Question
A company has two potential projects to choose from. Project A requires an initial investment of $400,000 and will generate $130,000 annually for 5 years.
A company has two potential projects to choose from. Project A requires an initial investment of $400,000 and will generate $130,000 annually for 5 years. Project B requires a $400,000 initial investment and will generate $70,000 in the first year, with cash flows increasing by $10,000 each subsequent year. The discount rate is 10%.
Task: Calculate the NPV for both projects and advise which project the company should choose.
The solution that teacher have provided is
For Project B: NPV = -Initial Investment + (Cash Flowt / (1 + r)^t) NPV = -$400,000 + ($70,000 / 1.10) + ($80,000 / 1.10^2) + ($90,000 / 1.10^3) + ($100,000 / 1.10^4) + ($110,000 / 1.10^5) NPV = -$400,000 + $63,636 + $66,116 + $67,314 + $68,301 + $68,151 NPV = $33,518
BUT MY CALCULATION IS 70,000/1.10=63,636
80000/1.10^2=66,116
90,000/1.10^3-67,618
100,000/1.10^4=68,301
110,000/1.10^5=68301
PLEASE TELL ME WHERE I AM DOING WRONG
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