Semi Annual Compound Interest Calculator

✖Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually.ⓘ Principal Amount of Semi Annual CI [P_{Semi Annual}]			+10% -10%
✖The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.ⓘ Annual Rate of Compound Interest [r_Annual]			+10% -10%
✖Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.ⓘ Time Period of Semi Annual CI [t_{Semi Annual}]			+10% -10%

✖Semi Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually.ⓘ Semi Annual Compound Interest [CI_{Semi Annual}]

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Formula

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Semi Annual Compound Interest

Formula

`"CI"_{"Semi Annual"} = "P"_{"Semi Annual"}*((1+"r"_{"Annual"}/(2*100))^(2*"t"_{"Semi Annual"})-1)`

Example

`"3310"="10000"*((1+"20"/(2*100))^(2*"1.5Year")-1)`

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Semi Annual Compound Interest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1)
CI_{Semi Annual} = P_{Semi Annual}*((1+r_Annual/(2*100))^(2*t_{Semi Annual})-1)
This formula uses 4 Variables

Variables Used

Semi Annual Compound Interest - Semi Annual Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually.
Principal Amount of Semi Annual CI - Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually.
Annual Rate of Compound Interest - The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.
Time Period of Semi Annual CI - (Measured in Year) - Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.

STEP 1: Convert Input(s) to Base Unit

Principal Amount of Semi Annual CI: 10000 --> No Conversion Required
Annual Rate of Compound Interest: 20 --> No Conversion Required
Time Period of Semi Annual CI: 1.5 Year --> 1.5 Year No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CI_{Semi Annual} = P_{Semi Annual}*((1+r_Annual/(2*100))^(2*t_{Semi Annual})-1) --> 10000*((1+20/(2*100))^(2*1.5)-1)

Evaluating ... ...

CI_{Semi Annual} = 3310

STEP 3: Convert Result to Output's Unit

3310 --> No Conversion Required

FINAL ANSWER

3310 <-- Semi Annual Compound Interest

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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The National Institute of Engineering (NIE), Mysuru

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< 3 Semi Annual Compound Interest Calculators

Semi Annual Compound Interest given Semi Annual Rate

Go Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Semi Annual Rate of Compound Interest/100)^(2*Time Period of Semi Annual CI)-1)

Semi Annual Compound Interest

Go Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1)

Semi Annual Compound Interest given Final Amount

Go Semi Annual Compound Interest = Final Amount of Semi Annual CI-Principal Amount of Semi Annual CI

< 5 Semi Annual Compound Interest Calculators

Time Period of Semi Annual Compound Interest

Go Time Period of Semi Annual CI = 1/2*log((1+Annual Rate of Compound Interest/(2*100)),Semi Annual Compound Interest/Principal Amount of Semi Annual CI+1)

Principal Amount of Semi Annual Compound Interest

Go Principal Amount of Semi Annual CI = Semi Annual Compound Interest/((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1)

Semi Annual Compound Interest

Go Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1)

Final Amount of Semi Annual Compound Interest

Go Final Amount of Semi Annual CI = Principal Amount of Semi Annual CI*(1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)

Semi Annual Rate of Compound Interest given Annual Rate

Go Semi Annual Rate of Compound Interest = Annual Rate of Compound Interest/2

Semi Annual Compound Interest Formula

What is Compound Interest?

Compound Interest is the interest calculated on the principal and the interest accumulated over the previous period. The Compound Interest for an amount depends on both principal and interest gained over periods. Compound Interest varies with each year for the same principal amount. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How to Calculate Semi Annual Compound Interest?

Semi Annual Compound Interest calculator uses Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1) to calculate the Semi Annual Compound Interest, The Semi Annual Compound Interest formula is defined as the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually. Semi Annual Compound Interest is denoted by CI_{Semi Annual} symbol.

How to calculate Semi Annual Compound Interest using this online calculator? To use this online calculator for Semi Annual Compound Interest, enter Principal Amount of Semi Annual CI (P_{Semi Annual}), Annual Rate of Compound Interest (r_Annual) & Time Period of Semi Annual CI (t_{Semi Annual}) and hit the calculate button. Here is how the Semi Annual Compound Interest calculation can be explained with given input values -> 3310 = 10000*((1+20/(2*100))^(2*47335428)-1).

FAQ

What is Semi Annual Compound Interest?

The Semi Annual Compound Interest formula is defined as the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually and is represented as CI_{Semi Annual} = P_{Semi Annual}*((1+r_Annual/(2*100))^(2*t_{Semi Annual})-1) or Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1). Principal Amount of Semi Annual CI is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded semi-annually, The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually & Time Period of Semi Annual CI is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually.

How to calculate Semi Annual Compound Interest?

The Semi Annual Compound Interest formula is defined as the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded semi-annually is calculated using Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Annual Rate of Compound Interest/(2*100))^(2*Time Period of Semi Annual CI)-1). To calculate Semi Annual Compound Interest, you need Principal Amount of Semi Annual CI (P_{Semi Annual}), Annual Rate of Compound Interest (r_Annual) & Time Period of Semi Annual CI (t_{Semi Annual}). With our tool, you need to enter the respective value for Principal Amount of Semi Annual CI, Annual Rate of Compound Interest & Time Period of Semi Annual CI and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Semi Annual Compound Interest?

In this formula, Semi Annual Compound Interest uses Principal Amount of Semi Annual CI, Annual Rate of Compound Interest & Time Period of Semi Annual CI. We can use 2 other way(s) to calculate the same, which is/are as follows -

Semi Annual Compound Interest = Final Amount of Semi Annual CI-Principal Amount of Semi Annual CI
Semi Annual Compound Interest = Principal Amount of Semi Annual CI*((1+Semi Annual Rate of Compound Interest/100)^(2*Time Period of Semi Annual CI)-1)

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