Calculate the yield to maturity, Finance Basics

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Suppose the current yield curve is as follows:

1867_Calculate the yield to maturity.png

(a) Calculate the current market prices of two bonds with the following annual cash flows:

Bond A: A coupon of $60 is due immediately, and payable every 6 months until the bond matures in 2 years. The bond has a face value of $1, 000 payable in 2 years.

Bond B: A coupon of $20 is due immediately, and payable every 6 months until the bond matures in 2 years. The bond has a face value of $1, 000 payable in 2 years.

(b) Calculate the durations of the two bonds.

(c) Calculate the yield to maturity for each bond.

(d) Comment on the relationship between your answers to (b) and (c).


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