Explicit Equations Preview

i=0.1
n=20
P=1000
Fn=P·(1+i)n
Pmt=i·(1+i)n·P(1+i)n1

Program validated. Ready to Solve.
# 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

Explicit Equations Solution

 VariableValue
1i0.1
2n20
3P1000
4Fn6727.4999
5Pmt117.45962

Settings and Hints

 Name/SourceValueType
1 Explicit equations 5 Setting
2 Anonymous expressions 0 Setting
3 #@report_fix_digits = 8 Default (integer)
4 #@report_show_source = true Default (boolean)
5 #@report_show_header = false Default (boolean)
6 #@report_show_settings = true Default (boolean)

Messages

 SeverityDescription
1Info-Infor- Explicit variables (5) i, n, P, Fn, Pmt
2Info-Infor- All variables (5) i, n, P, Fn, Pmt

Source

# 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