In: Accounting
The following information is used to answer:
Bonds: $1,000,000 Par Value
Semiannual Interest Payments,
Three-Year Life
Annual Contract Rate: 6%
Annual Market Rate: 8%
What is the price of the bond?
A. 963,544.12
B. 952,877.65
C. 947,578.63
D. 925,587.96
What is the amount of the bond discount?
A. 52,421.37
B. 50,865.35
C. 47,822.45
D. 45,647.24
Softbyte Inc.
Balance Sheet
December 31, 2017
Assets
Cash $500,000
Accounts Receivable 700,000
Inventory 300,000
Property, Plant & Equipment 900,000
Accumulated Depreciation (100,000) 800,000
Total Assets $2,300,000
Liabilities & Equity
Accounts Payable $300,000
Notes Payable 1,000,000
Common Stock 500,000
Retained Earnings 500,000
Total Liabilities & Equity $2,300,000
Instructions:
Open the balances in the ledger accounts.
Post the journal entries to the general ledger.
Prepare an income statement, statement of retained earnings, balance sheet, and statement of cash flows-indirect method.
Journal Entries for January 2013
Transaction 1: Services Provided for Cash
Description: Receives $155,000 cash from customers for programming services it has provided.
Journal Entry: Dr. Cr.
Cash 155,000
Sales 155,000
Transaction 2: Receipt of Cash on Account
Description: Receives $28,000 in cash from customers who had been billed for services.
Journal Entry: Dr. Cr.
Cash 28,000
Accounts
Receivable
28,000
Transaction 3: Cost Flow Assumption: LIFO
Description: Recorded $45,000 in cost of goods sold under the LIFO cost flow assumption.
Journal Entry: Dr. Cr.
Cost of Goods Sold 45,000
Inventory 45,000
Transaction 4: Recording Depreciation Expense
Description: Recorded depreciation expense under the straight-line method.
Journal Entry: Dr. Cr.
Depreciation Expense 9,000
Accumulated Depreciation 9,000
Transaction 5: Sale of Plant Asset
Description: Sale of plant asset for cash. The cash received was equal to the book value.
Journal Entry: Dr. Cr.
Cash 3,000
Accumulated Depreciation 16,000
Equipment 19,000
Transaction 6: Gain on Sale of Plant Asset
Description: Sale of plant asset for cash. The cash received was $2,000 more than the book value resulting in a gain.
Journal Entry: Dr. Cr.
Cash 5,000
Accumulated Depreciation 16,000
Gain 2,000
Equipment 19,000
Transaction 7: Loss on Sale of Plant Asset
Description: Sale of plant asset for cash. The cash received was $500 less than the book value resulting in a loss.
Journal Entry: Dr. Cr.
Cash 2,500
Loss 500
Accumulated Depreciation 13,000
Equipment 16,000
Transaction 8: Note Given to Borrow from Bank
Description: Borrowed $2,000 cash with a 60-day, 12%, $2,000 note.
Journal Entry: Dr. Cr.
Cash 2,000
Notes Payable 2,000
Transaction 9: Payment of Note
Description: Paid the principal and interest on the note in Transaction 8.
Journal Entry: Dr. Cr.
Notes Payable 2,000
Interest Expense 40
Cash 2,040
Transaction 10: Bond Issue
Description: Issued a $100,000 Par Value Bond at a Discount
Journal Entry: Dr. Cr.
Cash 96,454
Bonds Payable 96,454
Transaction 11: Effective Interest Amortization
Description: Recorded bond interest expense under the effective interest method.
Journal Entry: Dr. Cr.
Bond Interest Expense 4,823
Bonds Payable 823
Cash 4,000
Transaction 12: Issuing Par Value Stock at a Premium
Description: Issued common stock and received cash of $50,000 in excess of par value.
Journal Entry: Dr. Cr.
Cash 350,000
Common Stock , $10 Par Value 300,000
Paid-in Capital in Excess of Par Value, Common Stock 50,000
Transaction 13: Dividend
Description: The corporation pays a dividend of $3,800 in cash to the stockholders of Softbyte.
Journal Entry: Dr. Cr.
Dividends 3,800
Cash 3,800
The price of the bond is the present value of the interest and principal amount discounted at market rate.
The interest payments are semi-annual.So, the contract rate shall be 6/2=3% per half year and semi-annual interest payments will be $1,000,000*3%=$30,000.
The life is 3 years, hence, the period shall be taken as 3*2=6 [this is because the payments are made semi-annually]
and the discounting rate,that is, the market rate shall be 8/2=4% per half year.
Now, lets calculate value of the bond:
Particulars | calculation | calculation | Amount $ |
Interest | 30000*PVAF(4%,6) | 30000*5.24214 | 157264 |
principal | 1000000*PVF(4%,6) | 1000000*.7903 | 790314.5 |
Total | 947578.63 |
You can get the PVAF (present value annuity factor) and PVF (present value factor) from the respective tables, or also on a calculator.These have been rounded off in the above answer.
Hence, price of the bond is option C.947578.63
The bond discount is =Par value of bond-price of bond
=1000000-947578.63=52421.37 i.e option A.