LRQ Inc. issued bonds on July 1, 2006. The bonds had a coupon rate of 5.5%, with interest paid semiannually. The face value of the bonds is $1,000 and the bonds mature on July 1, 2021. What is the intrinsic value of an LRQ Corporation bond on July 1, 2012 to an investor with a required return of 7%?

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Business

Reginald Potter

16 October, 13:10

LRQ Inc. issued bonds on July 1, 2006. The bonds had a coupon rate of 5.5%, with interest paid semiannually. The face value of the bonds is $1,000 and the bonds mature on July 1, 2021. What is the intrinsic value of an LRQ Corporation bond on July 1, 2012 to an investor with a required return of 7%?

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Graham Duke · Answer 1

The face value of the bond is 1,000 and its coupon rate of 5.5% with semi annual payments, which means that 2 payments are made each year. In order to find the amount of each payment we calculate the 5.5% of 1,000 and divide it by 2

1000*0.055/2 = 27.5 is Payment

The bond is to be valued at 2012 and has a maturity till 2021 so the number of years to maturity is 9 years which means that the total number of payments are 18 (9*2). The required rate of return is 7%and we will divide it by 2 as payments are semiannual, so we can assume the ytm of the bond is 3.5%. Now as we know the payment, face value, ytm and number of periods we can put this information in a financial calculator and find the price or present value or intrinsic value of the bond.

FV = 1,000

PMT = 27.5

N = 18

I = 3.5

Compute PV = 901.07

The price or present value or intrinsic value of the bond is $901.07