Question
Here is the list of government zero-coupon bond (invoice) prices with different maturities: Maturity (Invoice) Price One Years $993.0217 Two Years $978.8188 Three Years $967.0194
Here is the list of government zero-coupon bond (invoice) prices with different maturities:
Maturity | (Invoice) Price |
One Years | $993.0217 |
Two Years | $978.8188 |
Three Years | $967.0194 |
Four Years | $948.7170 |
Five Years | $931.1732 |
Six Years | $911.2364 |
Seven Years | $901.0145 |
1. Calculate the current price of a government bond with a face value of $1000 and a coupon rate of 7%. It is an annual coupon bond that matures in 5 years.
2. Calculate the current bond price issued by Suncor Energy if it has a face value of $1000 and a coupon rate of 7%. It matures in 5 years. Use the following table to find the default risk premium. (Assume the default risk is not a function of maturity) Hint: A common practice to find a corporate bond price is to use bond ratings issued by rating agencies. - Use the average default risk premium of bonds with a similar rating as a benchmark for the default risk premium of the corporate bond of your interest. - Add the benchmark risk premium to the risk-free rate and use it as the yield to maturity of the corporate bond. **Please note that the risk-free rate depends on the payment structure of the corporate bond.
Bond | Rating | required rate of interest |
Suncor Energy 7% 5 years from now | BBB+ | ? |
Imperial Oil 8% 3 years from now | AA- | 1.93% |
Woodbridge 10% 5 years from now | AAA | 1.90% |
Potash Corp 3% 5 years from now | BBB+ | 3.20% |
Husky Energy 10%3 years from now | BBB+ | 2.85% |
For part 2, you should calculate the risk-free rate. When we say risk-free rate, you can think of a risk-free bond with a similar payment structure. As for the default risk premiums, you need to calculate them for bonds you like to include in your calculation.
*The required rate of interest on a bond is YTM, so it is equal to the summation of the risk-free rate and default risk premium.
**The corporate bond in part (b) is an annual bond.
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