You buy a 12-year 10 percent annual coupon bond at par value, $1,000. You sell the bond three years later for $1,100. What is your rate of return over this three-year period?Group of answer choices20 percent40 percent10 percent30 percent
Question
You buy a 12-year 10 percent annual coupon bond at par value, 1,100. What is your rate of return over this three-year period?Group of answer choices20 percent40 percent10 percent30 percent
Solution
To calculate the rate of return over the three-year period, you need to consider both the coupon payments received and the capital gain from selling the bond.
Step 1: Calculate the total coupon payments received over three years. The bond has a 10 percent annual coupon rate, so each year you receive 10 percent of the par value, which is 1,000 * 10% = 100 * 3 = $300 in coupon payments.
Step 2: Calculate the capital gain from selling the bond. You bought the bond for 1,100, so your capital gain is 1,000 = $100.
Step 3: Add the total coupon payments and the capital gain to find the total return. 100 = $400.
Step 4: Divide the total return by the initial investment and multiply by 100 to find the rate of return. (1,000) * 100 = 40 percent.
So, your rate of return over this three-year period is 40 percent.
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