Question

In: Finance

bond prices par value,    coupon r, Year TM, Yield TM, Price $1,000.000.          5%          20.        &nbsp

bond prices

par value,    coupon r, Year TM, Yield TM, Price
$1,000.000.          5%          20.            5%         ?
$1,000.000.          9%          30.            6%         ?
$5,000.000.          11%        25.            8%         ?
$5,000.000.           6%          5.             12%        ?

find the price for the bond in the following table:

Solutions

Expert Solution

1

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =20
Bond Price =∑ [(5*1000/100)/(1 + 5/100)^k]     +   1000/(1 + 5/100)^20
                   k=1
Bond Price = 1000

2

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =30
Bond Price =∑ [(9*1000/100)/(1 + 6/100)^k]     +   1000/(1 + 6/100)^30
                   k=1
Bond Price = 1412.94

3

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =25
Bond Price =∑ [(11*5000/100)/(1 + 8/100)^k]     +   5000/(1 + 8/100)^25
                   k=1
Bond Price = 6601.22

4

                  K = N
Bond Price =∑ [(Annual Coupon)/(1 + YTM)^k]     +   Par value/(1 + YTM)^N
                   k=1
                  K =5
Bond Price =∑ [(6*5000/100)/(1 + 12/100)^k]     +   5000/(1 + 12/100)^5
                   k=1
Bond Price = 3918.57

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