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Ganezh [65]
4 years ago
6

The present value of a lump sum future amount:__________

Business
1 answer:
SVEN [57.7K]4 years ago
6 0

Answer:

  • <u><em>d) increases as the interest rate decreases.</em></u>

Explanation:

<em>Present value</em> is the value today; future value is the value some time in the future.

The mere notion of the value of money in time should tell you that, further away in time (towards the future) a sum of money is found, the lower its value today.

Then, you should be able to rule out some propositions that are contrary to that intuition:

  • a<em>) decreases as the time period decreases</em> ↔ clearly false: the present value increases as the time period decreases
  • <em>e) is directly related to the time period</em>. ↔ clearly false: the present value is inversely related to the time period.

How is the present value related to the future value?

They are directly related: the higher a lump sum in the future the higher the value of it in the present; more money is more money always. More money in the future has more value in the present; less money in the future has less value in the present. Thus,  the option <em>b). is inversely related to the future value</em> is false

How is the present value related to the interest rate?. Which one is true?

  • c) is directly related to the interest rate, or
  • d) increases as the interest rate decreases

The present value is calculated discounted the future value at the interest rate. The interest rate is in the denominator of the equation to pass from future value to present value. Thus, they are inversely related (c is false); the less the interest rate, the higher the present value of a future amount (confirm d is true).

Therefore, the correct answer is that <em>the present of a lump sum future amount: </em><em><u>d) increases as the interest rate decreases.</u></em>

<u />

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ohaa [14]

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  • Friction
  • misunderstandings
  • frustrations
  • damage to the self-esteem of the kids and stifle healthy mental development of the kids

See the link below for more:
brainly.com/question/5345351

8 0
2 years ago
In the following summary of data for a payroll period, some amounts have been intentionally omitted:
notsponge [240]

Answer:

A. Calculation of the amounts omitted in lines (1), (3), (8), and (12):

1. At regular rate

= $365,500

3. Total earnings

= $430,000

8. Union dues

= $2,250

12. Sales Salaries

= $116,100

B. Journal to record the payroll accrual:

Debit:

11. Factory Wages $227,900

12. Sales Salaries    $116,100

13. Office Salaries  $86,000

Credit Payables:

4. Social security tax         $25,800

5. Medicare tax                   $6,450

6. Income tax withheld    $109,700

7. Medical insurance         $14,800

8. Union dues                     $2,250

10. Salaries Payable        $271,000

To record the payroll accrual.

C. Journal Entry to record the payment of the payroll:

Debit Payables:

4. Social security tax         $25,800

5. Medicare tax                   $6,450

6. Income tax withheld    $109,700

7. Medical insurance         $14,800

8. Union dues                     $2,250

10. Salaries Payable        $271,000

Credit Cash Account                          $430,000

To record the payment of the payroll.

Explanation:

a) Data and Calculation of the amounts omitted in lines (1), (3), (8), and (12):

Earnings:

1. At regular rate                      $365,500

2. At overtime rate                       64,500

3. Total earnings                        430,000

Deductions:

4. Social security tax      25,800

5. Medicare tax                6,450

6. Income tax withheld 109,700

7. Medical insurance     14,800

8. Union dues                 2,250

9. Total deductions                  159,000

10. Net amount paid                271,000

Accounts debited:

11. Factory Wages 227,900

12. Sales Salaries    116,100

13. Office Salaries  86,000

1. At regular rate = 3. Total earnings - 2. At overtime rate

= $430,000 - 64,500

= $365,500

3. Total earnings = 9. Total deductions + 10. Net amount paid

= $159,000  +  271,000

= $430,000

8. Union dues = 9. Total deductions - other deductions from 4 to 7.

= $159,000 - (25,800 + 6,450 + 109,700 + 14,800)

= $2,250

12. Sales Salaries = 3. Total earnings - 11. Factory Wages - 13. Office Salaries)

= (430,000 - 227,900  -  86,000)

= $116,100

8 0
3 years ago
Earnhardt Driving School's 2008 balance sheet showed net fixed assets of $4 million, and the 2009 balance sheet showed net fixed
harkovskaia [24]

Answer:

Net capital spending = $2,985,000

Explanation:

There are two financial years in consideration

They are 2008 and 2009

Closing values of 2008 = Opening values of 2009

Now, closing value of net assets at 2008 = $4 million

Closing value of net assets for 2009 = $6.2 million

Net capital spending = Gross fixed assets at year end - Opening fixed assets

Gross fixed assets = Net Value + Depreciation

= $6.2 million + $785,000

= $6,985,000

Thus, Net capital spending in 2009 = $6,985,000 - $4,000,000

= $2,985,000

4 0
4 years ago
A job can be done with Machine A that costs $12,500 and has annual end-of-year maintenance costs of $5000; its salvage value aft
sdas [7]

Answer and Explanation :

As per the data given in the question,

Present value = Amount ÷ (1 + r)^n

Machine A

Year           Amount        Discount Factor      PV

1                  $5,000           1.05                  $4,761.90

2                $5,000                                     $4,535.15

3               $5,000                                      $4,319.19

Total                                                          $13,616.24

Now

Present value of salvage value =$2,000 ÷ 1.05^3 = $1,727.68

Present worth of Machine A is

= -$12,500 - $13,616.24 + $1,727.68

= -$24,388.56

Similarly Present worth of Machine B = -$15,000 - $4,000 ÷ 1.05 -$4,000 ÷ (1.05)^2 - $4,000 ÷ 1.05^3 - $4,000 ÷ 1.05^4 + $1,500 ÷ 1.05^4

=-$24,658.94

Based on the comparison between Machine A and Machine B

Machine A is better because it has higher present worth

Annual worth:

For machine A = -$12,500(A/PA,5%,3) -$5,000+$2,000(A/F,5%,3)

=-$12,500 × 0.367 - $5,000 + $2,000 × 0.317

= -$8,953.5

For Machine B:

=  -$15,000(A/P,5%,4) - $4,000 + $1,500(A/F,5%,4)

= -$7,882.16

Based on the comparison between Machine A and Machine B

Machine B is better because it has higher annual worth

Capitalized cost:

Machine A :

= -$12,500+$2,000(P/F,5%,3) - $5,000 ÷ 0.05

=  -$12,500 + $2,000 × 0.86 - $5,000 ÷ 0.05

= -$110,772

Machine B :

=-$15,000(P/F,5%,4) - $4000 ÷ 0.05

=-$15,000 × 0.82 - $4,000 ÷ 0.05

= -$93,765.9

Based on the comparison between Machine A and Machine B

Machine B is better because it has lower capitalized cost

3 0
3 years ago
The computation of the alternative minimum tax base begins with regular taxable income. Which of the following is not part of th
klemol [59]

Answer:

A. Subtract state income taxes paid.

7 0
4 years ago
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