In: Finance
Suppose you inherit $5 million from your uncle. The interest rate on Australian government bonds is 5% while Peruvian government bonds carry an interest rate of 14%. Also suppose that you expect the Peruvian currency (the new sol) to depreciate by 11% relative to the Aussie dollar. Assuming you do not care about uncertainty, which bond should you purchase?
A. |
Australian bond |
|
B. |
You are indifferent between the two |
|
C. |
Peruvian bond |
The following are the spot and the swap rates of the USD/SFr
Spot 0.6963-0.6968
90-day swap rates 9-14
This means that:
A. |
The Swiss Franc is trading at a forward discount |
|
B. |
There is greater certainty about future rates |
|
C. |
The US dollar is trading at a forward premium |
|
D. |
The Swiss Franc is trading at a forward premium |
1]
If Australian bond is purchased, $ received after 1 year = $5,000,000 * (1 + 5%) = $5,250,000
If Peruvian bond is purchased, $ received after 1 year = $5,000,000 * (1 + 14%) / (1 + 11%) = $5,135,135
Therefore, the Australian bond should be purchased.
The answer is (A)
2]
C - The US dollar is trading at a forward premium
This is because each US dollar can buy a higher quantity of Swiss Franc in the future (after 90 days) than in the spot market. This is indicated by the swap rate, which is quoted as a premium over the spot rate.