In: Finance
Robert is considering an investment opportunity based on the information provided in the table below. Explain the steps she has to undertake in order to earn a risk-free profit by engaging in a forward contract.
USD 6-month risk free rate | 2.45% |
EUR 6-month risk free rate | 3.60% |
EUR/USD Spot exchange rate | 1.1278 |
EUR/USD 6-month forward rate | 1.1480 |
1) | The 6 month forward premium for the USD = 1.1480/1.1278-1 = | 1.79% |
2) | Interest rate differential = 3.60%-2.45% = | 1.15% |
3) | As the 6 month forward premium is not equal to | |
the 6 month interest rate differential, there is | ||
scope for covered interest rate arbitrage. | ||
4) | As the interest rate differential is less than the | |
forward premium, borrowing should be made in | ||
the currency having higher interest rate and the | ||
investment should be made in the currency having | ||
lower interest rate. | ||
Steps to be taken on Day 1 are: | ||
*Borrow in euro at 3.60% for 6 months | ||
*Convert the borrowed in euros into $ at the spot | ||
rate of 1.1278. | ||
*Invest the dollars so got at 2.45% for 6 months. | ||
*Enter into a 6 month forward contract to sell the | ||
dollars invested in the previous step (including | ||
interest at 2.45%) | ||
Steps to be taken after 6 months are: | ||
*Realize the dollar deposit along with interest | ||
*Convert it into euros at the forward contract rate | ||
*Pay the euro loan along with interest using the | ||
euros got in the previous step. | ||
*The euros remaining after repaying the loan with | ||
interest is the profit from the covered interest rate | ||
arbitrage. |