In: Finance
How much arbitrage profit can you obtain with the following information? Hint. Covered interest arbitrage Spot exchange rate: 1.1 Euro / dollar Forward exchange rate: 1 Euro / dollar Risk free rate in U.S: 3% Risk free rate in Europe: 2%
Forward rate= EURO per USD * (1+Interest rate in EURO)/(1+Interest rate in USA) | ||
Forward rate= | =1.1*(1+0.02)/(1+0.03) | |
Per USD | 1.09 | |
Since given forward rate is 1.00, we can see that some arbitrage opportunity is available | ||
So the funds available are invested in EURO | ||
Loan taken in USD | $ 100,000 | |
Equivelent EURO | =100000*1.1 | |
€ 110,000 | ||
This is invested in EURO so amount after 12 months | =110000*(1+2%) | |
€ 112,200 | ||
Amount converted back to USD | =112,200/1 | |
$ 112,200 | ||
Amount payable in US after 12 months for loan | =100000*(1+3%) | |
$ 103,000 | ||
So this way there will be gain | 112200-103000 | |
So this way there will be gain | $ 9,200 | |