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Gnoma [55]
3 years ago
6

On January 1, 2019, East Lansing, Inc., issues $2,000,000 of 10 percent, 5-year bonds that pay interest of $100,000 semiannually

. The market rate is 8 percent at the time of issuance. The present value of 1 at 4% for 10 periods is 0.6756. The present value of an annuity at 4% for 10 periods is 8.1109. The issue price of the bonds is _____.
Business
1 answer:
Rina8888 [55]3 years ago
4 0

Answer:

The issue price of the bond is the present value of  the future cash flows of the bond,which is $2,162,217.92.  

The calculation of the issue price is shown below.

Explanation

The bond will pay interest of $100000 for 10 periods plus $2000000 par at the end of the tenth period.

The formula applicable is: Future value of each period multiplied by applicable discounting factor.

Even though the bond is issued for only 5 years,but the fact that it pays interest semi-annually makes it 10 period duration(5years*2).

Interest rate should also be adjusted to show the time horizon of six month each by dividing 8% per year by 2.

The detailed computation of present value is as follows:

 Periods   Coupon Interest @10%/2   DCF=1/(1+r)^n   PV  

1.00                 100,000.00                     0.9615            96,153.85  

2.00                  100,000.00                       0.9246     92,455.62  

3.00                  100,000.00                        0.8890      88,899.64  

4.00                   100,000.00                          0.8548      85,480.42  

5.00                    100,000.00                            0.8219      82,192.71  

6.00                    100,000.00                            0.7903     79,031.45  

7.00                    100,000.00                             0.7599    75,991.78  

8.00                    100,000.00                             0.7307    73,069.02  

9.00                    100,000.00                             0.7026     70,258.67  

10.00                    2,100,000.00                     0.6756   <u>1,418,684.75</u>  

                                                                           <u> 2,162,217.92</u>  

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<u>Blueboy Cheese Corporation </u>

<u>Income Statement</u>

<u>December 31, 2021</u>

<u>Account Title                                  Debits                      Credits </u>

Sales revenue                                                                     680,000

Less Cost of goods sold               408,000

Gross Profit                                                                          272,000

less

Salaries expense                       108,800

Rent expense                           18,000

Depreciation expense             53,000

Interest expense                        3,900

Advertising expense                  3,600

<u>Un adjusted Profit                                                              84,700</u>

<u> </u><u>Adjusted Profit                                                                  82,900     </u>                            

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<u>Balance  Sheet</u>

<u>December 31, 2021</u>

<u>Account Title                                  Debits                      Credits </u>

Cash                                               51,900

Accounts receivable                    290,000                                

Inventory                                      43,000

Office equipment                         308,000

                                       

Accounts payable                                                             56,000

Notes payable (due in six months)                                    39,000

Common stock                                                                    400,000

Retained earnings                115,000 + 82,900=              197,900

<u>                                                                                                               </u>

<u>Total                                            $ 692,900                         692,900</u>

<u />

Closing Entries

Dec 31            Sales Revenue             $680,000 Dr

                             Income Summary                    $680,000 Cr

The first closing entry transfers credit balances in revenue ( and gain ) accounts to the income summary accounts.

Dec 31          Income Summary          $ 187,300 Dr

                               Salaries expense                       108,800 Cr

                                Rent expense                           18,000 Cr

                                 Depreciation expense             53,000 Cr

                                     Interest expense                        3,900 Cr

                                       Advertising expense                  3,600 Cr

The second closing entry transfers debit balances in expense ( and loss) to the income summary accounts.

Dec 31                    Income Summary            $ 82,900

                                    Retained Earnings Accounts            $ 82,900

The third entry transfers the balance of income summary account to the owner's capital account or retained earnings account.

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