**Flat and reducing rate of interest calculator in Excel**

*“No Macro used. No installation is necessary. Just download and start using.” – Kawser Ahmed (Calculator Developer)*

Created using Excel 2016 version

**License:** Personal Use (Not for resale or distribution)

*Let us know (in the comment box) your criteria or the problems that you’re facing while using this template. We shall update the template.*

Many people fail to understand these two financial terms: **Flat Rate Interest** and **Reducing Balance Rate**.

When you’re dealing with your personal finance, it is not wise to be in dark. Not knowing general financial concepts can lead you to financial disasters. If you read this article, you will be clear about these two financial terms.

I will also provide you the **Flat and Reducing rate of interest calculator in Excel. **Using the calculator, you will be able to see which methods give you a better financial return.

Table of Contents

## What is the Flat Rate Interest?

**Flat Rate Interest = (Loan Amount x Number of Years x Annual Percentage Rate) / Total Number of Installments**

It is better to understand this definition with an example.

Suppose, you took a **loan of amount** $100,000 with an **annual percentage rate** (APR) 6%. You took the loan for 5 years and you have to pay the installment every month.

Your **Flat Rate Interest** will be:

($100,000 x 5 x 6%) / 60

= $30,000 / 60

= $500

This is your interest that you will pay in every installment.

**Now let’s calculate your principal repayments.**

**Principal Repayment = Loan Amount / Total Number of Installments**

= $100,000 / 60

= $1,666.67

So, your total monthly payment will be: $500 + $1666.67 = $2166.67

You see the summary of the above calculation (using my **Flat Rate Interest Calculator**) in the following image. The calculator also shows the following things:

- Total Payments: $130,000
- Total Interest Paid: $30,000
- You will pay an overall 30% interest rate for the next 5 years. The rate is high, right?

## What is Reducing Rate of Interest?

This is a better approach when you will handle your loan.

And this is widely used by banks and financial institutions.

We will calculate the Reducing Rate of Interest using the above loan details.

- A
**loan of amount**$100,000 **Annual percentage rate**(APR) 6%**Tenure of the Loan:**5 years**Payment Frequency:**Monthly

If the **Payment Frequency** is **Monthly**, then at first, we have to calculate the **Rate** for a month:

= Annual Percentage Rate / 12

= 6% / 12

= 0.5%

= 0.005

Next thing is: we have to calculate monthly PMT for the **loan** using Excel’s **PMT** function:

**=PMT(rate,nper,-loan)**

Here,

**rate**= 0.005**nper**= 60; [**nper**= number of total periods]**-loan**= -100,000; [**loan**is negative as we want the PMT as a positive value]

It returns the value: $1933.28

Now let’s discuss how the whole thing works:

__1 ^{st} Month:__

At the start of the first month, you just took the loan. So, the balance $100,000.

At the end of the first month, you’re paying $1933.28 (PMT amount) to the financial intuition.

**How much of this amount ($1933.28) is paid to interest?**

Your first month interest is: $100,000 x 0.005 = $500.

So, $500 of the amount $1933.28 is provided as the interest payment.

The rest, $1933.28 – $500 = $1433.28, will be deducted from your principal.

So, at the end of the first month, your new principal will be: $100,000 – $1433.28 = $98,566.72

__2 ^{nd} Month:__

At the start of the 2^{nd} month, your new principal is: $98,566.72

At the end of the second month, you’re paying $1933.28 (PMT amount) to the financial intuition.

**How much of this amount ($1933.28) is paid to interest?**

Your second month interest is: $98566.72 x 0.005 = $492.83.

So, $492.83 of the amount $1933.28 is provided as the interest payment.

The rest, $1933.28 – $492.83 = $1440.45, will be deducted from your principal.

So, at the end of the second month, your new principal will be: $98566.72 – $1440.45 = $97126.27

This is how the whole process advances.

In the following images, you show the whole process.

You see from the following image that at the last payment, we pay only 9.62$ as the interest payment and we clear all our principal with the rest amount $1923.66. Our ending balance is 0.00. So that is our last payment to the financial institution.

You see the summary of the loan using the Reducing Rate of Interest.

**At the end of the day, we only pay 16% interest overall in this system. **

## How will you use this calculator?

It is very easy to use this calculator.

__Enter the following values to use this calculator:__

**Loan Amount****Annual Percentage Rate (APR)****Loan terms (Years)****Loan Date (mm/dd/yy)****Payment type**. It is a drop-down list. You will get two types of payments.**End of the Period**and**Beginning of the Period**. Choose one that suits your loan**Payment frequency:**It is also a drop-down list. You can choose payment frequencies:

Interest Compounded | Calculated After
(Days or Months) | No. of Payments/Year |

Weekly | 7 Days | 52 |

Bi-weekly | 14 Days | 26 |

Semi-monthly | 15 Days | 24 |

Monthly | 1 Month | 12 |

Bi-monthly | 2 Months | 6 |

Quarterly | 3 Months | 4 |

Semi-annually | 6 Months | 2 |

Yearly | 12 Months | 1 |

**Interest Compounding Frequency:**In most cases, your**Payment frequency**will be equal to**Interest Compounding Frequency**. In some countries, for example, Canada, Interest is compounded semi-annually but payment is done monthly. So, except in rare cases, your**Payment frequency**will be always equal to**Interest Compounding Frequency**.

There are no other values to input. The rest will be handled by the Calculator.

## Conclusion

So, it is clear that you will pay less interest in the Reducing Rate of Interest than the Flat Interest Rate. Always choose the method that costs you less. If you face any difficulties to use this calculator, let us know in the comment box.

such a great help in my work since i handled loan applications. how about the pro-rata interest ? example the loan is granted on the 10th of the month. how do i include in the calculator the pro-rata interest. the payment is always at the end of the month so how do i include the pro-rata days to include in the monthly payment