Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Calculator

✖The Semi Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded semi-annually.ⓘ Semi Annual Rate of Compound Interest [r_{Semi Annual}]			+10% -10%
✖Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at fixed rate compounded semi-annually.ⓘ Final Amount of Semi Annual CI [A_{Semi Annual}]			+10% -10%
✖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%

✖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 Compound Interest given Final Amount and Semi Annual Rate [t_{Semi Annual}]

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Formula

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Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate

Formula

`"t"_{"Semi Annual"} = 1/2*log((1+"r"_{"Semi Annual"}/100),"A"_{"Semi Annual"}/"P"_{"Semi Annual"})`

Example

`"1.5Year"=1/2*log((1+"10"/100),"13310"/"10000")`

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Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI)
t_{Semi Annual} = 1/2*log((1+r_{Semi Annual}/100),A_{Semi Annual}/P_{Semi Annual})
This formula uses 1 Functions, 4 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

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.
Semi Annual Rate of Compound Interest - The Semi Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded semi-annually.
Final Amount of Semi Annual CI - Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at 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.

STEP 1: Convert Input(s) to Base Unit

Semi Annual Rate of Compound Interest: 10 --> No Conversion Required
Final Amount of Semi Annual CI: 13310 --> No Conversion Required
Principal Amount of Semi Annual CI: 10000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_{Semi Annual} = 1/2*log((1+r_{Semi Annual}/100),A_{Semi Annual}/P_{Semi Annual}) --> 1/2*log((1+10/100),13310/10000)

Evaluating ... ...

t_{Semi Annual} = 1.5

STEP 3: Convert Result to Output's Unit

47335427.9999999 Second -->1.5 Year (Check conversion here)

FINAL ANSWER

1.5 Year <-- Time Period of Semi Annual CI

(Calculation completed in 00.004 seconds)

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Home » Math » Arithmetic » Simple Interest and Compound Interest » Compound Interest » Semi Annual Compound Interest » Time Period of Semi Annual Compound Interest » Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate

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< 3 Time Period of Semi Annual Compound Interest Calculators

Time Period of Semi Annual Compound Interest given Semi Annual Rate

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

Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate

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

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)

Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate 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 Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?

Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate calculator uses Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI) to calculate the Time Period of Semi Annual CI, The Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually, and is calculated using the final amount and semi-annual rate of Compound Interest. Time Period of Semi Annual CI is denoted by t_{Semi Annual} symbol.

How to calculate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate using this online calculator? To use this online calculator for Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate, enter Semi Annual Rate of Compound Interest (r_{Semi Annual}), Final Amount of Semi Annual CI (A_{Semi Annual}) & Principal Amount of Semi Annual CI (P_{Semi Annual}) and hit the calculate button. Here is how the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate calculation can be explained with given input values -> 4.8E-8 = 1/2*log((1+10/100),13310/10000).

FAQ

What is Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?

The Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually, and is calculated using the final amount and semi-annual rate of Compound Interest and is represented as t_{Semi Annual} = 1/2*log((1+r_{Semi Annual}/100),A_{Semi Annual}/P_{Semi Annual}) or Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI). The Semi Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded semi-annually, Final Amount of Semi Annual CI is the total amount received/paid back, including the amount invested/ borrowed initially, and interest on it for given time at fixed rate compounded semi-annually & 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.

How to calculate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?

The Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded semi-annually, and is calculated using the final amount and semi-annual rate of Compound Interest is calculated using Time Period of Semi Annual CI = 1/2*log((1+Semi Annual Rate of Compound Interest/100),Final Amount of Semi Annual CI/Principal Amount of Semi Annual CI). To calculate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate, you need Semi Annual Rate of Compound Interest (r_{Semi Annual}), Final Amount of Semi Annual CI (A_{Semi Annual}) & Principal Amount of Semi Annual CI (P_{Semi Annual}). With our tool, you need to enter the respective value for Semi Annual Rate of Compound Interest, Final Amount of Semi Annual CI & Principal Amount 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 Time Period of Semi Annual CI?

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

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

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