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One year before maturity, the price of a bond with a principal amount of $1,000 and a coupon rate of 5% paid annually fell to $981. The one-year interest rateGroup of answer choicesrose to 7.0%.rose to 6.0%.rose to 8.5%.remained at 5%.

Question

One year before maturity, the price of a bond with a principal amount of 1,000andacouponrateof51,000 and a coupon rate of 5% paid annually fell to 981. The one-year interest rateGroup of answer choicesrose to 7.0%.rose to 6.0%.rose to 8.5%.remained at 5%.

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Solution

To find the one-year interest rate, we need to consider the bond's price, the coupon payment it will make in the next year, and its face value that will be paid back at maturity.

The bond's coupon payment in the next year would be 5% of 1,000,whichis1,000, which is 50.

At maturity, the bondholder will receive the face value of the bond, which is $1,000.

So, the total amount the bondholder will receive in one year is 1,000(facevalue)+1,000 (face value) + 50 (coupon payment) = $1,050.

If the bond's price one year before maturity is $981, then the one-year interest rate can be calculated as follows:

Interest rate = (Total amount received - Price of the bond) / Price of the bond Interest rate = (1,0501,050 - 981) / 981Interestrate=981 Interest rate = 69 / $981 ≈ 0.0703 or 7.03%

So, the one-year interest rate rose to approximately 7.0%.

This problem has been solved

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