Stowers Research issues bonds dated January 1, 2011, that pay interest semiannua
ID: 2374823 • Letter: S
Question
Stowers Research issues bonds dated January 1, 2011, that pay interest semiannually on June 30 and December 31. The bonds have a $34,000 par value and an annual contract rate of 8%, and they mature in 10 years.
Determine the bonds' issue price on January 1, 2011. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answer to the nearest dollar amount. Omit the "$" sign in your response.)
Prepare the journal entry to record their issuance. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answers to the nearest dollar amount. Omit the "$" sign in your response.)
Determine the bonds' issue price on January 1, 2011. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answer to the nearest dollar amount. Omit the "$" sign in your response.)
Prepare the journal entry to record their issuance. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answers to the nearest dollar amount. Omit the "$" sign in your response.)
Determine the bonds' issue price on January 1, 2011. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answer to the nearest dollar amount. Omit the "$" sign in your response.)
Prepare the journal entry to record their issuance. (Round "PV Factors" to 4 decimal places, intermediate calculations and final answers to the nearest dollar amount. Omit the "$" sign in your response.)
Stowers Research issues bonds dated January 1, 2011, that pay interest semiannually on June 30 and December 31. The bonds have a $34,000 par value and an annual contract rate of 8%, and they mature in 10 years.
Explanation / Answer
The following symbols are used to designate present value factor:
(pv1, i, n) = present value of $1 discounted at i%, n periods from present
(pva, i, n) = present value of an annuity of $1 discounted at i%, for n periods
The bonds are for 10 years, but interest is payable semi-annually, so there are 20 interest periods.
1. Market rate at the date of issuance is 10%.
(a) bonds%u2019 issue price on January 1, 2011
The formula is $37,000 (pv1, 5%, 20) + 6%($37,000 )(pva, 5%, 20)
= $37,000 (0.37689) + 6%($37,000 )(12.46221)
= $13,944.93 + $27,666.11
= $41,611.04
(b) journal entry to record their issuance
Dr Cash $41,611.04
Cr Bond premium $4,611.04
Cr Bonds payable $37,000.00
2. Market rate at the date of issuance is 12%.
(a) bonds%u2019 issue price on January 1, 2011
Since the market rate is the coupon rate, the bonds will be issuedat face value, $37,000.
(b) journal entry to record their issuance
Dr Cash $37,000
Cr Bonds payable $37,000
3. Market rate at the date of issuance is 14%.
(a) bonds%u2019 issue price on January 1, 2011
The formula is $37,000 (pv1, 7%, 20) + 6%($37,000 )(pva, 7%, 20)
= $37,000 (0.25842) + 6%($37,000 )(10.59401)
= $9,561.54 + $23,518.70
= $33,080.24
(b) journal entry to record their issuance
Dr Cash $33,080.24
Dr Bond discount $3,919.76
Cr Bonds payable $37,000.00
Note: Answers may differ depending on the no. of decimal points used. Pls refer to the PV tables given at the links.
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