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Future Value of Ordinary Annuities and Sinking Funds Formula

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Future Value of Ordinary Annuity refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time. Check FAQs

FV O = C f \cdot \frac{{(1 + r)}^{n c} - 1}{r}

FV_O - Future Value of Ordinary Annuity?C_f - Cashflow per Period?r - Rate per Period?n_c - Total Number of Times Compounded?

Future Value of Ordinary Annuities and Sinking Funds Example

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Here is how the Future Value of Ordinary Annuities and Sinking Funds equation looks like with Values.

Here is how the Future Value of Ordinary Annuities and Sinking Funds equation looks like with Units.

Here is how the Future Value of Ordinary Annuities and Sinking Funds equation looks like.

29397.948 = 1500 \cdot \frac{{(1 + 0.05)}^{14} - 1}{0.05}

29397.948 = 1500 \cdot \frac{{(1 + 0.05)}^{14} - 1}{0.05}

29397.948 = 1500 \cdot \frac{{(1 + 0.05)}^{14} - 1}{0.05}

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Future Value of Ordinary Annuities and Sinking Funds Solution

Follow our step by step solution on how to calculate Future Value of Ordinary Annuities and Sinking Funds?

FIRST Step Consider the formula

FV O = C f \cdot \frac{{(1 + r)}^{n c} - 1}{r}

Next Step Substitute values of Variables

∴

FV O = 1500 \cdot \frac{{(1 + 0.05)}^{14} - 1}{0.05}

Next Step Prepare to Evaluate

∴

FV O = 1500 \cdot \frac{{(1 + 0.05)}^{14} - 1}{0.05}

Next Step Evaluate

∴

FV O = 29397.947983182

LAST Step Rounding Answer

∴

FV O = 29397.948

Future Value of Ordinary Annuities and Sinking Funds Formula Elements

Variables

Future Value of Ordinary Annuity

Future Value of Ordinary Annuity refers to the value that a series of equal periodic payments or receipts will grow to at a future point in time.

Symbol: FV_O

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Future Value of Ordinary Annuity

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

Total Number of Times Compounded

Total Number of Times Compounded refers to the frequency with which interest is calculated and added to the principal amount in a compounding interest scenario.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Number of Times Compounded

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 Ordinary Annuities and Sinking Funds?

Future Value of Ordinary Annuities and Sinking Funds evaluator uses Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period to evaluate the Future Value of Ordinary Annuity, The Future Value of Ordinary Annuities and Sinking Funds formula is defined as the value that a series of equal periodic payments or receipts will grow to at a future point in time, assuming a certain interest rate or rate of return. Future Value of Ordinary Annuity is denoted by FV_O symbol.

How to evaluate Future Value of Ordinary Annuities and Sinking Funds using this online evaluator? To use this online evaluator for Future Value of Ordinary Annuities and Sinking Funds, enter Cashflow per Period (C_f), Rate per Period (r) & Total Number of Times Compounded (n_c) and hit the calculate button.

FAQs on Future Value of Ordinary Annuities and Sinking Funds

What is the formula to find Future Value of Ordinary Annuities and Sinking Funds?

The formula of Future Value of Ordinary Annuities and Sinking Funds is expressed as Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period. Here is an example- 29397.95 = 1500*((1+0.05)^(14)-1)/0.05.

How to calculate Future Value of Ordinary Annuities and Sinking Funds?

With Cashflow per Period (C_f), Rate per Period (r) & Total Number of Times Compounded (n_c) we can find Future Value of Ordinary Annuities and Sinking Funds using the formula - Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period.

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Future Value of Ordinary Annuities and Sinking Funds Formula

Future Value of Ordinary Annuities and Sinking Funds Example

Future Value of Ordinary Annuities and Sinking Funds Solution

Future Value of Ordinary Annuities and Sinking Funds Formula Elements

Other formulas in Future value category

How to Evaluate Future Value of Ordinary Annuities and Sinking Funds?

FAQs on Future Value of Ordinary Annuities and Sinking Funds

Variable Name