A P 1,000,000 issue of 3%, 15-year bond was sold at 95%. What is the rate of interest of this investment? A. 3.0% B. 3.4% C. 3.7% D. 4.0%

3.00%
3.40%
3.70%
4.00%

The correct answer is B. 3.4%.

The formula for calculating the yield to maturity of a bond is:

$YTM = \dfrac{C + \dfrac{F – P}{N}}{P}$

where:

  • $C$ is the annual coupon payment
  • $F$ is the face value of the bond
  • $P$ is the purchase price of the bond
  • $N$ is the number of years to maturity

In this case, we have:

  • $C = 3\% \times 1,000,000 = 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z"/> Subscribe on YouTube
30,000$
  • $F = 1,000,000$
  • $P = 0.95 \times 1,000,000 = 950,000$
  • $N = 15$
  • Substituting these values into the formula, we get:

    $YTM = \dfrac{30,000 + \dfrac{1,000,000 – 950,000}{15}}{950,000} = 3.4\%$

    Therefore, the rate of interest of this investment is 3.4%.

    Option A is incorrect because it is the coupon rate of the bond, not the yield to maturity.

    Option C is incorrect because it is the yield to maturity of a bond that is sold at par value.

    Option D is incorrect because it is the yield to maturity of a bond that is sold at a discount of 5%.