# Explicit set of 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 repaymen

Explicit Equations Preview

i = 0.1

n = 20

P = 1000

Fn = P \cdot {(1 + i)}^{n}

Pmt = \frac{i \cdot {(1 + i)}^{n} \cdot P}{{(1 + i)}^{n} - 1}

Program validated. Ready to Solve.

Explicit Equations Solution

	Variable	Value	Details
1	i	0.1
2	n	20
3	P	1000
4	Fn	6727.4999	Fn = P*(1+i)^n
5	Pmt	117.45962	Pmt = (i(1+i)^n)P/((1+i)^n-1)

Settings and Hints

	Name/Source	Value	Type
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

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

Explicit Equations Solution

Settings and Hints

Messages

Source