100% CORRECT ANSWERS | LATEST
VERSION 2025/2026.
Net Present Value (NPV) - ANS PV is a measure of how much value is created or added today
by undertaking an investment (the difference between the investment's market value and its
cost).
NPV = - ANS Estimate future cash flows. Calculate the present value of those cash flows
minus the initial cost.
NPV example: You plan to buy a machine that will cost $2,000 today and produce cash flows of
$1,500 in each of the next two years. The salvage value will be zero. The cost of capital is 15
percent. Should you buy the machine? - ANS |----------------|----------------|-------------->
-2000 1500 1500
1500/ .15 = 6,666.67
1500 / (.15)^2 = 1,134.22
N= 2 , Int = 15, PV = ? , PMT = 1500 , FV= 0
= $2,438.56
2,438 > 2,000
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,NPV rule: - ANS An investment should be accepted if the net present value is _positive_and
rejected if it is _negative_.
*Assumes cash flows are reinvested at _cost of capital_
Pros NPV: - ANS -uses all cash flows
- adjusts for time value of money
Cons NPV: - ANS - need appropriate discount rate
- relatively more difficult to communicate
Internal rate of return - ANS The internal rate of return is the discount rate that makes the
net present value of a project equal to zero.
How to find initial rate of return - ANS Set NPV equal to zero and solve for "r". Calculating IRR
is identical to calculating the yield to maturity on bonds.
IRR example: You plan to buy a machine that will cost $2,000 today and produce cash flows of
$1,500 in each of the next two years. The salvage value will be zero. The cost of capital is 15
percent. Should you buy the machine? - ANS N = 2 , int = ? , PV = -2000, PMT = 1500, FV = 0
INT= 31.8729
The rule of IRR: - ANS An investment is acceptable if the IRR exceeds the _required rate of
return or cost of capital_. It should be rejected otherwise.
-*Assumes cash flows are reinvested at _the IRR_.
Pros IRR: - ANS -Closely related to the NPV rule
-Relatively easier to communicate
Cons IRR: - ANS - may result in multiple answers (non conventional cash flows)
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, - may result in incorrect decisions (mutually exclusive investments)
The better method of estimating return is - ANS NPV
Independent projects - ANS only looking at one project and deciding to invest or not
If you have a choice between two projects, - ANS use the NPV bc IRR doesnt always tell you
everything you need to know
Net present value profile - ANS a graph showing the relationship between a project's NPV
and various discount rates
Information a NPV profile provides: - ANS 1. Discount rates where NPV is positive - accept
2. Discount rates where NPV is negative - reject
3. Discount rates where NPV is zero - IRR
4. Sensitivity of NRV to our discount rate (ex: slope)
Non conventional cash flow example: Assume you are considering a project with the following
cash flows:
Year Cash Flows
0 -$ 252
1 $1,431
2 -$3,035
3 $2,850
4 -$1,000 - ANS calculate the NPV:
-at 25.00%: NPV = _0_
-at 33.33%: NPV = _0_
-at 42.86%: NPV = _0_
-at 66.67%: NPV = _0_
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