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Charra [1.4K]
2 years ago
15

Dave invests in a bond that yields 3. 50% annual effective for 10 years. The bond pays coupons at a rate of 3. 50%, payable semi

-annually. It has a redemption value of $75. Mike invests in a 5 year bond. The bond pays coupons at a rate of 14. 00%, payable quarterly. It has a redemption value of $150. Mike paid twice the price for his bond compared to what Dave paid. Both bonds have a face amount of $100. Calculate the annual effective yield for Mike's bond
Business
1 answer:
Inga [223]2 years ago
5 0

The annual effective yield for Mike's bond is <u>3.20%</u>, which is less than Dave's 3.50%.

<h3>What is the annual effective yield of a bond?</h3>

The annual effective yield is the total return expected from a bond if the bond is held till maturity.

The annual effective yield rate is the rate at which all future expected cash flows are discounted to find out the current value or the price of the bond.

We can use the following Yield to Maturity formula to calculate the annual effective yield rate.

Yield to Maturity = [Annual Interest + {(FV-Price)/Maturity}] / [(FV+Price)/2]

<h3>Data and Calculations:</h3>

Mike's investment:

Quarterly Interest = $3.50 ($100 x 14% x 1/4)

Annual interest = $14 ($100 x 14%)

FV = Face Value of the Bond = $100

Price = Current Market Price of the Bond at Redemption = $150

Maturity = Time to Maturity = 5 years

= {$14 + ($100 - $150)/5} / {($100 + $150)/2}

= $14 + -10 / 250/2

= 4/125

= 3.2%

Thus, the annual effective yield for Mike's bond is <u>3.20%</u>, which is less than Dave's 3.50%.

Learn more about the yield to maturity at brainly.com/question/26657407

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(440,000/110,000) × 115,000

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3 years ago
Sales and costs are projected to grow at 20% a year for at least the next 4 years. Both current assets and accounts payable are
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Question Completion:

The 2017 financial statements for Growth Industries are presented below  

INCOME STATEMENT, 2017  

Sales $ 380,000  

Costs 240,000  

EBIT $ 140,000  

Interest expense 28,000  

Taxable income $ 112,000  

Taxes (at 35%) 39,200

Net income $ 72,800  

Dividends 21,840

Addition to retained earnings 50,960  

BALANCE SHEET, YEAR -END, 2017  

Assets    

Current assets  

Cash      $ 7,000      

Accounts receivable 12,000

Inventories 31,000

Total current assets $ 50,000  

Net plant and equipment 320,000

Total assets $ 370,000

Liabilities

Current liabilities

Accounts payable $ 14,000

Total current liabilities $14,000

Long-term debt Stockholders' equity 280,000

Common stock plus additional paid-in capital 15,000

Retained earnings 61,000  

Total liabilities and stockholders' equity $ 370,000

Answer:

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The required external financing over the next year is:

= $16,600.

Explanation:

a) Data and Calculations:

Sales and costs projected growth rates = 20%

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Fixed assets growth rates = 20%

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INCOME STATEMENTs,               2017        Projected

Sales                                      $ 380,000   $456,000 ($380,000 * 1.2)

Costs                                        240,000      288,000 ($240,000 * 1.2)

EBIT                                        $ 140,000    $168,000

Interest expense                       28,000        28,000

Taxable income                     $ 112,000    $140,000

Taxes (at 35%)                          39,200        49,000

Net income                            $ 72,800      $91,000

Dividends                                   21,840       36,400

Addition to retained earnings 50,960    $54,600

Retained earnings, 2017  $61,000

Projected addition             54,600

Retained earnings,         $115,600

BALANCE SHEET, YEAR -END, 2017  

Assets                                                                2017   Projected

Current assets  

Cash                                                               $ 7,000      $8,400 ($7,000*1.2)

Accounts receivable                                       12,000       14,400 (12,000*1.2)

Inventories                                                      31,000      37,200 (31,000*1.2)

Total current assets                                   $ 50,000   $60,000

Net plant and equipment                           320,000    384,000 ($320,000*1.2)

Total assets                                             $ 370,000 $ 444,000

Liabilities

Current liabilities

Accounts payable                                     $ 14,000      $16,800 ($14,000*1.2)

Total current liabilities                               $14,000      $16,800

Long-term debt Stockholders' equity     280,000     280,000

Common stock plus

additional paid-in capital                           15,000        15,000

Retained earnings                                      61,000      115,600

Total liabilities

and stockholders' equity                    $ 370,000  $427,400

External Financing Required = Assets - Liabilities & equity

Assets =                    $444,000

Liabilities + Equity = $427,400

External financing      $16,600

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These costs are futher divided in two categories that is variable overhead cost and fixed overhead cost.

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Hope this helps :)

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