Bond pricingCalculating the price of an annual bond is a fundamental skill of a finance professional.What is the price of a two-year bond with a 9% annual coupon and a yield to maturity of 8%?105.25102.5397.51101.78
Question
Bond pricingCalculating the price of an annual bond is a fundamental skill of a finance professional.What is the price of a two-year bond with a 9% annual coupon and a yield to maturity of 8%?105.25102.5397.51101.78
Solution
To calculate the price of a bond, we use the formula for the present value of a bond which is:
P = C * (1 - (1 + r)^-n) / r + F / (1 + r)^n
Where: P = price of the bond C = annual coupon payment r = yield to maturity n = number of years to maturity F = face value of the bond
In this case, we don't have the face value of the bond, so we'll assume it's the standard $1000.
So, C = 9% * 1000 = $90 (this is the annual coupon payment) r = 8% or 0.08 (this is the yield to maturity) n = 2 years
Substituting these values into the formula, we get:
P = 90 * (1 - (1 + 0.08)^-2) / 0.08 + 1000 / (1 + 0.08)^2
Calculating the above expression will give us the price of the bond.
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