Single-payment compound amount factor

The term (1 + i)" is commonly referred to as the discrete single-payment compound-amount factor. Values for this factor at various interest rates and numbers of interest periods are given in Table 1. 

Present Worth Factor (Single Payment) Compound Amount Factor (Uniform Series)... 

Compound interest Amount of compound interest Single-payment compound-amount factor Single-payment present-worth factor... 

Discrete single-payment compound-amount factor... 

The factor (1 -1- ijff)" in Eqs. (17.12) and (17.13), which from Eq. (17.19) equals e , is commonly referred to as the continuous single-payment compound-amount factor. 

This factor finds the equivalent present value, F, of a single future cash flow, F, occurring at n periods in the future when the interest rate is /% per period. Note that this factor is the reciprocal of the compound amount factor (single payment). For example, what amount would you have to invest now to yield 2829 in nine years if the interest rate were 10% ... 

The limit of (1 + Mk f as k approaches infinity is e. Thus, Eq. (2) can be written as and the single-payment continuous compounding amount factor at r% nominal annual interest rate for N years is Also, since (for continuous compounding) corresponds to (1 + i) for discrete compounding,... 

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