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CAGR Formula
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Topic: CAGR Formula (Read 4302 times)
tMinuszero
Newbie
Posts: 5
CAGR Formula
«
on:
September 16, 2016, 10:24:59 pm »
Hi,
Could somebody explain how to implement the following formula in object pascal code please? Sticky point is implementing (^) power bit.
y = a(1 + r)^x
where:
y = future compounded value
a = initial value
r = growth rate
x = number of periods
Logged
Bart
Hero Member
Posts: 5290
Re: CAGR Formula
«
Reply #1 on:
September 16, 2016, 10:27:23 pm »
Take a look at the Power() function (unit math).
Bart
Logged
tMinuszero
Newbie
Posts: 5
Re: CAGR Formula
«
Reply #2 on:
September 16, 2016, 11:03:45 pm »
Thanks Bart..
I don't know enough coding to use IDE yet.
Just wanted to know sample code implementing the above formula.
Logged
lainz
Hero Member
Posts: 4473
Re: CAGR Formula
«
Reply #3 on:
September 16, 2016, 11:12:43 pm »
Go to Lazarus and do Project > New Project > select Simple Program and copy this (hope the formula is OK typed, else fix it yourself):
program Project1;
Code: Pascal
[Select]
[+]
[-]
uses
Math
;
function
CAGR
(
initial_value
,
grouth_rate
,
number_of_periods
:
double
)
:
double
;
begin
result
:
=
initial_value
*
Power
(
(
1
+
grouth_rate
)
,
number_of_periods
)
;
end
;
begin
writeln
(
CAGR
(
5.1
,
10.4
,
2.2
)
:
0
:
2
)
;
readln
(
)
;
end
.
Logged
https://lainz.github.io/
JD
Hero Member
Posts: 1848
Re: CAGR Formula
«
Reply #4 on:
September 16, 2016, 11:15:02 pm »
@tMinusZero
Look in the Math unit. It has some basic financial functions that can help you with
capital budgeting
calculations. You can use them to put together more complicated equations.
Code: Pascal
[Select]
[+]
[-]
{ Financial functions }
function
FutureValue
(
ARate
:
Float
;
NPeriods
:
Integer
;
APayment
,
APresentValue
:
Float
;
APaymentTime
:
TPaymentTime
)
:
Float
;
function
InterestRate
(
NPeriods
:
Integer
;
APayment
,
APresentValue
,
AFutureValue
:
Float
;
APaymentTime
:
TPaymentTime
)
:
Float
;
function
NumberOfPeriods
(
ARate
,
APayment
,
APresentValue
,
AFutureValue
:
Float
;
APaymentTime
:
TPaymentTime
)
:
Float
;
function
Payment
(
ARate
:
Float
;
NPeriods
:
Integer
;
APresentValue
,
AFutureValue
:
Float
;
APaymentTime
:
TPaymentTime
)
:
Float
;
function
PresentValue
(
ARate
:
Float
;
NPeriods
:
Integer
;
APayment
,
AFutureValue
:
Float
;
APaymentTime
:
TPaymentTime
)
:
Float
;
You are looking for the future value of y so use the FutureValue function OR the solution
lainz
proposed above.
JD
«
Last Edit: September 16, 2016, 11:20:15 pm by JD
»
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Windows - Lazarus 2.1/FPC 3.2 (built using fpcupdeluxe),
Linux Mint - Lazarus 2.1/FPC 3.2 (built using fpcupdeluxe)
mORMot; Zeos 8; SQLite, PostgreSQL & MariaDB; VirtualTreeView
tMinuszero
Newbie
Posts: 5
Re: CAGR Formula
«
Reply #5 on:
September 16, 2016, 11:36:48 pm »
Thanks a lot guys................
Appreciated.
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