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Sharp cs-2850 User Manual

Page 29

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COMPOUND INTEREST
Calculate the new balance on a deposit which is compounded quarterly for 4 years at

a given annual interest rate.

SOLUTION;

FORMULA:

EXAMPLE:

1. Calculate the quarterly interest rate.

2. Calculate the new balance (principal plus interest)

New balance = P (1 + i)"

Where

P = amount of deposit (principal)

i

= interest rate per period

n = number of years x 4

If

P = $6,150

i

= 5% annum -r 4 periods = 0.0125

n = 4 years x 4 periods = 16

Then 6,150 (1 + 0.0125)’® = $7,502.32 (New Balance)

(

1

)

(2)

(3)

(4)

.05 g]

0.05

0 05 -r

4 [1]

4 =

0.0125

a

0 0125 *

is

0.0125

a

0 0125 +

1

1.0125

a

1- +

s

1 0125 0

1.0125

10125

X

[S

1-0125 =

1.02515625

a

1 02515625 *

1.02515625

1 02515625

X

1 02515625 =

1.05094533691

a

1 05094533691

*

0

1.05094533691

1 05094533691

X

m

1 05094533691 =

1.10448610117

a

1-10448610117 *

0

1.10448610117

1-10448610117

X

s

1-10448610117 =

1.21988954767

a

1-21988954767

*

0

1.21988954767

1-21988954767 x

6150 [S

6-150- =

7,502.32071817

a

7-502 32071817

Annual int. rate

Quarterly int. rate

(1 +i)

(1 + i)*

(1 + i)^

(1 + 0®

(1 + i)««

Principal

New balance

27

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