Asked by Jonathan Richardson on May 19, 2024

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The yield to maturity on a bond is:
I. Above the coupon rate when the bond sells at a discount and below the coupon rate when the bond sells at a premium
II. The discount rate that will set the present value of the payments equal to the bond price
III. Equal to the true compound return on investment only if all interest payments received are reinvested at the yield to maturity

A) I only
B) II only
C) I and II only
D) I, II, and III

Yield to Maturity

The total return anticipated on a bond if it is held until it matures, considering all interest payments and capital gains or losses.

Coupon Rate

The annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity.

Premium

An amount paid for an insurance policy or an additional cost above the nominal value of a security or financial instrument.

  • Acquire an in-depth knowledge of the yield to maturity (YTM) and yield to call (YTC) concepts and the elements that determine them.
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Ulises CarrenoMay 20, 2024
Final Answer :
D
Explanation :
All three statements are true. Statement I is true because when a bond sells at a discount, the yield to maturity must be higher than the coupon rate to compensate the investor for purchasing the bond at a lower price. Conversely, when a bond sells at a premium, the yield to maturity must be lower than the coupon rate to reflect the fact that the investor paid more than the face value of the bond. Statement II is true because the yield to maturity is the rate that equates the present value of the bond's cash flows (coupon payments and final maturity payment) with the bond's price. Statement III is true because the yield to maturity is the annual rate of return that an investor would earn if all interest payments received were reinvested at the yield to maturity, so it reflects the compound return on investment.