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MakcuM [25]
2 years ago
9

You are thinking of building a new machine that will save you $ 2 comma 000 in the first year. The machine will then begin to we

ar out so that the savings decline at a rate of 4 % per year forever. What is the present value of the savings if the interest rate is 7 % per​ year?
Business
1 answer:
Serga [27]2 years ago
4 0

Answer:

Present Value= $18,181.82

Explanation:

Giving the following information:

Savings= $2,000

The machine will then begin to wear out so that the savings decline at a rate of 4 % per year forever.

Interest rate= 7%

To determine the present value of the savings, we need to use the perpetual annuity formula with the decline rate.

PV= Cf/ (i + g)

Cf= cash flow

PV= 2,000/ (0.07 + 0.04)

PV= $18,181.82

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Explanation:

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Discounted price = $68.00

Percentage change  in the book price = Initial Price - Discounted price/ Initial Price) x 100

($73.25 - $68.00) /$73.25 =5.25 /$73.25 =0.07167

=7.17%

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Problem 5.3 Your birthday is coming up and instead of other presents, your parents promised to give you $2,600 in cash. Since yo
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Answer:

Ans. The value of investment after 2 years is $3,155.51

Explanation:

Hi, first we need toconvert that 9.80 percent, compounded quarterly into an effective quarterly rate, that is just by dividing by 4, since there are 4 quarters in a year, that is:

r(effective quarterly)= 9.8%/4 =2.45%

Now, since the rate is effective quarterly, the periods (time of the invesmet) has to be in quarters, so we multiply 2 years by 4 and we get 8 quarters.

With all the above information, we can go ahead and use the following formula in order to find the future value of this investment.

FutureValue=PresentValue*(1+r)^{n}

It should all look like this.

FutureValue=2,600*(1+0.0245)^{8}=3,155.51

So, the future value of this investment is $3,155.51

Best of luck.

8 0
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A German toy company manufactures its products within U.S. borders. If the
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Answer:

a

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Mocha Company manufactures a single product by a continuous process, involving three production departments. The records indicat
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