Question

Park Corporation is planning to issue bonds with a face value of $710,000 and a coupon rate of 7.5 percent. The bonds mature in 8 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Park uses the effective-interest amortization method and also uses a discount account. Assume an annual market rate of interest of 8.5 percent. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.)
Required 1. Prepare the journal entry to record the issuance of the bonds. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)

Answer 1

Answer:

Journal Entry

Issuance of bond

Dr. Cash                       $$669,387

Dr. Discount on Bond $40,613

Cr. Bond Payable        $710,000

Explanation:

Price of the bond is the present value of all cash flows associated with bond.

Use following formula to calculate the issuance price f the bond

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

As per given data

Face Value = $710,000

Coupon payment = $710,000 x 7.5% x 6/12 = $26,625 semiannually

Number of periods = n = 8 years x 2 period per year = 16 period s

Market interest rate = 8.5% annually = 8.5% / 2  = 4.25% semiannually

PLacing values in the formula

Price of the Bond = $26,625 x [ ( 1 - ( 1 + 4.25% )^-16 ) / 4.25% ] + [ $710,000 / ( 1 + 4.25% )^16 ]

Price of the Bond = $304,598.24 + $364,788.66 = $669,386.90 = $669,387

Discount on the bond = $710,000- $669,387 = $40,613