CPA Exam - FAR (Financial Accounting and Reporting)Financial ReportingMedium

A company issues 10-year, $1,000,000 face value bonds with a stated interest rate of 6% when the market interest rate is 7%. Interest is paid annually. Which of the following statements is true regarding the issuance of these bonds?

  1. AThe bonds will be issued at a discount.
  2. BThe bonds will be issued at a premium.
  3. CThe carrying value of the bonds will remain constant over their life.
  4. DThe stated interest rate will be adjusted to the market interest rate.
Show answer & explanation

Correct answer: A. The bonds will be issued at a discount.

When the stated (coupon) interest rate is lower than the market (effective) interest rate, the bonds will be issued at a discount. Investors demand a higher return (market rate), so they will pay less than face value for bonds offering a lower coupon rate to achieve that yield.

Why the other options are wrong

  • B. A premium occurs when the stated interest rate is higher than the market interest rate.
  • C. The carrying value of bonds issued at a discount (or premium) will change over their life as the discount (or premium) is amortized.
  • D. The stated interest rate is fixed by the bond indenture; it is the market interest rate that determines the issue price, not the other way around.

Bond Issuance Price

The issuance price of a bond is the present value of its future cash flows (principal and interest payments), discounted at the market (effective) interest rate at the time of issuance.

  • Stated Rate > Market Rate = Premium.
  • Stated Rate < Market Rate = Discount.
  • Stated Rate = Market Rate = Face Value.
  • Market rate determines the effective interest expense over the bond's life.

Memory trick: Coupon vs Market: Price's start, amortization's art.

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