What is the market interest rate on this premium bond?
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A $100,000 5 year bond with a coupon rate of 5% is issued at 101% of its value find the market interest rate of this premium bond.
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Answer:
The annual interest on that bond is $5,000. Since you paid a 1% premium on that bond the market interest rate is: $5,000/101,000 = 0.049505 = 4.9505%. Please note that this is the effective interest rate and NOT the yield, the latter of which also includes the amortization of the premium paid over the life of the bond.
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Other answers
The preferred method for amortizing the bond premium is the effective interest rate method or the effective interest method. Under the effective interest rate method the amount of interest expense in a given year will correlate with the amount of the bond’s book value. This means that when a bond’s book value decreases, the amount of interest expense will decrease. In short, the effective interest rate method is more logical than the straight-line method of amortizing bond premium.
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