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zavuch27 [327]
3 years ago
6

John would like to move from the city into the suburbs and has been saving up a large down payment for a home. Which is the most

cost effective way for John to buy a house in the suburbs?
A Move to the suburbs and rent a house for one year before purchasing a home.
B Finish the term of his apartment lease in the city and find a new home to purchase simultaneously.
C Break his lease and move to the suburbs immediately without identifying a home to buy.
D Break his lease once he has bought the perfect home.
Business
1 answer:
Harrizon [31]3 years ago
5 0
I think that the answer is A but i may be wrong
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Present Value of Ordinary Annuity Period/Rate 5% 6% 7% 8% 9% 10 7.7217 7.3601 7.0236 6.7101 6.4177 11 8.3064 7.8869 7.4987 7.139
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The discount rate of 8% for 11 year period provides the present value of annual cash flows to be equal to the initial investment.

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We are told that the Project's life is expected to be 11 Years. Thus using the 11 year period from the table we can see the following rates,

<u>11 Year Period</u>

Rate = 5%  ,  Annuity Factor = 8.3064  

Rate = 6%  ,  Annuity Factor = 7.8869

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Rate = 8%  ,  Annuity Factor = 7.1390

Rate = 9%  ,  Annuity Factor =  6.8052

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Multiplying the annual cash flow from the above annuity factors for each rate we can see which rate provides the present value of annual cash flows to be equal to initial outlay.

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Rate = 6%  ,  Annuity Factor = 7.8869 *  1000000    = $7,886,900

Rate = 7%  ,  Annuity Factor = 7.4987 *  1000000    = $7,498,700

Rate = 8%  ,  Annuity Factor = 7.1390 *  1000000    = $7,139,000

Rate = 9%  ,  Annuity Factor =  6.8052 *  1000000    = $6,805,200

From the above calculation we can see that the rate of 8% provides the present value of annual cash flows to be equal to the initial investment.

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