# Loan Comparison Calculator

Article byHarsh Katara
Reviewed byDheeraj Vaidya, CFA, FRM

## Loan Comparison Calculator

Loan Comparison Calculator can compare the installments paid periodically and further the total interest outgo on loan. Then a decision can be taken as to which loan terms and conditions should be opted for.

#### Loan Comparison Calculator

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

Wherein,
• 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
\$
%

### About the Loan Comparison Calculator

The formula for calculation of Loan Comparison is below for a minimum of two loans, and further, if there are more than the same formula can be used:

Loan I Computation

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

Loan II Computation

[P * R’ * (1+R’)N’]/[(1+R’)N’-1]

Now both loans will be compared,

Wherein,

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

The Loan Comparison Calculator can be used to compare loans across different interest rates and different tenures or even across a different financial institution, which shall aid the borrower to make a decision which shall be fruitful for him, for example, easy installments, lesser cash outflow in the form of interest, or extended installments, etc. as per his requirements.

Loans must be planned; otherwise, one would pay a higher interest rate, and even the installment amount would be huge. Therefore, comparing loans across is essential and then making a decision.

### How to Calculate using the Loan Comparison Calculator?

One needs to follow the below steps in order to calculate the monthly installment amounts.

1. First of all, determine the loan amount which needs to be borrowed. Banks usually provide more loan amounts to those with a good credit score and less to those with a lower credit score. First, we shall enter the principal amount: 2. Multiply the principal by a rate of interest for Loan I. 3. Now, we need to compound the same by rate until the loan period for Loan I. 4. We now need to discount the above result obtained in step 3 by the following: 5. After entering the above formula in excel, we shall obtain installments periodically for Loan I.

6. Repeat the same steps from 2 to 4 for Loan II if there are multiple loans.

7. Now, one can compare the interest outflow and thus then can make decisions accordingly if it’s solely based on interest outflow.

You can download this Loan Comparison Calculator Excel Template here – Loan Comparison Calculator Excel Template

### Examples

#### Example #1

Mr. A is working in a and is now looking to borrow money to purchase a house. He is currently perplexed about which bank he should borrow the money from. He has two options in hand; one is offered by ABHC bank, which is quoting him an 8.5% fixed rate of interest and the loan period will be 18 years, and another bank, KCKC bank, is charging an 8.25% fixed rate of interest and loan period will be 20 years and also the second bank would charge processing fee at the rate of 0.50% and has to be paid upfront whereas ABHC is charging no processing fees. Both banks are giving facilities to pay installments monthly.

You must compare the loans and advise where the loan should be taken from, provided he needs to borrow \$150,000.

Solution:

We need to calculate the Installment amount; the loan amount is \$150,000.

##### LOAN I

The number of periods it is required to be paid is 18 years. Still, since here Mr. A is going to pay monthly hence the number of payments that he shall be required to be paid is 18*12, which is 216 equally installments, and lastly, the rate of interest is 8.50% fixed, which shall be calculated monthly which is 8.50%/12 which is 0.71%.

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

Monthly Installment = [P * R * (1+R)N]/[(1+R)N-1]
• = [150,000 * 0.71% * (1 + 0.71%)^216 ] / [ (1 + 0.71%)^216 – 1 ]
• = \$1,358.19
###### Interest Flow

Interest outflow can be calculated by multiplying the installment amount by several periods and subtracting it from the loan amount.

• = \$ 1358.19 * 216- \$150,000.00
• =\$143,368.22
##### LOAN II

The number of periods it is required to be paid is 20 years. Still, since here Mr. A is going to pay monthly hence the number of payments that he shall be required to be paid is 20*12, which is 240 equally installments, and lastly, the rate of interest is 8.25% fixed, which shall be calculated monthly which is 8.25%/12 which is 0.69%.

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

Monthly Installment = [P * R’ * (1+R’)N’]/[(1+R’)N’-1]
• =[150,000 * 0.69% * (1 + 0.69%)^240 ] / [ (1 + 0.69%)^240 – 1 ]
• = \$1,278.10
###### Interest Flow
• = \$1278.10 * 240 – \$ 150000.00
• = \$ 156743.63

Now we can compare both the loans and figure out where the interest flow is more.

Even though at first instance, KCKC offers a lower rate, since it offers higher tenure, the borrower will end up paying more interest, and hence we have here only two options. Mr. A would prefer to take a loan from ABHC bank.

#### Example #2

There are two loan offers for a client per the below details:

The loan amount is the same, which is \$100,000. Based on the given information, you are required to compare the loans and advise the client as to which loan should be preferred, provided the client’s requirement is that the total cash outflow should be lower.

Solution:

We need to calculate the Installment amount; the loan amount is \$100,000.

##### LOAN I

The number of periods it is required to be paid in 10 years, but since here, the borrower is going to pay quarterly; hence the number of payments that he shall be required to be paid is 10*4, which is 40 equal installments, and lastly, the rate of interest is 15.00% fixed which shall be calculated quarterly which is 15%/4 which is 3.75%.

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

Monthly Installment = [P * R * (1+R)N]/[(1+R)N-1]
• = [100,000 * 3.75% * (1 + 3.75%)^40 ] / [ (1 + 3.75%)^40 – 1 ]
• = \$4,865.95
###### Interest Flow

Interest outflow can be calculated by multiplying the installment amount by the number of periods and then subtracting it from the loan amount.

• = \$4865.95 * 40 – \$100000.00
• = \$ 94637.83
##### LOAN II

The number of periods it is required to be paid in eight years. Still, since the borrower is going to pay on a semi-annual basis, the number of payments that he shall be required to be paid is 8*2, which is 16 equal installments. Lastly, the interest rate is 18% fixed, which shall be calculated semi-annually at 18%/2, which is 9.00%.

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

Monthly Installment = [P * R’ * (1+R’)N’]/[(1+R’)N’-1]
• = [100,000 * 9.00% * (1 + 9.00%)^16 ] / [ (1 + 9.00%)^16 – 1 ]
• = \$12,029.99
###### Interest Flow
• = \$ 12029.99 * 16 – \$100000.00
• = \$ 92479.86

Now we can compare both the loans and figure out where the interest flow is more.

Hence, from above, it can be said that Loan II should be preferred even though the interest rate is high since the total cash outflow is less.

### Conclusion

A loan comparison calculator can compare loans across tenure, banks, and interest rates, whichever meets the borrower’s requirement. Accordingly, the borrower will take a loan, whether it be less interest outflow, extended or lower installment, etc.

### Recommended Articles

This has been a guide to the Loan Comparison Calculator. Here we provide the calculator used to compare loans across tenure, banks, and rate of interest, whichever meets the borrower’s requirement, along with the examples. You may also take a look at the following useful articles –