In: Finance
Suppose the same information as in question 3. Suppose a dealer quotes a one year forward price of 350 dollars per euro. Describe the transactions you would undertake to engage in an arbitrage.
question 3 below
Suppose the current exchange rate is 320 dollars per euro, the continuously compounded dollar interest rate is 3%, and the continuously compounded Euro interest rate is 1%. What is the one year Euro forward rate?
Forward rate= USD per EURO * E^0.03/e^0.01 | |
Forward rate= | =320*e^0.03/e^0.01 |
Per EURO | 326.46 |
Since given forward rate is 350, we can see that some arbitrage opportunity is available | |
So the funds available are invested in EURO, assumed, 1,000,000 USD are loand from US and invested in EURO | |
Equivelent EURO | =1000000/320 |
3,125.00 | |
This is invested in EURO so amount after 1 year | =3125*exp(0.01) |
3,156.41 | |
Amount converted back to USD | =3156.41*350 |
$ 1,104,742.37 | |
Amount payable in US after 1 year | =1000000*exp(0.03) |
$ 1,030,454.53 | |
So this way there will be gain | 1104742.37-1030454.53 |
So this way there will be gain | $ 74,287.84 |