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Anna35 [415]
3 years ago
13

Your grandfather made an investment of $4,000 the day you were born, as such starting to earn returns immediately. His assumptio

n is that by investing in the average market, the investment account will earn an annual rate of 6%, which is a historical average. He will continue to make 18 more annual $1,500 deposits into this account for you, assuming you will earn the average 6% every year. Based on the above assumptions, what will be the balance of this account after the initial investment and the 18 annual returns earning the hypothetical 6%?
Business
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

Acumulated value=57,775.84

Explanation:

this problem can be solved applying the concept of annuity, keep in mind that an annuity is a formula which allows you to calculate the future value of future payments affected by an interest rate.by definition the future value of an annuity is given by:

s_{n} =P*\frac{(1+i)^{n}-1 }{i}

where s_{n} is the future value of the annuity, i is the interest rate for every period payment, n is the number of payments, and P is the regular amount paid

But there is an special thing to keep in mind and is the initial payment so we must to calculate the 4,000 in the future so we have:

Acumulated value=s_{n} +P*(1+i)^{n}

Acumulated value=1,500*s_{18} +4,000*(1+0.06)^{18}

Acumulated value=57,775.84

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Assoli18 [71]

Answer:

d. The decision maker must only stick to completely rational, mathematical analysis while selecting an alternative.

Explanation:

It is most ideal for a decision maker to stick to completely rational way of selecting an alternative as this means that the decision maker will only make choices that will be of maximum benefits and low costs. Factors such as personal feelings, or sense of obligation do not interefere when a decision maker sticks to completely rational and mathematical analysis method of decision making.

7 0
3 years ago
The bookkeeper at Jefferson Company has not reconciled the bank statement with the Cash account, saying, "I don't have time." Yo
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The April ledger accounts for cash showed  is :

JEFFERSON COMPANY

Bank Reconciliation, April 30, Current Year

Company's Books Bank Statement

Ending balance per cash account   26100 Ending balance per bank statement   23690

Additions:     Additions:    

Interest collected 1320   Deposits in transit 7200  

         

   1320     7200

   27420     30890

Deductions:     Deductions:    

NSF—A. B. Wright 270   Outstanding checks 3800  

Bank charges 60        

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Correct cash balance   27090 Correct cash balance   27090

 2    

 General Journal Debit Credit

1 Cash 1320  

       Interest revenue   1320

     

2 Accounts Receivable—A. B. Wright 270  

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         Cash   60

     

 3    

 Cash balance  27090  

     

 4    

 Total amount of cash  27090  

Deposits in transit = 43300-36100 = 7200

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2 years ago
Read 2 more answers
Perit Industries has $135,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternat
Juli2301 [7.4K]

Answer:

1. Net present value of Project A = -41,449.96

2. Net present value of Project B = $143,746.85

3. I would recommend that company accept Project B.

Explanation:

Note: This question is not complete as the requirement are omitted. The requirements are therefore provided to complete the question before answering it as follows:

Perit Industries has $135,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are:

                                                                       Project A           Project B

Cost of equipment required                         $ 135,000                $ 0

Working capital investment required                 $ 0               $ 135,000

Annual cash inflows                                       $ 25,000           $ 63,000

Salvage value of equipment in six years        $ 9,800                $ 0

Life of the project 6 years 6 years

The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries’ discount rate is 17%.

Required:

1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

3. Which investment alternative (if either) would you recommend that the company accept?

The explanation of the answers is now provided as follows:

1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

Cost of equipment required = $135,000

Using the formula for calculating the present value of an ordinary annuity, the present value (PV) of the annual cash inflows can be calculated as follows:

PV of annual cash inflow = Annual cash inflow * (1 - (1 / (1 + discount rate))^Project life) / discount rate) = $25,000 * ((1 - (1 / (1 + 0.17))^6) / 0.17) = $89,729.62

The present value (PV) of the salvage value can be calculated as follows:

PV of salvage value = Salvage value / (1 + + discount rate)^Project life = $9,800 / (1 + 0.17)^6 = $3,820.42

Net present value of Project A = PV of annual cash inflow + PV of salvage value - Cost of equipment required = $89,729.62 + $3,820.42 - $135,000 = -41,449.96

2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)

Working capital investment required = $135,000

Using the formula for calculating the present value of an ordinary annuity, the present value (PV) of the annual cash inflows can be calculated as follows:

PV of annual cash inflow = Annual cash inflow * (1 - (1 / (1 + discount rate))^Project life) / discount rate) = $63,000 * ((1 - (1 / (1 + 0.17))^6) / 0.17) = $226,118.64

The present value (PV) of the Working capital investment required can be calculated as follows:

PV of Working capital investment required = Working capital investment required / (1 + + discount rate)^Project life = $135,000 / (1 + 0.17)^6 = $52,628.21

Net present value of Project B = PV of annual cash inflow + PV of Working capital investment required - Working capital investment required = = $226,118.64 + $52,628.21 - $135,000 = $143,746.85

3. Which investment alternative (if either) would you recommend that the company accept?

From parts 1 and 2 above, we have:

Net present value of Project A = -41,449.96

Net present value of Project B = $143,746.85

Since the Net present value of Project A is negative, it should be rejected.

Since the Net present value of Project B is positive, it should be accepted.

Therefore, I would recommend that company accept Project B.

6 0
3 years ago
Baker traded a building used in her business for some new land. Baker originally purchased the building for $50,000 and it had a
Fittoniya [83]

Answer:

The adjusted basis in the land after the exchange=-$10,000, meaning Baker realized a loss of $10,000 from the exchange

Explanation:

<em>Step 1: Determine the initial loss/gain in value of the building</em>

initial loss/gain=original purchase price-adjusted basis

where;

original purchase price=$50,000

adjusted basis=$30,000

replacing;

initial loss/gain=50,000-30,000=$20,000

initial loss in value=-$20,000

<em>Step 2: Determine the loss or gain from the exchange</em>

loss/gain=35,000-30,000=$15,000

gain=$15,000

Step 3: Determine other additional costs

Costs=loss=-$5,000

<em>Step 4: Determine the net gain/loss</em>

net gain/loss=-20,000+(15,000)+(-5,000)=-$10,000

The adjusted basis in the land after the exchange=-$10,000, meaning Baker realized a loss of $10,000 from the exchange

8 0
3 years ago
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