Assume that the one-year interest rate in Singapore is 2 per cent. The one-year Australian interest rate is 4 per cent. The spot rate of the Singapore dollar (S$) is A$0.9776. The forward rate of the Singapore dollar is A$1.0465.
Quoted Price
a. Is covered interest arbitrage feasible for Australian
investors? Show the results if an Australian company engages in
covered interest arbitrage to support your answer.
b. Assume that the spot rate and interest rates remain unchanged as
coverage interest arbitrage is attempted by Australian investors.
Do you think the forward rate of the Singapore dollar will be
affected? If so, state whether it will increase or decrease, and
explain why.
a] | ||
1] | Forward premium on the S$ = 1.04564/0.9776-1 = | 6.96% |
2] | Difference in interest rates = 4%-2% = | 2.00% |
3] | As the forward premium is not equal to the | |
difference in interest rates, CIA is possible. | ||
Since the interest rate is less than the forward | ||
premium, it would be profitable to borrow in the | ||
currency having higher interest rate and then | ||
investing in the currency having lower interest | ||
rate. | ||
So borrowing should be in A$ and investing in S$. | ||
Assuming that borrowings are made for A$1000. | ||
The maturity value of the borrowing would be | ||
1000*1.04 = A$1040. | ||
The A$1000 would be converted to S$ at spot to | ||
get 1000/0.9776 = S$1022.91 | ||
This would be invested at 2% to have a maturity | ||
value of 1022.91*1.02 = S$1043.37 | ||
Simultaneously a forward contract to sell | ||
S$1043.37 at 1.0465 would be entered into. | ||
After 1 year the investment would be realized | ||
and converted to A$ to get 1043.37*1.0465 = | ||
S$1091.89 | ||
With these A$ the borrowings having a maturity | ||
value of A$1040 would be repaid and the profit | ||
would be 1091.89-1040 = A$51.89. | ||
b] | Yes the forward rate of S$ would be affected as | |
more and more arbitrageurs would engage in | ||
similar profiting. | ||
The result would be a greater supply of S$ in the | ||
forward market resulting in the decrease of the | ||
forward rate for the Singapore dollar. |
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