A 5.75 percent coupon bond with 10 years left to maturity is priced to offer a 6.5 percent yield to maturity. You believe that in one year, the yield to maturity will be 6.0 percent. What is the change in price the bond will experience in dollars

The change in price is $36.91  

Explanation:

Using the present value pv formula in excel the price of the bond now and in one year's time can be computed:

=pv(rate,nper,pmt,fv)

rate is the yield to maturity which is 6.5% and 6% respectively

nper is the number of years to maturity which is 10 years and 9 years respectively

pmt is the periodic payment of coupon 5.75%*$1000=$57.5

fv is the value receivable on redemption which is $1000 in both cases

=pv(6.5%,10,57.5,1000)

pv=$946.08  

=pv(6.00%,9,57.5,1000)

pv=$983.00  

Change in price =$983.00 -$946.08  =$36.91  

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