Section 4: Additional Financial Functions 59
A comparison of the NPV’s of alternative investment possibilities indicates 
which of them is most desirable: the greater the NPV, the greater the increase in 
the financial value of the investor’s assets.
IRR is the rate of return at which the discounted future cash flows equal the 
initial cash outlay: IRR is the discount rate at which NPV is zero. The value of 
IRR relative to the present value discount rate also indicates the result of the 
investment:
z If IRR is greater than the desired rate of return, the investment is 
financially attractive.
z If IRR is equal to the desired rate of return, the investor is indifferent 
toward the investment.
z If IRR is less than the desired rate of return, the investment is not 
financially attractive.
Calculating Net Present Value (NPV)
Calculating NPV for Ungrouped Cash Flows. If there are no equal 
consecutive cash flows, use the procedure described (and then summarized) 
below. With this procedure, NPV (and IRR) problems involving up to 30 cash 
flows (in addition to the initial investment CF
0
) can be solved. If two or more 
consecutive cash flows are equal – for example, if the cash flows in periods three 
and four are both $8,500 – you can solve problems involving more than 30 cash 
flows, or you can minimize the number of storage registers required for 
problems involving less than 30 cash flows, by using the procedure described 
next (under Calculating NPV for Grouped Cash Flows, page 61).
The amount of the initial investment (CF
0
) is entered into the calculator using 
the J key.
Note: The initial investment can not be zero.
Each cash flow (CF
1
, CF
2
, etc.) is designated CF
j
, where j takes on values from 
1 up to the number of the final cash flow. The amount of a cash flow is entered 
using the K key. Each time gK is pressed, the amount in the display is 
stored in the next available storage register, and the number in the n register is 
increased by 1. This register therefore counts how many cash flow amounts (in 
addition to the initial investment CF
0
) have been entered.
Note: When entering cash flow amounts – including the initial investment 
CF
0
 – remember to observe the cash flow sign convention by pressing 
Þ after keying in a negative cash flow.
In summary, to enter the cash flow amounts:
1. Press fCLEARH to clear the financial and storage registers.
2. Key in the amount of the initial investment, press Þ if that cash flow is 
negative, then press gJ.