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You are thinking of building a new machine that will sve you 2,000 in the first
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.)
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westlakebuddy1229
4,9(87 marks)
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
jujudad0ll
4,5(8 marks)
Lol why are u asking these kind of questions
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