LRQ Inc. issued bonds on April 18, 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 April 18, 2036. What is the intrinsic value of an LRQ Corporation bond today (April 18, 2020) to an investor with a required return of 7%?

$857

Explanation:

Price of the bond is the present value of all cash flows of the bond. These cash flows include the coupon payment and the maturity payment of the bond. Both of these cash flows discounted and added to calculate the value of the bond.

According to given data

Face value of the bond is $1,000

Coupon payment = C = $1,000 x 5.5% = $55 annually = $27.5 semiannually

Number of periods = n = (April 18, 2036 - April 18, 2020) years x 2 = 16 x 2 period = 32 periods

Market Rate = 7% annually = 3.5% semiannually

Price of the bond is calculated by following formula:

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond = 27.5 x [ ( 1 - ( 1 + 3.5% )^-32 ) / 3.5% ] + [ $1,000 / ( 1 + 3.5% )^32 ]

Price of the Bond = $524.29 + $332.59 = $856.98 = $857

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