# View Source Money.Financial (Money v5.11.0)

A set of financial functions, primarily related to discounted cash flows.

Some of the algorithms are from finance formulas

# Link to this section Summary

## Functions

Calculates the future value for a list of cash flows and an interest rate.

Calculates the future value for a present value, an interest rate and a number of periods.

Calculates the effective interest rate for a given present value, a future value and a number of periods.

Calculates the interal rate of return for a given list of cash flows.

Calculates the net present value of an initial investment, a list of cash flows and an interest rate.

Calculates the net present value of an initial investment, a recurring payment, an interest rate and a number of periods

Calculates the payment for a given loan or annuity given a present value, an interest rate and a number of periods.

Calculates the number of periods between a present value and a future value with a given interest rate.

Calculates the present value for a list of cash flows and an interest rate.

Calculates the present value for future value, an interest rate and a number of periods

# Link to this section Functions

Calculates the future value for a list of cash flows and an interest rate.

`flows`

is a list of tuples representing a cash flow. Each flow is represented as a tuple of the form`{period, %Money{}}`

`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

##
example

Example

```
iex> Money.Financial.future_value([{4, Money.new(:USD, 10000)}, {5, Money.new(:USD, 10000)}, {6, Money.new(:USD, 10000)}], 0.13)
Money.new(:USD, "34068.99999999999999999999999")
iex> Money.Financial.future_value [{0, Money.new(:USD, 5000)},{1, Money.new(:USD, 2000)}], 0.12
Money.new(:USD, "7600.000000000000000000000000")
```

Calculates the future value for a present value, an interest rate and a number of periods.

`present_value`

is a %Money{} representation of the present value`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

`periods`

in an integer number of periods

##
examples

Examples

```
iex> Money.Financial.future_value Money.new(:USD, 10000), 0.08, 1
Money.new(:USD, "10800.00")
iex> Money.Financial.future_value Money.new(:USD, 10000), 0.04, 2
Money.new(:USD, "10816.0000")
iex> Money.Financial.future_value Money.new(:USD, 10000), 0.02, 4
Money.new(:USD, "10824.32160000")
```

Calculates the effective interest rate for a given present value, a future value and a number of periods.

`present_value`

is a %Money{} representation of the present value`future_value`

is a %Money{} representation of the future value`periods`

is an integer number of a period

##
examples

Examples

```
iex> Money.Financial.interest_rate Money.new(:USD, 10000), Money.new(:USD, 10816), 2
#Decimal<0.04>
iex> Money.Financial.interest_rate Money.new(:USD, 10000), Money.new(:USD, "10824.3216"), 4
#Decimal<0.02>
```

Calculates the interal rate of return for a given list of cash flows.

`flows`

is a list of tuples representing a cash flow. Each flow is represented as a tuple of the form`{period, %Money{}}`

Calculates the net present value of an initial investment, a list of cash flows and an interest rate.

`flows`

is a list of tuples representing a cash flow. Each flow is represented as a tuple of the form`{period, %Money{}}`

`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

`investment`

is a %Money{} struct representing the initial investment

##
example

Example

```
iex> flows = [{0, Money.new(:USD, 5000)},{1, Money.new(:USD, 2000)},{2, Money.new(:USD, 500)},{3, Money.new(:USD,10_000)}]
iex> Money.Financial.net_present_value flows, 0.08, Money.new(:USD, 100)
Money.new(:USD, "15118.84367220444038002337042")
iex> Money.Financial.net_present_value flows, 0.08
Money.new(:USD, "15218.84367220444038002337042")
```

@spec net_present_value([{integer(), Money.t()}], number(), Money.t()) :: Money.t()

@spec net_present_value(Money.t(), number(), number()) :: Money.t()

Calculates the net present value of an initial investment, a recurring payment, an interest rate and a number of periods

`investment`

is a %Money{} struct representing the initial investment`future_value`

is a %Money{} representation of the future value`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

`periods`

in an integer number of a period

##
example

Example

```
iex> Money.Financial.net_present_value Money.new(:USD, 10000), 0.13, 2
Money.new(:USD, "7831.466833737959119743127888")
iex> Money.Financial.net_present_value Money.new(:USD, 10000), 0.13, 2, Money.new(:USD, 100)
Money.new(:USD, "7731.466833737959119743127888")
```

# net_present_value(future_value, interest_rate, periods, investment)

View SourceCalculates the payment for a given loan or annuity given a present value, an interest rate and a number of periods.

`present_value`

is a %Money{} representation of the present value`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

`periods`

is an integer number of periods

##
example

Example

```
iex> Money.Financial.payment Money.new(:USD, 100), 0.12, 20
Money.new(:USD, "13.38787800396606622792492299")
```

Calculates the number of periods between a present value and a future value with a given interest rate.

`present_value`

is a %Money{} representation of the present value`future_value`

is a %Money{} representation of the future value`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

##
example

Example

```
iex> Money.Financial.periods Money.new(:USD, 1500), Money.new(:USD, 2000), 0.005
#Decimal<57.68013595323872502502238648>
```

Calculates the present value for a list of cash flows and an interest rate.

`flows`

is a list of tuples representing a cash flow. Each flow is represented as a tuple of the form`{period, %Money{}}`

`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

##
example

Example

```
iex> Money.Financial.present_value([{4, Money.new(:USD, 10000)}, {5, Money.new(:USD, 10000)}, {6, Money.new(:USD, 10000)}], 0.13)
Money.new(:USD, "16363.97191111964880256655144")
iex> Money.Financial.present_value [{0, Money.new(:USD, -1000)},{1, Money.new(:USD, -4000)}], 0.1
Money.new(:USD, "-4636.363636363636363636363636")
```

Calculates the present value for future value, an interest rate and a number of periods

`future_value`

is a %Money{} representation of the future value`interest_rate`

is a float representation of an interest rate. For example, 12% would be represented as`0.12`

`periods`

in an integer number of periods

##
examples

Examples

```
iex> Money.Financial.present_value Money.new(:USD, 100), 0.08, 2
Money.new(:USD, "85.73388203017832647462277092")
iex> Money.Financial.present_value Money.new(:USD, 1000), 0.10, 20
Money.new(:USD, "148.6436280241436864020760472")
```