Loan Repayment Calculator (Useful)

Loan Repayment Calculator can be used to calculate the repayment amount in the form of installment and what shall be the periodical installment amount in case the person borrows a loan from a financial institution.

About Loan Repayment Calculator

The formula for calculating Mortgage as per below:

Loan Repayment Calculator

[P * R * (1+R)^N]/[(1+R)^N-1]

  • P is the loan amount
  • R is the rate of interest per annum
  • N is the number of period or frequency wherein loan amount is to be paid

Wherein,

  • P is the loan amountR is the rate of interest per annumN is the number of periods or frequency wherein the loan amount is to be paid

The Loan Repayment Calculator can be used to calculate the monthly installment amount in case the repayment of the loan is to be paid monthly, or even quarterly or annually, depending upon the repayment schedule. This formula is almost equivalent to calculating the annuityTo Calculating The AnnuityAnnuity calculator can be used to calculate the series of regular payments which are to be received in future either at the end of the period or at the beginning of the period. The one which is to be received at the beginning of the period is called an annuity due and the one which is received at the end of the period is known as ordinary period.read more as well. Also, one needs to adjust the terms ‘R’ and ‘N’ in the above formula, i.e., if repayment is made monthly, then ‘R’ needs to be divided by 12, and ‘N’ needs to be multiplied by 12.

This formula can be used to derive only the standard fixed payment upon which the loan is taken. This calculator can calculate repayments for any loan, whether an auto, mortgage, consumer loanConsumer LoanA consumer loan is a type of credit given to a consumer to finance specified set of expenditures. The borrower must pledge a specific asset as collateral for the loan, or it may be unsecured depending on the loan’s monetary value.read more, or business loans.

How to Calculate using the Loan Repayment Calculator?

Loan Repayment Examples

Example #1

CC & C Inc. has been running a business for the last 50 years and is a well-established market firm. The directors have good relations with the bank they deal with and have created goodwillCreated GoodwillIn accounting, goodwill is an intangible asset that is generated when one company purchases another company for a price that is greater than the sum of the company’s net identifiable assets at the time of acquisition. It is determined by subtracting the fair value of the company’s net identifiable assets from the total purchase price.read more. After paying a one-time big dividend to their shareholders in the last quarter, they have now received one of the biggest orders, and to fulfill the same, they lack funds for CAPEXCapex.Capex or Capital Expenditure is the expense of the company’s total purchases of assets during a given period determined by adding the net increase in factory, property, equipment, and depreciation expense during a fiscal year.read more. They approach a bank for a term loan against their capital expenditure, and the machinery will be kept as security.

  • First of all, determine the loan amount which is borrowed. Banks usually provide more loans to those with a good credit score and fewer amounts to those with a lower credit score. First, we shall enter the principal amount. Multiply the principal by the rate of interest. We need to compound the same by rate until the loan period. We now need to discount the above result obtained in step 3 by the following: After entering the above formula in excel, we shall obtain installments periodically.

Banks have agreed on them to provide funds for $200,000 at an 11% rate of interest, and it shall be repaid quarterly. The loan has been taken for ten years. Based on the given information, you are required to calculate what shall be the installment amount for the quarterly repayments.

Solution:

We need to calculate the Installment amount; for that first, we shall calculate the loan amount, which is $200,000. The number of periods it is required to be paid is ten years, but since the firm will pay quarterly, the number of payments that he shall be required to be paid is 10*4, which is 40 equal installments. Lastly, the interest rate is 11% fixed, which shall be calculated quarterly, 11%/4, which is 2.75%.

Now we shall use the below formula to calculate the EMI amount.

  • = [200,000 * 2.75% * (1 + 2.75%)^40 ] / [ (1 + 2.75%)^40 – 1 ]= $8,306.30

Therefore, the installment amount for the firm for 10 years on the loan amount of $200,000 shall be $8,306.30

Example#2

Mr. Vivek has needed funds due to a family emergency, as there has been a medical situation in the family. The doctor quoted $85,800 as the total expenditure. Mr. Vivek didn’t have much savings, and medical insurance was covered to the tune of $20,000, and the rest had to be borne by Mr. Vivek.

Hence, Mr. Vivek approached the bank, and the bank was ready to give him a personal loan, which would charge a rate of interest of 17%; he agreed to the same, and his tenure will be 12 years. Based on the given information, you are required to calculate the monthly installment amount and the excess amount in the form of interest.

We need to calculate the EMI amount; for that, first, we shall calculate the loan amount, which is $85,800 less $20,000, which is $65,800. The number of periods it is required to be paid is 12 years, but since Mr. Vivek is going to pay monthly hence the number of payments that he shall be required to be paid is 12*12, which is 144 equal installments; lastly, the rate of interest is 17.00% fixed which shall be calculated monthly which is 17%/12 which is 1.42%.

  • = [65,800 * 1.42% * (1 + 1.42%)^144 ] / [ (1 + 1.42%)^144 – 1 ]= $1,073.81

Hence, the monthly installment amount for Mr. Vivek for his loan would be $1,073.81

Total Interest Outgo

  • = ($1,073.81 * 144) – $65,800= $88,827.96

Total interest outgo equals $88,827.96

Conclusion

This is a broader version of the loan calculator as it can be used to calculate the installment amount on any loan, whether it’s a business loan, mortgage loan, student loan, personal loan, or auto loan. As stated, this is a fixed interest loan calculator and cannot be useful when the interest changes between the lifetime of the loan tenure.

This has been a guide to the Loan Repayment Calculator. Here we provide you with the calculator used to calculate the loan repayment amount in installments, along with examples. You may also take a look at the following useful articles –

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