(12C) Geometric Mean with Percentage

[Gamo]

To calculate the overall geometric mean percentage increase,
you can use the following formula:

GM% = [ n√(1+r1)(1+r2)(1+r3)...... ] - 1

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Procedure:

Initialize by [f] REG to clear all Store Register

Input Percent Data then [R/S] display show Data Count 1, 2 .... n

When done press 0 [R/S] display answer GM%

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Example: FIX 2

An investor has annual return of 5%, 10%, 20%, -50%, and 20%.

[f] REG

5 [R/S] display 1
10 [R/S] display 2
20 [R/S] display 3
-50 [R/S] display 4
20 [R/S] display 5

0 [R/S] display answer -3.62

This results in a -3.62% annual return.

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Program:

Quote:01 ENTER
02 1
03 %
04 LSTx
05 +
06 STO 0
07 1
08 STO 1
09 R/S
10 X=0
11 GTO 21
12 1
13 %
14 LSTx
15 +
16 STOx0
17 1
18 STO+1
19 RCL 1
20 GTO 09
21 RCL 0
22 RCL 1
23 1/x
24 Y^X
25 1
26 -
27 EEX
28 2
29 x
30 GTO 00

Gamo 7/2024