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Bonds at a Premium or Discount

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It takes a lot of time to get a bond ready to be issued. Because of that, it's nearly impossible to know what interest rate a bond should offer.

Often the market interest rate is higher or lower than it was when the bond offering was originally planned.

For this reason, bonds are often sold at a:

  • Premium - A bond is sold for more than its face value when the market rate is lower.
  • Discount - A bond is sold for less than its face value when the market rate is higher.

Often bonds will be assigned a number representing how much of a percent discount or premium its price.

For instance, a bond at 90 is sold at a 10% discount, and a bond at 110 is sold a 10 percent premium.

Buyers and sellers in the bond market need to be able to calculate what a premium or discount should look like in order to make a deal attractive to both parties.

Question Shady corp., the mysterious lightbulb vendor, wants to sell a 6-year $59,000.00 bond. The stated rate is 12.00% and the market rate is 9.00%.
  • The present value factor for an ordinary annuity at 9.00% for 6 years is 4.49.
  • The present value factor for an ordinary annuity at 12.00% for 6 years is 4.11.

Will this bond sell at a discount or a premium - and by how much?
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