A lifestyle investment company has the following two options: The first investment option, which costs $65,000, is a perpetuity and pays $10,000 a year (in perpetuity) from year 3 onwards. The second investment costs $60,000 and pays the following cash flows in years 2 to 7: Yr 2: $15,000, Yr 3: $16,000, Yr 4: $17,000, Yr 5: $18,000, Yr 6: $19,000 and Yr 7: $20,000. Identify, for your client, which of these investments are good investments, assuming that the rate of return on investment is 13% p.a. for your client.
Present value of perpetuity = Perpetual cash flow/Required rate of return
Value of first investment option at the end of year 2 = $10,000/0.13 = $76,923.08
Present value of first investment option = $76,923.08/1.132 = $60,242.05
Present value of second investment option = $15,000/1.132 + $16,000/1.133 + $17000/1.134 + $18,000/1.135 + $19,000/1.136 + $20,000/1.137 = $60,659.36
Second investment is a good investment because its fair value is more than the cost of the investment.
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