Rank the durations or effective durations of the following pairs of bonds:a. Bond A is a 6%coupon bond, with a 20-year time to maturity selling at par value. Bond B is a 6% coupon bond, with a 20-year maturity time selling below par value. b. Bond A is a 20-year noncallable coupon bond with a coupon rate of 6%, selling at par. Bond B is a 20-year callable coupon bond with a coupon rate of 7%, also selling at par.

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Mathematics

Maestro

17 April, 07:42

Rank the durations or effective durations of the following pairs of bonds:a. Bond A is a 6%coupon bond, with a 20-year time to maturity selling at par value. Bond B is a 6% coupon bond, with a 20-year maturity time selling below par value. b. Bond A is a 20-year noncallable coupon bond with a coupon rate of 6%, selling at par. Bond B is a 20-year callable coupon bond with a coupon rate of 7%, also selling at par.

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Santos Gentry · Answer 1

See Explanation Below

Step-by-step explanation:

a.

By comparison, bond B has a high yield to maturity (YTM) compared to bond A. This is so because bond B sells below par value and all other factors (6% coupon bond) remains equal between the bonds.

So, because bond B sells below par, bond B has a shorter duration

b.

Considering that the coupon payment of bond A as well as its YTM is lower compared to bond B, bond A will have a longer duration

Not only that, bond A's maturity will take longer than bond B since A is non-callable. This feature will also increase the duration for bond A.