Calculate Chakriya Byaj (compound interest) for a loan or deposit using your money-taken date, money-returned date, principal, and monthly interest rate. You can enter dates in either Bikram Sambat (BS) or Gregorian (AD) and get the total amount, interest, and duration.
This free online Nepali Byaj Calculator lets you calculate Chakriya Byaj (चक्रीय ब्याज निकाल्नुहोस्) instantly from any mobile or desktop browser, no app download required.
The calculator uses NPR for the principal and calculates the interest from the dates and monthly rate you enter.
How to Use this Chakriya Byaj Calculator
- Choose the date format: Select BS Date or AD Date.
- Enter the Money Taken date: Select the year, month, and day when you received or lent the money.
- Enter the Money Returned date: Select the year, month, and day when the money is due or returned.
- Enter the Principal: Enter the original amount in NPR.
- Enter the Rate: Enter the monthly interest rate as a percentage. For example, enter
1for 1% per month. - Select Calculate.
- Check the Total Amount, Principal, Interest, and Duration shown in the result.
- Use Copy Result or Print if you need to save the calculation.
The tool supports both BS and AD date input and automatically handles the corresponding date conversion.
What is Chakriya Byaj (चक्रीय ब्याज भनेको के हो)?
Chakriya Byaj (चक्रिय ब्याज) means compound interest. The interest is added to the amount, and the resulting amount is used for later interest calculations.
For example, if the principal is NPR 100,000 and the calculated interest is added to the principal, the next calculation works from the increased amount rather than only the original NPR 100,000.
This is different from Sadharan Byaj (साधारण ब्याज, simple interest), where interest is calculated on the original principal.
How the Chakriya Byaj calculation works
This calculator follows a specific method for calculating interest from the dates you enter:
- The monthly rate is converted to an annual rate by multiplying it by 12.
- Each complete year is compounded using that annual rate.
- The remaining months and days are calculated as simple interest on the amount after the complete years.
- Each month is treated as 30 days, making a year 360 days for the remaining-period calculation.
This gives you a calculation based on the duration between the money-taken and money-returned dates rather than requiring you to enter the number of years manually.
Duration calculation
The calculator finds the difference between the two dates in years, months, and days.
For the calculation, each month contains 30 days. If the day difference is negative, 30 days are borrowed from the month. If the month difference is negative, 12 months are borrowed from the year.
For example, a duration can be displayed as:
1 Year, 1 Month, 14 Days
The remaining period is then converted into days using:
Remaining Days = (Months × 30) + Days
Chakriya Byaj formula
The calculator first converts the monthly rate into an annual rate:
Annual Rate = Monthly Rate × 12
For the complete years, the amount is compounded annually:
A = P × (1 + r/100)ᵞ
Where:
- A = amount after complete years
- P = principal
- r = annual interest rate
- y = number of complete years
For the remaining months and days, the calculator uses:
Remaining Interest = A × (Remaining Days / 360) × (r / 100)
The final amount is:
Total Amount = A + Remaining Interest
And:
Total Interest = Total Amount − Principal
The annual rate used here comes from the monthly rate entered in the calculator, so a monthly rate of 1% becomes a 12% annual rate for the complete-year calculation.
Chakriya Byaj calculation example
Suppose you enter:
| Input | Value |
|---|---|
| Principal | NPR 50,000 |
| Monthly rate | 1% |
| Duration | 1 year, 1 month, 14 days |
The calculator converts the monthly rate to a 12% annual rate. It compounds the principal for the complete year, then calculates interest for the remaining 1 month and 14 days using the 30-day-month and 360-day-year method.
The result is:
| Result | Amount |
|---|---|
| Principal | NPR 50,000.00 |
| Interest | NPR 6,821.33 |
| Total Amount | NPR 56,821.33 |
| Duration | 1 Year, 1 Month, 14 Days |
These figures match the verified calculation for the calculator's method.
BS and AD date support
You can calculate Chakriya Byaj using either Bikram Sambat (BS) or Gregorian (AD) dates.
The calculator supports:
- BS dates: 2000 BS onward within its supported date data
- AD dates: 1943 AD onward
- Automatic conversion between BS and AD for the calculation
- Date selection based on the valid days in the selected month and year
If you need to convert a Nepali date separately, you can also use the SajiloX Nepali Date Converter before entering your dates.
What the calculator results mean
Total Amount: The principal plus the calculated Chakriya Byaj.
Principal: The original amount you entered.
Interest: The total Chakriya Byaj calculated on the principal.
Duration: The time between the money-taken and money-returned dates, shown in years, months, and days.
Calculation Details: Shows the selected dates and the interest rate used for the calculation.
Chakriya Byaj vs Sadharan Byaj (Compound vs Simple Interest)
| Chakriya Byaj (चक्रिय ब्याज) | Sadharan Byaj (साधारण ब्याज) |
|---|---|
| Compound interest | Simple interest |
| Interest can increase the amount used for later calculations | Interest is calculated on the original principal |
| Calculation depends on the compounding method | Calculation uses the original principal |
| Commonly called compound interest in English | Commonly called simple interest in English |
Sadharan Byaj formula (साधारण ब्याज का formula)
Unlike Chakriya Byaj, Sadharan Byaj (simple interest) is calculated only on the original principal for the whole duration. The exact formula is:
Sadharan Byaj = P × (r / 100) × t
Where:
- P = principal (मूलधन)
- r = annual interest rate
- t = time in years
For example, with the same inputs as above (NPR 50,000, 1% per month = 12% per year, for 1 year 1 month 14 days), the Sadharan Byaj is NPR 6,733.33 (total NPR 56,733.33). That is slightly less than the Chakriya Byaj result of NPR 6,821.33, because simple interest does not earn interest on previously accrued interest. Use this sadharan byaj calculator logic when your loan or deposit uses simple interest instead of compound interest.
If you need to calculate compound interest from a loan or deposit period, use the Chakriya Byaj Calculator above and enter the actual dates and monthly rate.
Web-Based Chakriya Byaj Nepali App (No APK Download Needed)
Looking for a chakriya byaj app download for Android or iOS?You do not need to download a separate APK file or install third-party software. This web tool works directly in any mobile browser (Chrome, Safari). Tap "Add to Home Screen" on your mobile browser to use it just like a native app without using phone storage or granting permissions.