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fomenos
3 years ago
7

Hill Corporation issued $2,100,000 of 8% bonds at 98 on January 2, 2019. Interest is paid semiannually on June 30 and December 3

1. The bonds had a 10-year life from the date of issue, and the company uses the straight-line method of amortization. On March 31, 2022, Hill recalls the bonds at the call price of 107 plus accrued interest.
Required:
Prepare the journal entries to record the reacquisition (recall) of Hill's bonds.
Business
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

Hill Corporation

Journal Entries

March 31, 2022:

Debit Bond Liability $2,247,000

Debit Interest Payable $42,000

Credit Cash $2,289,000

To record the recall of the bonds, including accrued interest.

Explanation:

a) Data and Calculations:

January 2, 2019: Face value of bonds issued = $2,100,000

Proceeds from the issue of the bonds at 98 =    2,058,000

Discount from the issue =                                        $42,000

Semi-annual amortization under straight-line = $2,100 ($42,000/20)

Coupon interest rate = 8% with payment made semiannually

Annual interest payment = $168,000 ($2,100,000 * 8%)

Semiannual interest payment = $84,000 ($2,100,000 * 4%)

Bonds duration = 10 years

March 31, 2022 Recall price of 107 = $2,247,000

Accrued interest from January 1 to March 31 = $42,000

Total payment to bondholders = $2,289,000

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Answer:

Min number required = 36742.44878 rounded off to 36743 bonds

Explanation:

To calculate the minimum number of bonds that must be sold, we first need to calculate the bonds price.

To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) = 1,000 * 0.062 * 6/12  = $31

Total periods (n) = 20 * 2 = 40

r or YTM = 0.0775 * 6/12 = 0.03875 or 3.875%

The formula to calculate the price of the bonds today is attached.

Bond Price = 31 * [( 1 - (1+0.03875)^-40) / 0.03875]  + 1000 / (1+0.03875)^40

Bond Price = $843.7107767 rounded off to $843.71

The bonds will sell at a price of $843.71 today.

So the minimum number of bonds that must be sold is,

Min number required = 31,000,000 / 843.7107767

Min number required = 36742.44878 rounded off to 36743 bonds

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