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Sav [38]
3 years ago
9

You are thinking of building a new machine that will sve you 2,000 in the first year the machine will then begin to wear 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 5% per year? (Hint: this is a growing perpetuity.)

Business
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

The present value of the savings is $22222.22

Explanation:

A perpetuity is an indefinite series of equal payments made after equal intervals of time and for an unlimited period. A growing perpetuity is a kind of perpetuity whose period payments are not equal and they grow(or decline) at a constant rate each period for an indefinite period of time.

The formula for the present value of a growing perpetuity is attached.

The present value of the savings can be calculated as follows,

Present value = 2000 / (0.05 - (-0.04)

Present value = 2000 / (0.05 + 0.04)

Present value = 2000 / 0.09

Present value = $22222.22

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4 years ago
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Answer:

Friendly's would say you were paying <u>1042.86% APR</u>.

Explanation:

Annual percentage rate (APR) can be described as the yearly interest rate that is paid by a borrower to a lender which is expressed in percentage term without taking compounding into consideration.

Annual Percentage Rate (APR) can be determined using the following formula:

APR = {[(Fees + Interest amount) / Principal / n] * 365} * 100 ……………… (1)

Where;

APR = ?

Fees = 0

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Principal = Amount to borrow = $10.00

n = Number of days in the loan term = One week = 7 days

Substituting the values into equation (1), we have:

APR = {[(0 + 2) / 10 / 7] * 365} * 100

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Therefore, friendly's would say you were paying <u>1042.86% APR</u>.

5 0
3 years ago
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Answer:

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Explanation:

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At higher price, the producers will supply more oranges, because they will earn more profits. The supply of product is positively related to its price. So at higher price of oranges, more quantity will be supplied.

5 0
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Answer:

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