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Future Value of Annuity with Continuous Compounding Formula

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FV of Annuity with Continuous Compounding refers to the total value accrued from regular payments compounded continuously over a specified time period. Check FAQs

FV ACC = C f \cdot (\frac{e^{r \cdot n Periods} - 1}{e^{r} - 1})

FV_ACC - FV of Annuity with Continuous Compounding?C_f - Cashflow per Period?r - Rate per Period?n_Periods - Number of Periods?

Future Value of Annuity with Continuous Compounding Example

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Here is how the Future Value of Annuity with Continuous Compounding equation looks like with Values.

Here is how the Future Value of Annuity with Continuous Compounding equation looks like with Units.

Here is how the Future Value of Annuity with Continuous Compounding equation looks like.

3076.9066 = 1500 \cdot (\frac{e^{0.05 \cdot 2} - 1}{e^{0.05} - 1})

3076.9066 = 1500 \cdot (\frac{e^{0.05 \cdot 2} - 1}{e^{0.05} - 1})

3076.9066 = 1500 \cdot (\frac{e^{0.05 \cdot 2} - 1}{e^{0.05} - 1})

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Future Value of Annuity with Continuous Compounding Solution

Follow our step by step solution on how to calculate Future Value of Annuity with Continuous Compounding?

FIRST Step Consider the formula

FV ACC = C f \cdot (\frac{e^{r \cdot n Periods} - 1}{e^{r} - 1})

Next Step Substitute values of Variables

∴

FV ACC = 1500 \cdot (\frac{e^{0.05 \cdot 2} - 1}{e^{0.05} - 1})

Next Step Prepare to Evaluate

∴

FV ACC = 1500 \cdot (\frac{e^{0.05 \cdot 2} - 1}{e^{0.05} - 1})

Next Step Evaluate

∴

FV ACC = 3076.90664456403

LAST Step Rounding Answer

∴

FV ACC = 3076.9066

Future Value of Annuity with Continuous Compounding Formula Elements

Variables

FV of Annuity with Continuous Compounding

FV of Annuity with Continuous Compounding refers to the total value accrued from regular payments compounded continuously over a specified time period.

Symbol: FV_ACC

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find FV of Annuity with Continuous Compounding

Cashflow per Period

Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cashflow per Period

Rate per Period

The Rate per Period is the interest rate charged.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate per Period

Number of Periods

The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

Symbol: n_Periods

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Periods

Other formulas in Future value category

Go Future Value of Annuity

FV A = (\frac{p}{IR \cdot 0.01}) \cdot ({(1 + (IR \cdot 0.01))}^{n Periods} - 1)

Go Future Value of Present Sum given Compounding Periods

FV = PV \cdot {(1 + (\frac{%RoR \cdot 0.01}{C n}))}^{C n \cdot n Periods}

Go Future Value of Present Sum given Total Number of Periods

FV = PV \cdot {(1 + (%RoR \cdot 0.01))}^{n Periods}

Go Future Value of Present Sum given Number of Periods

FV = PV \cdot \exp (%RoR \cdot n Periods \cdot 0.01)

How to Evaluate Future Value of Annuity with Continuous Compounding?

Future Value of Annuity with Continuous Compounding evaluator uses FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)) to evaluate the FV of Annuity with Continuous Compounding, The Future Value of Annuity with Continuous Compounding represents the total value of regular payments compounded continuously over a specific period at a given interest rate. FV of Annuity with Continuous Compounding is denoted by FV_ACC symbol.

How to evaluate Future Value of Annuity with Continuous Compounding using this online evaluator? To use this online evaluator for Future Value of Annuity with Continuous Compounding, enter Cashflow per Period (C_f), Rate per Period (r) & Number of Periods (n_Periods) and hit the calculate button.

FAQs on Future Value of Annuity with Continuous Compounding

What is the formula to find Future Value of Annuity with Continuous Compounding?

The formula of Future Value of Annuity with Continuous Compounding is expressed as FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)). Here is an example- 3076.907 = 1500*((e^(0.05*2)-1)/(e^(0.05)-1)).

How to calculate Future Value of Annuity with Continuous Compounding?

With Cashflow per Period (C_f), Rate per Period (r) & Number of Periods (n_Periods) we can find Future Value of Annuity with Continuous Compounding using the formula - FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1)).

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Future Value of Annuity with Continuous Compounding Formula

Future Value of Annuity with Continuous Compounding Example

Future Value of Annuity with Continuous Compounding Solution

Future Value of Annuity with Continuous Compounding Formula Elements

Other formulas in Future value category

How to Evaluate Future Value of Annuity with Continuous Compounding?

FAQs on Future Value of Annuity with Continuous Compounding

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