Compound Interest Formula For Different Variables by williamava123

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```									   Compound Interest Formula for Different
Variables
The compounded interest will be computed through the first deposited amount. After this
process, it will be added to the entire cash amount. Then the interest will be compounded again
for the second time and added again to the total amount of cash in the account. This cycle is done
through the compound interest formula. It will repeat over and over until the savings period or
loan periods end.
What will the compound interest formula looked like if i deposited the amount of \$1,000 and the
interest if 10% every year?

1,000 + (1,000 * 10%) = ?

(1,000 * 1) + (1,000 * (10/100)) = ?

(1,000 * 1) + (1,000 * .10) = ?

1,000 * (1 + .10) = ?

1,000 * 1.10 = 1,100 as the outcome of the compound interest formula for the first year.

In conclusion, the outcome of the compound interest formula for the first year is just like
multiplying the first deposited amount to 1.10 which is the outcome of the interest multiplied by
the first deposited amount itself.

What is an easy way to compute or solve for the sum amount of cash for the fifth year?

The long method of computing for the sum amount of cash for the fifth year.

1,000 * 1.10 * 1.10 * 1.10 * 1.10 * 1.10 = 1,610.51

The exponent method of computing for the sum amount of cash for the fifth year.

1,000 * 1.105 = 1,610.51

Here is the compound interest formula we use in general using variables and legends.

CV * (1 + i ) n = O

   CV is the variable for the current value.
   i is the variable for the rate of interest.
   n is the variable is the number of times the interest is compounded
   O is the variable for the outcome of the compound interest formula.
How About If We Would Like to Find Out the Answer to Other Variables in the
Compound Interest Formula?

Here is the Compound Interest Formula for the Current Value.

CV * (1 * i) n = O
(1 * i) n = (1 * i) n
CV = O
(1 * i) n

Here is the Compound Interest Formula for the Rate of Interest.

CV * (1 + i) n = O

(1 + i) n = O/CV
1/n
(1 + i) = (O/CV)
1/n
i = (O/CV)         –1

Here is the Compound Interest Formula for the Number of Times the Interest is
Compounded.

CV * (1 + i) n = O

(1 + i) n = O/CV

ln (1 + i) * n = ln (O/CV)

n = ln (O/CV)

ln (1 + i)

For this formula, we used a logarithm function ln() to be able to come up with the correct