3 Time Value of Money
The examples in the following sections are calculated with the Mode menu preferences in their default settings, unless otherwise noted. For more information about basic features and setting preferences, see Chapter 1, Basic Features.
Time Value of Money (TVM) Keys
Cash flow diagrams are useful tools for analyzing financial situations, as they help you identify the TVM functions needed to resolve your problem. A cash flow diagram is a drawing with a set of vertical arrows arranged on a horizontal line. The horizontal line represents the period of time from the beginning of the financing to the end. The vertical arrows represent the money or cash flows at certain times throughout the period. The arrows' length is proportional to the cash flow amount each arrow represents; a longer arrow indicates a larger amount, a shorter arrow, a smaller amount. Each arrow's position on the line represents the time at which the cash flow occurs. The orientation of the arrow, up or down, represents the "direction" of the cash flow: up for money received, down for money paid out. See Figure 1.
(PV) Loan amount- | (Beg) (End) For payments occurring at the | |||||
money received is | beginning or end of the compounding period | |||||
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PMT | PMT | PMT | PMT | PMT | PMT |
1 | 2 | 3 | 4 | 5 | 6 |
(PMT) Amount paid out in | (N) Number of payments | (FV) Final loan |
equal payments at regular | or compounding periods | value (if any) |
intervals |
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Figure 1 Cash Flow Diagram Example with Corresponding TVM Keys
The TVM functions of the calculator can solve problems with at least one cash flow, and problems in which all the cash flows, except the first and last, are of the same value. To solve other types of cash flows, refer to Chapter 4, Canadian Mortgages: TVM Canada, or Chapter 5, Cash Flows.
Time Value of Money 27