## What is Daily Compound Interest?

Daily compounded interest is daily compounding of interest which means interest is accumulated on daily basis and it is calculated by charging interest on principal plus interest earned on a daily basis and interest compounded on daily basis will be higher than interest compounded on monthly/quarterly basis due to high frequency of compounding.

In daily compounding interest is charged both on the principal as well as the accumulated interest. For the calculation of daily compounding, it is important to know the principal portion of the time frame and the annual interest charged by the lenders. This is mostly applicable in the case of credit cards. The higher the frequency the more the interest charged or paid on the principal. For example, the interest amount for daily compounding will be higher than the interest amount for quarterly compounding.

### Formula

**A=(P (1+r/n)^(nt)) – P**

Where

- A=Daily compound rate
- P=Principal amount
- R=Rate of interest
- N=Time period

Generally, when someone deposits money in the bank the bank pays interest to the investor in the form of quarterly interest. But when someone lends money from the banks the banks charge the interest from the person who has taken the loan in the form of daily compounding interest. This scenario is mostly applicable in the case of credit cards.

### Examples

#### Example #1

**Let us know to try to understand how to calculate daily compound interest with the help of an example. **

**A sum of $4000 is borrowed from the bank where the interest rate is 8% and the amount is borrowed for a period of 2 years. Let us find out how much will be daily compounded interest calculation by the bank on the loan provided.**

**Solution:**

Daily Compound Interest Calculation = ($4000(1+8/365)^(365*2))-$4000

**Daily Compound Interest** = **$693.96**

#### Example #2

Let us know to try to understand how to calculate daily compound interest with the help of another example. Daily compounding is practically applicable for credit card spending which is charged by the banks on the individuals who use credit cards. Credit cards generally have a cycle of 60 days during which time the bank does not charge any interest, but interest is charged when the interest does not pay back within 60 days. If a sum of $4000 is used using a credit card by an individual for its spending. And the interest rate is 15% per annum as the interest charged for a credit card is generally very high. And the amount is repaid by the individual after 120 days that is 60 days after the grace period is over. So the individual needs to pay the bank interest for 60 days and he is charged at a daily compounding rate of interest. Let us find out how much will be daily compounded interest calculation by the bank on the loan provided.

**Solution:**

= $4000(1+15/365)^(365*(12/60))-$4000

**Daily Compound Interest** = **$122**

#### Example #3

**Let us know to try to understand how to calculate daily compound interest with the help of another example. A sum of $35000 is borrowed from the bank as a car loan where the interest rate is 7% per annum and the amount is borrowed for a period of 5 years. Let us find out how much will be daily compounded interest calculation by the bank on the loan provided.**

**Solution:**

= ($35000(1+.07/365) ^ (365*5))-$35000

**Daily Compound Interest** = **$14,665.70**

### Relevance and Use

Generally, when someone deposits money in the bank the bank pays interest to the investor in the form of quarterly interest. But when someone lends money from the banks the banks charge the interest from the person who has taken the loan in the form of daily compounding interest. The higher the frequency the more the interest charged or paid on the principal. This is how the banks make their money on the differential of the interest.

You can download this Daily Compound Interest Formula Excel Template from here – Daily Compound Interest Formula Excel Template

### Recommended Articles

This has been a guide to Daily Compound Interest Formula. Here we discuss how to calculate daily compound interest using its formula along with examples and downloadable excel template. You can learn more about financial analysis from the following articles –

- Financial Analysis Types | Top 10 Best
- Financial Analysis | Top 15 Techniques
- Top 4 Most Common Financial Analysis Tools
- Compound Journal Entry | Definition
- Monthly Compound Interest Formula
- Formula of Compounded Annual Growth Rate
- Continuous Compounding Formula
- Simple Interest vs Compound Interest – Compare
- What is Simple Interest?

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