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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, 1,000.Yousellthebondthreeyearslaterfor1,000. 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

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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.So,eachyearyoureceive1,000. So, each year you receive 1,000 * 10% = 100.Overthreeyears,youreceiveatotalof100. Over three years, you receive a total of 100 * 3 = $300 in coupon payments.

Step 2: Calculate the capital gain from selling the bond. You bought the bond for 1,000andsolditfor1,000 and sold it for 1,100, so your capital gain is 1,1001,100 - 1,000 = $100.

Step 3: Add the total coupon payments and the capital gain to find the total return. 300+300 + 100 = $400.

Step 4: Divide the total return by the initial investment and multiply by 100 to find the rate of return. (400/400 / 1,000) * 100 = 40 percent.

So, your rate of return over this three-year period is 40 percent.

This problem has been solved

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