Question
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.
- 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%
- 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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