Calculate the periodic payment and cash flow for a financial scenario. Determine the amount to be paid or received at regular intervals.

Periodic Payment

Purpose

The Periodic Payment function calculates the regular payment amount that needs to be made at fixed intervals to achieve a specific future value, considering the present value, interest rate, and duration.

Use Cases

• Calculating monthly mortgage payments
• Planning for retirement savings with a specific future value in mind

How to Use

1. Enter the required values in the input fields provided.
2. Click on the "Calculate" button to get the result.

Input Values

1. Present Value: The current amount of money or investment.
2. Future Value: The desired amount of money or investment in the future.
3. Interest Rate: The annual interest rate for the investment.
4. Duration: The number of years for which the investment will be made.
5. Payment Interval: The frequency at which payments will be made (default unit is month).
6. Payment When: Specify when the payment will be made (default is at the beginning of the period).

Output Values

1. Periodic Payment: The amount that needs to be paid at regular intervals.
2. Cash Flow: The overall cash flow based on the calculated periodic payment.

Any other Instruction

• Ensure all input values are correctly entered to get accurate results.
• Review the calculated periodic payment and cash flow for financial planning.

Code Analysis

1. Calculate the number of periods based on the duration and payment interval.
2. Determine the interest rate per period.
3. Use the numpy financial library to calculate the periodic payment.
4. Return the absolute value of the periodic payment and the cash flow.

Technical Parameters

• present_value, pv_part, future_value, fv_part, interest_rate, duration, payment_interval, payment_when

Return Values

• Periodic Payment, Cash Flow

Example Expressions

You can use the following expressions to directly evaluate in a non-interactive manner using eval():

ppmt(100000.0, -1, 200000.0, 1, '6 pct/yr', '5 yr', 'mo', 1)
ppmt(150000.0, -1, 250000.0, 1, '4 pct/yr', '10 yr', 'yr', 1)

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