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A retired couple wants to invest in bonds which have $10,000 par values and mature in...

A retired couple wants to invest in bonds which have $10,000 par values and mature in 20 years. Coupons are paid semi-annually on a stated annual coupon rate of 6.5%. Their investment advisor has pointed out a bond with a yield to maturity of 7.75%. They have $150,000 to invest.

Three years after initial purchase, Martha wonders what the yield to maturity on the bonds is now. They are selling for $12,000 each.

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Answer #1
                  K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
                  K =17x2
12000 =∑ [(6.5*10000/200)/(1 + YTM/200)^k]     +   10000/(1 + YTM/200)^17x2
                   k=1
YTM% = 4.77
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