is 4%, and the annual interest rate in the U.S. is 6%. The
a.The given statement is correct.
Interest rate parity (IRP) is a theory in which the interest rate differential between two countries is equal to the differential between the forward exchange rate and the spot exchange rate.
Interest rates between two countries always different so that wecan get the arbitrage opportunity ny using interest rate parity .
b.The Formula For Interest Rate Parity (IRP) Is
F = S [ (1+iR) / (1+iF) ]
F = Forward rate
iR = Interest rate indomestic country
iF = Interest rate in foreighn country
S = Spot Rate
By observing above equation we can easily get the relationship between Interest rate and forward currency rate ,Hence Interest rate increases Currency value also increses,Hence given statement also correct.
c.
i) we will do it with the example,If we have 100 $ ,
75% Invested in Pounds i.e $ 75
25% Invested in rupees i.e,$ 25
For Pound change in currency
% Change (1) | Probability (2) | (1)*(2) |
0.02 | 0.2 | 0.004 |
0.03 | 0.8 | 0.024 |
Net Change | 0.028 |
For Rupee change in currency
% Change (1) | Probability (2) | (1)*(2) |
0.04 | 0.7 | 0.028 |
0.05 | 0.3 | 0.015 |
Net Change | 0.043 |
Change of Currency | Net Change on Currency |
0.00028 | 0.99972 |
0.00043 | 0.99957 |
Currency type | Currency(1) | Interest Rate(2) | (1)*(2) | Currency Change Effect | Return From currency |
Pound | 75 | 1.03 | 77.25 | 0.99972 | 77.2284 |
Rupess | 25 | 1.04 | 26 | 0.99957 | 25.9888 |
103.2172 | |||||
Intial Amount | 100 | ||||
Net Return | 3.2172 | ||||
Net yield in % | 3.2172% |
If the Company in US , It will get $ 6 ,but investing in other countries it will get $ 3.2172,Hence company should invest
in US.