PolymathPlus Report
PolymathPlus Report
📈   Explicit Equations 2022-04-01 18:57 

# Example 5 - Explicit set of assignment equations
# Future value and constant annual repayment
# Verified Solution: Fn=6727.5, Pmt=117.46

i=0.1 # interest rate
n=20 # no. of years
P=1000 # loan. amount
Fn=P*(1+i)^n # future value
Pmt=(i*(1+i)^n)*P/((1+i)^n-1) # annual repayment


Calculated values of explicit variables

    Variable Value
1 i 0.1
2 n 20
3 P 1000
4 Fn 6727.4999
5 Pmt 117.45962

Formatted equations

  i = 0 . 1
  n = 2 0
  P = 1 0 0 0
  F n = P + 1 i ( ) n
  P m t = i + 1 i ( ) n P + 1 i ( ) n 1

General Settings

number of explicit equations: 5
reporting digits 10