3.00%
3.40%
3.70%
4.00%
Answer is Right!
Answer is Wrong!
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%.