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Zolol [24]
3 years ago
6

Allyson Gomez invests $8,000 today in an investment that earns 6 percent per year (compounded annually) for 25 years. The averag

e inflation rate is expected to be 1.8 percent per year. She will have much more than $8,000 in 25 years BUT what would this future amount be if expressed in today’s dollars? a. $34,335 b. $21,981 c. $52,306 d. $12,496 e. $21,839
Business
1 answer:
REY [17]3 years ago
5 0

Answer:

B

Explanation:

The first thing to do here is to calculate what the amount of money invested would be in 25 years given the interest rate.

Mathematically, that can be written as;

V = P(1 + r)^n

Where V is the future value

P is the present value which is $8,000

r is interest rate which is 6% (6/100 = 0.06)

n is the number of years which is 25 years

Now plugging these values into the equation, we have

V = 8,000(1 + 0.06)^25

V = 8,000(1.06)^25

V = $34,334.97 which is approximately $34,335

We can now proceed to get what this future value would be today if we take the inflation rate into consideration

Mathematically, this can work as follows

P = V(1 + i)^n

Where P is the present value of the money when the inflation is taken into consideration

V is the future value of the money which was calculated from above as $34,335

i is the inflation rate which is 1.8% per annum = (1.8/100 = 0.018)

n is the number of years which is 25

Substituting these values, we have;

P = 34,335/(1 + 0.018)^25

P = 34,335/(1.018)^25

P = 21,980.75

Which is approximately P = $21,981

You might be interested in
Babcock Company purchased a piece of machinery for $36,000 on January 1, 2019, and has been depreciating the machine using the s
pogonyaev

Answer:

<u>Requirement 1:</u>

Dr Accumulated Depreciation $9,600

Cr Retained Earnings  Account      $9,600

<u>Requirement 2:</u>

Dr Depreciation Expense $6,000

Cr Accumulated Depreciation $6,000

Explanation:

Year  Remaining Life of machine  Depreciation fraction

1                               5                                           5/15

2                              4                                           4/15

3                              3                                           3/15

4                              2                                           2/15

5                          <u>    1     </u>                                       1/15

Total                       15  

Now here, the depreciation formula is as under:

Depreciation expense = (Cost - Salvage Value) * Fraction value

<u>Year 2019:</u>

The sum of years digit fraction would be 5/15 and the cost of the machinery is $36,000. So

Depreciation Expense = ($36,000 - 0) * 5/15  = $12,000

<u>Year 2020:</u>

The sum of years digit fraction would be 5/15 and the cost of the machinery is $36,000. So

Depreciation Expense = ($36,000 - 0) * 4/15  = $9,600

<u>Year 2021:</u>

Now in this year the there is change in estimate and a switch in the use of the depreciation method, which is now straight line method. The change in estimate only includes the useful life of the asset which is 6 years from the date of purchase.

So for straight-line depreciation:

Depreciation Expense = (Cost - Salvage Value)  / Useful Life

By simply putting values, we have:

Depreciation Expense = $36,000 / 6 years = $6,000 per year

So this means, according to change in accounting policy, the excess depreciation charged must be eliminated from the previous years. The depreciation charge for the previous 2 years must be $12,000 and the excess depreciation charge is calculated as under:

Carrying value of the asset = $21,600 - $12,000  = $9,600

<u>Requirement 1:</u>

The double entry according to the US GAAP, for the excess depreciation charge in the previous years would be the waiving off of retained earnings with the excess depreciation amount calculated above.

Dr Accumulated Depreciation $9,600

Cr Retained Earnings  Account      $9,600

<u></u>

<u>Requirement 2:</u>

The depreciation expense for the year 2021, would be recorded as under:

Dr Depreciation Expense $6,000

Cr Accumulated Depreciation $6,000

3 0
3 years ago
Lin Corporation has a single product whose selling price is $134 per unit and whose variable expense is $67 per unit. The compan
podryga [215]

Answer:

1. 600 units

2. $81,800

Explanation:

In this question we use the formula of break-even point in unit sales which is shown below:

= (Fixed expenses + target profit) ÷ (Contribution margin per unit)

where,  

Contribution margin per unit = Selling price per unit - Variable expense per unit

= $134 - $67

= $67

And, the other items values would remain the same

Now put these values to the above formula  

So, the value would equal to

= ($32,300 + $7,900) ÷ ($67)

= ($402,00) ÷ ($67)

= 600 units  

2. Break even point = (Fixed expenses + desired profit) ÷ (Profit volume Ratio)  

And, Profit volume ratio = (Contribution margin per unit) ÷ (selling price per unit) × 100

So, the Profit volume ratio = ($67) ÷ ($134) × 100 = 50%

The other values would remain same

Now put these values to the above formula  

So, the value would equal to  

= ($32,300 + $8,600) ÷ (50%)  

= $81,800

8 0
3 years ago
suppose you invest $2250 in a CD that earns 3% APR and is compound quarterly. the cd matures in 2 years. how much will this cd b
Oksi-84 [34.3K]

Pn = P0(1+r)∧n

Pnis future value of P0

P0 is original amount invested

r is the rate of interest

n is the number of compounding periods (years, months, etc.)

P(n) = 2250(1+(.03/4)∧8

** since the interest is compounding quarterly, you need to divide the rate by 4, the number of quarters in a year.

Then you would do the math.

8 0
3 years ago
What is insider trading?
siniylev [52]
<span>the illegal practice of trading on the stock exchange to one's own advantage through having access to confidential information.
</span>
5 0
3 years ago
An individual who thinks technology’s role in the workplace is always good is sometimes called a(n)​
WINSTONCH [101]

Answer: utopian

Explanation:

An utopian is an individual who thinks technology’s role in the workplace is always good. An utopian simply wants everything to be perfect and believes that technology plays a vital role in the organization.

The utopian believes that technology can help speed up efficiency at workplace and increase output.

6 0
3 years ago
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