Question

An investment has a cost of $4000. The investment will have a payout of X at...

  1. An investment has a cost of $4000. The investment will have a payout of X at the end of the first year. This initial payout X will grow at the rate of 14% per year for the next 3 years, then by 8% per year for the next 3 years, and then at the rate of 5% per year for the following 2 years. You believe the riskiness of this investment is 10%.
    1. Calculate the smallest X that would entice you to invest.

Homework Answers

Answer #1

For above question Annuity X  can be calculated using  excel

A B C D E F G H
1 Year 0 1 2 3 4 5 6 7 8
2 Cash Flow -4000 1.14 1.2996 1.481544 1.60006752 1.728073 1.866319 1.959635 2.057616
Formula (=1*1.4) A2*1.14 B2*1.14 C2*1.08 D2*1.08 E2*1.08 F2*1.05 G2*1.05
NPV of Cash flows assuming 1S of cash flows $8.41 Formula=NPV(10%,A2:H2) PV of all cash flows assuming annuity as 1$
PMT $475.72 (=4000/NPV of 1$ cash flow)

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