Question
The following information about bond prices are provided: Maturity (in years) Coupon Rate (p.a. semi-annual compounding) Bond Price 0.5 0 $99.50 1.0 4% $102.50 1.5
The following information about bond prices are provided:
Maturity (in years) | Coupon Rate (p.a. semi-annual compounding) | Bond Price |
0.5 | 0 | $99.50 |
1.0 | 4% | $102.50 |
1.5 | 8% | $109.00 |
2.0 | 4% | $100.00 |
(All bonds have a face value of $100. Coupon rates are expressed with semi-annual compounding)
(a) Calculate the continuously compounded zero rates for the bonds above. Record your answers to 3 decimal places in percentage
(b) What are the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months?
(c) Use the zero rates you calculated from part (a) to estimate the price of a two-year bond providing a semi-annual coupon of 7% per annum and a face value of $100.
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