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Calculate the price of a two-year bond with a face value of $100, a coupon rate of 5%, and a yield-to-maturity of 5%.

Sagot :

The price of the bond is $100.

The bond's price is the present value of the face value plus the present value of the interest accrued throughout the bond's term.

The coupon interest rate is 5% of 100, that is $5 per year. The yield to maturity is also 5%. Because the coupon rate is equal to the yield, the bond's present value will only be its face value.

Present value = 5(P/A, 5%, 2) + 100(P/F, 5%, 2)

                      = 5×1.85941+ 100×0.90703

                       = 100

Therefore, the price of the bond is $100.

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