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Imagine that you are trying to evaluate the economics of purchasing a condominium to live in during college rather than renting an apartment. If you

Imagine that you are trying to evaluate the economics of purchasing a condominium to live in during college rather than renting an apartment. If you buy the condo, during each of the next 4 years you will have to pay property taxes and maintenance expenditures of about $6,000 peryear, but you will avoid paying rent of $10,000 per year. When you graduate 4 years from now, you expect to sell the condo for $125,000 after taxes. If you buy the condo, you will use money you have saved that is currently invested and earning a 4% annual after-tax rate of return. Assume for simplicity that all cash flows (rent, maintenance, etc.) would occur at the end of each year.

  1. Draw a timeline showing the cashflows, their timing, and the required return applicable to valuing the condo.

(6 marks)

Year

$

1-4

Investment (Cash outflow):

Property taxes and maintenance expenditures ($6000 x 4 years)

(24,000)

1-4

Saving (Cash inflow)

Rental ($10,000 x4 years)

40,000

Net Cashflow

16,000

4

Proceed from Sale of Condo

125,000

Required rate of return is 4%

  1. What is the maximum price you would be willing to pay to acquire the condo? Explain.

(4 marks)

Year

Cashflow

$

Discount (4%)

0

Purchase

(?)

1.000

(?)

1-4

Net Cash flow

16000

Use present Value annuity (4%, 4 years)

4

Proceed from Sale of Condo

125,000

Use Present Value (4%, 4, 4 years)

NPV at least 0

[TOTAL:10 MARKS]

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