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How do I determine Bond Selling price?
Total face amount of bond issue = 10,570,000
Stated interest rate = 4.8% Maturity date = 15 years Market rate = 2.925% Paid Semi anually I need to know how to determine the selling price of the bond, the amount of interest due to be paid each period (which I THINK is $253,680 but I'm not sure) and the bond discount or premium. Please help!! |
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You're correct on the semiannual coupon payment (10,570,000 x 0.048 x 0.5).
At the date of issue, the total selling price will be the present value of all of the bond's cash flows, when discounted at the market rate. By convention, use semiannual compounding / discounting, so your present value calc will use a rate of 2.925% / 2, and the discounting period will be six months. The bonds' cash flows are, of course, 30 coupon payments (in the amount you've already determined), every six months until maturity, plus a single payment at maturity equal to the bonds' face amount. Cheers! |
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Here is a tutorial on how to determine the selling price of a bond and there's a connecting article that shows you how to setup an amortization schedule and make the appropriate journal entries... Pricing of Debt Securities |
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I've moved my article on pricing of debt securities to my new site in case anyone is interested... The Basics And Pricing Of Debt Securities (Bonds) | eFinancialAnalysis
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