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ahrayia [7]
3 years ago
11

Find the convexity of a seven-year maturity, 6% coupon bond selling at a yield to maturity of 8%. The bond pays its coupons annu

ally. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Business
1 answer:
Julli [10]3 years ago
6 0

Answer:

convexity = 37.6306

Explanation:

given data:

maturity time = 7 years

yield to maturity (y) = 8% = 0.08

coupon bond = 6%

price= $89.59 ( gotten from the summation of pv(cf) from the table attached below )

t = time

convexity can be found using this formula

= \frac{1}{p(1+y)^2}  *  summation of (t +t^2) * pv(cf)

= \frac{1}{89.59*(1.08)^2} * 3932.310   = 37.6306

You might be interested in
"Zurich Company reports pretax financial income of $70,000 for 2014. The following items cause taxable income to be different th
Ivan

Answer:

Explanation:

Income tax expense: The expense account that reveals the amount of pre-determined tax paid on income for a required period of time is known as income tax expense account. The following formula can be used to determine the income tax expense:

Income tax expense = (Income before tax\times Income tax rate

Income statement: This is the financial statement of a company which reports all the revenues that are earned and expenses that are to be expended by the company on the immediate accounting year. Income statement is also known profit and loss statement.

Rules for debit and credit:

  • When asset increases, debit it and when asset decreases, credit it.

  • When liabilities increase, credit it and when liabilities decrease, debit it.

  • When stockholders’ equity increases, credit it and when stockholders’ equity decreases, debit it.

  • When the expenses and losses increase, debit them and when the expenses and losses decrease, credit it.

  • When incomes and gains increase, credit them and when incomes and gains decrease debit them.

Earnings before tax: It is the revenue of a company before adjustment of tax. It consists of all operating expenses. It is the earning retained by the company.

1.) To calculate the taxable income and income tax payable:

    Particulars                              Current year      Deferred asset     Deferred liability

Financial income                            $70,000

Excess tax collected                      $16,000                                           $16,000

Excess rent collected                    $22,000              -$22,000

Fines (permanent)                          $11,000

Taxable income(IRS)                     $87,000              -$22,000            $16,000

Tax rate                                           30%                      30%                     30%

Income tax                                     $26,100               -$6,600              $4,800

Therefore, the taxable income is $87,000, and the income tax is $26,100 for current year.        

The taxable income is calculated by adding the income earned, which are eligible for taxation. The financial income is $70,000, the excess tax depreciation is $16,000 (which should be deducted), and the excess rent collected is $22,000. The fines are $11,000. It is taxable as it is permanent. Thus, the taxable income is $87,000. The tax rate is 30 percent. The taxable income should be multiplied with the tax rate. Thus, the taxable income is $26,100. It is income tax payable.

2.) To Prepare a journal entry to record income tax expense, deferred income taxes, and income tax payable for 2014.

Date      Account titles and ex[planations      Debit           Credit

2014      Income tax expense                          $24,300

             Deferred tax asset                             $6,600

             Deferred tax liability                                                  $4,800

             Income tax payable                                                  $26,100

Therefore, income tax expense is debited with $24,300, deferred tax asset is debited with $6,600, deferred tax liability is credited with $4,800, and the income tax payable is credited with $26,100.

It is given that the income tax expense, deferred income taxes, and income taxes payable should be recorded. The income tax expense is $24,300, deferred tax asset is $6,600, deferred liability is $4,800, and the income tax payable is $26,100. The income tax payable is calculated by adding the income tax expense to the deferred tax asset and deducting the obtained value from the liability. Thus, $24,300 is added to $6,600 and deducted by $4,800 and $26,100. Therefore, the income tax expense is debited with $24,300, deferred tax asset is debited with $6,600, deferred tax liability is credited with $4,800, and the income tax payable is credited with $26,100.

3.) To Prepare the income tax expense section of the income statement for 2014.

                                      Income Statement

Particulars                                             Amount       Amount

Income before taxes                                                 $70,000

Income tax expenses current             $26,100

Income tax expenses deferred          -$1,800         $24,300

Net income(loss)                                                       $45,700

It is given that the income before taxes is $70,000, income tax expense of current year is $26,100, and for the deferred year is $1,800. The net income tax expense is $24,300. The net income is calculated by deducting the income before taxes from the income tax expenses. Thus, $24,300 is deducted from $70,000. Therefore, the net income is $45,700.

6 0
3 years ago
GRZ Inc. purchased a customized delivery truck in January 2018 for $70,000. They plan to use this truck for 7 years, and the com
asambeis [7]

Answer:

The correct answer is A) $2.800

Explanation:

Using the straight-line method to depreciate, the calculation to find the depreciation tax shield is the following:

  1. Finding the depreciable cost: Depreciable cost = purchase price ($70,000) - salvage value ($14,000) = $56,000
  2. Finding the depreciation per year: Depreciation/year = \frac{Depreciable cost (56,000)}{Asset useful life (7 years)} = $8000
  3. Finally, the depreciation tax shield for 2018: Depreciation tax shield = Dep/year ($8,000) * tax rate (0,35) = $2,800
7 0
3 years ago
Bette and Jamal are partners at a management consulting firm.
kodGreya [7K]

Answer:

Jamal

Explanation:

Given that

Number of required slides = 50 slides

Creating slides Per hour = 15 slides

Bill amount per hour = $750

So by considering the above information, Bette's opportunity cost of creating slides would be

= Bill amount per hour ÷ creating slides per hour

= $750 ÷ 15 per hour

= $50

For making 50 slides, the opportunity cost would be

= $50 × 50 slides

= $2,500

And, Jamal opportunity cost is 30% lower, so it would be  

= $50 - $50 × 30%

= $50 - $15

= $35

And, the billing rate is 25% higher, so it would be

= $750 + $750 × 25%

= $750 + $187.50

= $937.50

So in one hour, it would be

= $937.50 ÷ 35 slides

= 26 slides

Based on the creating slides, the Jamal gains a competitive advantage over Bette

4 0
3 years ago
If something happens to alter the quantity supplied at any given price, then.
morpeh [17]

Change in quantity supply will lead to a shift in supply curve.

<h3>What is change in supply?</h3>

Change in supply lead to a shift in the supply curve either to the left or right.

This occur in the price to quantity relationship which defines a supply curve.

This change often makes the supply curve becomes steeper and flatter.

Therefore, Change in quantity supply will lead to a shift in supply curve either to right or left.

Learn more on supply curve here,

brainly.com/question/1456933

3 0
2 years ago
Winston Clinic is evaluating a project that costs $61,500 and has expected net cash inflows of $15,000 per year for eight years.
iragen [17]

Answer:

Payback Period = 4 Years

Net Present value = $15692

Internal Rate of Return = 17.82%

Modified Internal Rate of Return = 14.20%

Explanation:

Payback Period = (Initial Investment / Net Cash inflows)

Payback Period = $61500/15000 = 4 Years

Net Present value using PVIF table value at 11% over the period and discount them given cash flows gives us discounted cash flows.

Year  CF       PVIF 11%,n   Discounted CF

0 -61500  1.000   (61,500)

1 15000  0.901   13,514  

2 15000  0.812   12,174  

3 15000  0.731   10,968  

4 15000  0.659   9,881  

5 15000  0.593   8,902  

6 15000  0.535   8,020  

7 15000  0.482   7,225  

8 15000  0.434   6,509  

Summing up the discounted Cash flows gives us the Net Present value of $15692

Internal Rate of Return:

Using Excel Function IRR @ 17.82% applying it on cash flows gives the rate where Present value of Cash flows is Zero.

Modified Internal Rate of Return:

Modified internal rate of return is at the level of 14.20% as it lower than IRR because it assume positive cash flows invested at cost of capital.  

4 0
3 years ago
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