# Phrases/Financial

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### Cash Flows

x=. 20 25 30 30 NB. payments y=. 0.05 0.05 0.06 0.06 NB. interest rates NB. present value, payments start at end year +/ x % */\ 1+y 91.6116 NB. present value, payments start at beginning year +/ x % */\ 1, }: 1+y 96.6911 NB. future values, payments start at beginning year r * +/\ x % 1, }: r=. */\ 1+y 21 48.3 82.998 119.778

### Rule of 78

y=. 6 NB. amortization period (% {.) |. +/\i. 1+y NB. declining balances 1 0.714286 0.47619 0.285714 0.142857 0.047619 0

### Work Done

Calculation of work done in periods given the capacity. Work exceeding capacity is carried forward to the next period.

capacity=. 50 100 125 150 200 demand=. 5$100 capacity + 2 -/\ >./\ 0, +/\ capacity - demand 50 100 125 125 100

### Internal Rate of Return

Internal rate of return for a project that requires initial investment of $90 and brings revenue $30, $40, $20 and $10 over next 4 years, after which terminates can be calculated as

(#~1=*) %1{::p. _90 30 40 20 10 1.05202