Time Value of Money
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Compare the results of the three (3) methods by quality of
information for decision making. Using what you have learned about the three (3)
methods, identify the best project by the criteria of long term increase in
value. (You do not need to do further research.) Convey your understanding of
the Time Value of Money principles used or not used in the three (3) methods.
Review the video titled “NPV, IRR, MIRR for Mac and PC Excel” (located at and previously
listed in Week 4) to help you understand the foundational concepts:
Scenario Information:
Assume that two gas stations are for sale with
the following cash flows; CF1 is the Cash Flow in the first year, and CF2 is the
Cash Flow in the second year. This is the time line and data used in calculating
the Payback Period, Net Present Value, and Internal Rate of Return. The
calculations are done for you. Your task is to select the best project and
explain your decision. The methods are presented and the decision each indicates
is given below.
Investment | Sales Price | CF1 | CF2 |
Gas Station A | $50,000 | $100,000 | |
Gas Station B | $50,000 | $50,000 | $25,000 |
Three (3) Capital Budgeting Methods
are presented:
- Payback Period: Gas Station A is paid back in 2 years; CF1
in year 1, and CF2 in year 2. Gas Station B is paid back in one (1) year.
According to the payback period, when given the choice between two mutually
exclusive projects, the investment paid back in the shortest time is
selected. - Net Present Value: Consider the gas station example above
under the NPV method, and a discount rate of 10%:
NPVgas station A
= $100,000/(1+.10)2 – $50,000 =
$32,644
NPVgas station B = $50,000/(1+.10) +
$25,000/(1+.10)2 – $50,000 = $16,115 - Internal Rate of Return: Assuming 10% is the cost of funds;
the IRR for Station A is 41.421%.; for Station B,
36.602.
Summary of the Three (3) Methods:
- Gas Station B should be selected, as the investment is returned in 1 period
rather than 2 periods required for Gas Station A. - Under the NPV criteria, however, the decision favors gas station A, as it
has the higher net present value. NPV is a measure of the value of the
investment. - The IRR method favors Gas Station A. as it has a higher return, exceeding
the cost of funds (10%) by the highest return.
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