Suppose that zero interest rates with continuous compounding are as follows:
Maturity (months) |
Rate (% per annum) |
3 |
3.0 |
6 |
3.2 |
9 |
3.4 |
12 |
3.5 |
15 |
3.6 |
18 |
3.7 |
Calculate forward interest rates for the second, third, fourth, fifth, and sixth quarters.
Sol:
Maturity (months) |
Rate (per annum) |
Quarters |
Forward interest rate |
3 |
3.00% |
||
6 |
3.20% |
2nd quarter |
3.40% |
9 |
3.40% |
3rd quarter |
3.80% |
12 |
3.50% |
4th quarter |
3.80% |
15 |
3.60% |
5th quarter |
4.00% |
18 |
3.70% |
6th quarter |
4.20% |
Workings
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