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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. Check FAQs
tSemi Annual=12⋅log((1+rSemi Annual100),ASemi AnnualPSemi Annual)
tSemi Annual - Time Period of Semi Annual CI?rSemi Annual - Semi Annual Rate of Compound Interest?ASemi Annual - Final Amount of Semi Annual CI?PSemi Annual - Principal Amount of Semi Annual CI?

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

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Here is how the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate equation looks like with Values.

Here is how the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate equation looks like with Units.

Here is how the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate equation looks like.

1.5Edit=12⋅log((1+10Edit100),13310Edit10000Edit)
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Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate Solution

Follow our step by step solution on how to calculate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?

FIRST Step Consider the formula
tSemi Annual=12⋅log((1+rSemi Annual100),ASemi AnnualPSemi Annual)
Next Step Substitute values of Variables
∴ tSemi Annual=12⋅log((1+10100),1331010000)
Next Step Prepare to Evaluate
∴ tSemi Annual=12⋅log((1+10100),1331010000)
Next Step Evaluate
∴tSemi Annual=47335427.9999999s
LAST Step Convert to Output's Unit
∴tSemi Annual=1.5Year

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

Variables
Functions
Time Period of Semi Annual CI
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.
Symbol: tSemi Annual
Measurement: TimeUnit: Year
Note: Value should be greater than 0.
Formulas to find Time Period of Semi Annual CIOpen Variable
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.
Symbol: rSemi Annual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Semi Annual Rate of Compound InterestOpen Variable
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.
Symbol: ASemi Annual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Final Amount of Semi Annual CIOpen Variable
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.
Symbol: PSemi Annual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Principal Amount of Semi Annual CIOpen Variable
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other Formulas to find Time Period of Semi Annual CI

​Go Time Period of Semi Annual Compound Interest given Semi Annual Rate
tSemi Annual=12⋅log((1+rSemi Annual100),CISemi AnnualPSemi Annual+1)
​Go Time Period of Semi Annual Compound Interest
tSemi Annual=12⋅log((1+rAnnual2⋅100),CISemi AnnualPSemi Annual+1)

How to Evaluate 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 evaluator 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 evaluate 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 tSemi Annual symbol.

How to evaluate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate using this online evaluator? To use this online evaluator for Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate, enter Semi Annual Rate of Compound Interest (rSemi Annual), Final Amount of Semi Annual CI (ASemi Annual) & Principal Amount of Semi Annual CI (PSemi Annual) and hit the calculate button.

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

What is the formula to find Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?
The formula of Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate is expressed as 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). Here is an example- 4.8E-8 = 1/2*log((1+10/100),13310/10000).
How to calculate Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate?
With Semi Annual Rate of Compound Interest (rSemi Annual), Final Amount of Semi Annual CI (ASemi Annual) & Principal Amount of Semi Annual CI (PSemi Annual) we can find Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate using the formula - 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). This formula also uses Logarithmic Inverse (log) function(s).
What are the other ways to Calculate Time Period of Semi Annual CI?
Here are the different ways to Calculate Time Period of Semi Annual CI-
  • 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)OpenImg
  • 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)OpenImg
Can the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate be negative?
No, the Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate, measured in Time cannot be negative.
Which unit is used to measure 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 is usually measured using the Year[Year] for Time. Second[Year], Millisecond[Year], Microsecond[Year] are the few other units in which Time Period of Semi Annual Compound Interest given Final Amount and Semi Annual Rate can be measured.
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