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If you require a 11% annual return on your investments, would you prefer $25,250 seven (7)...

If you require a 11% annual return on your investments, would you prefer $25,250 seven (7) years from today or an ordinary annuity of $2,525 per year for 10 years?

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Answer #1

Option A:

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=$25250/1.11^7

=$25250*0.48165841

=$12161.87(Approx).

Option B:

Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

=$2525[1-(1.11)^-10]/0.11

=$2525*5.889232011

=$14870.31(Approx).

Hence ordinary annuity of $2525 per year for 10 years is better having higher present value.

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