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A 5 year bond has a YTM of 7% and a coupon rate of 8%. Assuming...

A 5 year bond has a YTM of 7% and a coupon rate of 8%. Assuming a par value of $1,000 and semi-annual coupon payments, what should this bond be trading for?

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Expert Solution

Statement showing Price or Intrinsic Value                 ( since there is semi annual payment so coupon payment is 1000*0.08/2=$40, yield is 7/2=3.5% and number of years= 5*2=10)
Particulars Time PVf @3.5% Amount PV
Cash Flows (Interest)                          1.00             0.9662          40.00                 38.65
Cash Flows (Interest)                          2.00             0.9335          40.00                 37.34
Cash Flows (Interest)                          3.00             0.9019          40.00                 36.08
Cash Flows (Interest)                          4.00             0.8714          40.00                 34.86
Cash Flows (Interest)                          5.00             0.8420          40.00                 33.68
Cash Flows (Interest)                          6.00             0.8135          40.00                 32.54
Cash Flows (Interest)                          7.00             0.7860          40.00                 31.44
Cash Flows (Interest)                          8.00             0.7594          40.00                 30.38
Cash Flows (Interest)                          9.00             0.7337          40.00                 29.35
Cash Flows (Interest)                        10.00             0.7089          40.00                 28.38
Cash flows (Maturity Amount)                        10.00             0.7089    1,000.00               708.90
Intrinsic Value of Bond or Current Bond Price           1,041.58
Price of bond is 1041.58

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