Step 1: Determine whether an arbitrage opportunity exists.
- We can arrange the formula for covered interest rate parity (CIP) to look like: (1 + rdomestic) − [((1 + rforeign) × ForwardDC/FC) / SpotDC/FC] = 0
- If this condition holds with the financial data above, there are no arbitrage opportunities: (1 + 0.06500) − [((1 + 0.05200) × 31.5000) / 30.73000] = 1.06500 − 1.07836 = -0.01336
- Since the no arbitrage condition does not hold, we move on to:
Step 2: Borrow Domestic or Foreign?
- Rule 1: If the sign on the result of Step 1 is negative, borrow domestic. If the sign is positive, borrow foreign. Here, the sign is negative, so borrow domestic.
- Rule 2: See table below. (Rule 2 is an alternative to Rule 1).
(rd − rf) < (Forward − Spot) / Spot |
Borrow Domestic |
(rd − rf) > (Forward − Spot) / Spot |
Borrow Foreign |
Here, (0.06500 – 0.05200) compared to (31.5000 – 30.73000) / 30.73000 0.013000 < 0.02506, borrow domestic.
Step 3: Conduct Arbitrage and Calculate Profits.
Step |
Description |
Rate |
Calculation |
Result |
a |
Borrow Domestic |
|
MUR 1,000,000 |
MUR 1,000,000 |
b |
Exchange MUR for $ |
Spot |
= MUR 1,000,000 / 30.73000 MUR/$ |
$32,541 |
c |
Lend $ at Foreign (U.S.) Rate |
|
= $32,541 × (1.05200) |
$34,233 |
d |
Contract to sell proceeds fwd1 |
Fwd |
= $34,233 × 31.50000 MUR/$ |
MUR 1,078,340 |
e |
Calculate loan payoff2 |
|
= MUR 1,000,000 × (1.06500) |
MUR 1,065,000 |
f |
Calculate profit (d-e) |
|
|
MUR 13,340 |
Note: 1 This is the amount you will have available to repay the loan. 2 This is the amount you need to repay.
|