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Section 4
Additional Financial Functions
Discounted Cash Flow Analysis: NPV and IRR
The HP 12C Platinum provides functions for the two most widely-used methods 
of discounted cash flow analysis: l (net present value) and L (internal rate 
of return). These functions enable you to analyze financial problems involving 
cash flows (money paid out or received) occurring at regular intervals. As in 
compound interest calculations, the interval between cash flows can be any time 
period; however, the amounts of these cash flows need not be equal.
To understand how to use l and L, let’s consider the cash flow diagram for 
an investment that requires an initial cash outlay (CF
0
) and generates a cash flow 
(CF
1
) at the end of the first year, and so on up to the final cash flow (CF
6
) at the 
end of the sixth year. In the following diagram, the initial investment is denoted 
by CF
0
, and is depicted as an arrow pointing down from the time line since it is 
cash paid out. Cash flows CF
1
 and CF
4
 also point down from the time line, 
because they represent projected cash flow losses.
NPV is calculated by adding the initial investment (represented as a negative 
cash flow) to the present value of the anticipated future cash flows. The interest 
rate, i, will be referred to in this discussion of NPV and IRR as the rate of 
return.
14
 The value of NPV indicates the result of the investment.
z If NPV is positive, the financial value of the investor’s assets would be 
increased: the investment is financially attractive.
z If NPV is zero, the financial value of the investor’s assets would not 
change: the investor is indifferent toward the investment.
z If NPV is negative, the financial value of the investor’s assets would be 
decreased: the investment is not financially attractive.
14.
Other terms are sometimes used to refer to the rate of return. These include: required rate of 
return, minimally acceptable rate of return, and cost of capital.