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A 3-year, semi-annual bond has an 8% coupon rate and a face value of $1,000. If...

A 3-year, semi-annual bond has an 8% coupon rate and a face value of $1,000. If the yield to maturity on the bond is 10%, what is the price of the bond?

Solutions

Expert Solution

Statement showing price of bond:
( In case of semi annual bond, yield= 10/2=5%, Coupon rate=8/2=4%, Years=6
Particulars Time PVf @5% Amount PV
Cash Flows (Interest)                          1.00                   0.9524          40.00                 38.10
Cash Flows (Interest)                          2.00                   0.9070          40.00                 36.28
Cash Flows (Interest)                          3.00                   0.8638          40.00                 34.55
Cash Flows (Interest)                          4.00                   0.8227          40.00                 32.91
Cash Flows (Interest)                          5.00                   0.7835          40.00                 31.34
Cash Flows (Interest)                          6.00                   0.7462          40.00                 29.85
Cash flows (Maturity Amount)                          6.00                   0.7462    1,000.00               746.20
Fair Price               949.23
Price of Bond is $949.23

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