# A Feature Rich Loan Calculator

Calculating a loan payment amount with this calculator is very easy.

Here's all you need to do.

- Click clear and enter values for:
- Loan Amount
- Number of Payments (term)
- Annual Interest Rate

- Leave Loan Payment Amount set to 0.
- Click either
**"Calc"**or**"Payment Schedule."**

You can leave the other dozen or so options untouched unless you have a specific reason for changing them.

### Info...

Click, copy, paste this URL to save the inputs for yourself or to share the calculation.

This custom URL updates when you click the "Calc", "Clear" or "Schedule" buttons. Paste it into a browser's address bar to reload.

### Always enter (and reenter) a 0 for the unknown value.

Note - You __must__ enter a zero if you want a value calculated.

Why not design the calculator to recalculate the last unknown?

Because we want the calculator to be able to create a payment schedule using the loan terms you need. *This behavior is a feature!* After all, there is no such thing as a "correct" loan payment. The payment amount is correct as long as both the lender and debtor agree to it! (If the calculator always recalculated the last unknown, then this feature would not be possible.)

### About the loan origination date (start date) and first payment date.

Important - The first loan payment period is seldom equal to the frequency of other schedule payments. That is, if a loan's payment schedule is monthly, the time from when the loan originates (when the borrower receives the money) until the day the first payment is due will likely not equal one month. The first period will typically be either longer or short than a month.

A longer or shorter first period impacts the interest calculation.

Very few (if any?) online calculators can correctly handle this detail. But if you want accurate interest and payment calculations, you need to be able to independently set the loan origination date and the first payment due date. You can do that on the "Options" tab of this calculator.

Warning - Selecting dates will result in payment amounts as well as interest charges that do not match other calculators.

That's the point!

If you want to match other calculators, then set the "Loan Date" and "First Payment Due" so that the time between them equals one full period as set in "Payment Frequency." Example: If the "Loan Date" is May 15th and the "Payment Frequency" is "Monthly," then the "First Payment Due" should be set to June 15th, that is __IF__ you want a conventional interest calculation.

See "Long Period Options" and "Short Period Options" below for additional details about payment amounts and interest calculations.

Yet keeping it simple - if you only need estimates and not absolute accuracy, you can always leave the dates set as they are when the calculator loads.

## Much More Than a Payment Calculator

### The four values you'll need to set:

- the principal amount borrowed. It does not include interest.*Loan Amount*- the "Payment Frequency" setting impacts the loan's term. For a loan term of five years, if the payment frequency is monthly, you need to enter 60 for the number of payments. (60 months = 5 years)*Number of Payments (term)*- the nominal interest rate. This the quoted interest rate for the loan. (If the lender is quoting anything other than an annual interest rate, you probably should avoid the loan.)*Annual Interest Rate*- the amount that is due on each payment due date.*Payment Amount*

**Set one of the above to 0 if unknown.**

*How much can I borrow?*

- set the loan amount to "0" (zero)
- enter the number of payments
- enter the annual interest rate, and
- enter the desired or expected payment amount
- calculate

*How long will it take to pay a loan off?*

- enter the loan amount
- set the number of payments to "0" (zero)
- enter the annual interest rate, and
- enter the desired or expected payment amount
- calculate

*What interest rate allows me to pay $350 a month?*

- enter the loan amount
- enter the number of payments
- set the annual interest rate to "0" (zero), and
- enter $350 for the payment amount
- calculate.

### Three loan options you most likely don't need to touch.

*Payment Frequency*- set how often payments are scheduled. The calculator supports 11 options, including biweekly (every other week), monthly, and annually. The schedule calculates payment due dates from the first payment due date.*Compounding*- usually, you should set the compounding frequency to be the same as the payment frequency. Doing so results in simple, periodic interest. Setting this option to "Exact/Simple" results in simple, exact day interest.*Amortization Method*- leave this setting set to "normal" unless you have a specific reason for setting it otherwise. For a complete explanation of these options, see Nine Loan Amortization Methods.

### Results - your loan summary

*Total Interest*- assuming the debtor makes the payments as scheduled, this is the interest they will pay over the term of the loan.*Total Prepaid Principal*- this is the total of any extra payments. Note, the total interest saved is reported on the payment schedule.*Total Principal & Interest*- the loan amount plus the total interest paid. Thus the total amount you'll pay for the loan.

### Eleven loan options you may want to tweak.

*Loan Date*- the date the money is available. If the loan is for a vehicle or home, it is the loan's closing date.*First Payment Due*- for leases, it may be the same as the loan date. See "About the loan origination date (start date) and first payment date" above.*Extra Payment Amount*- want to make a single extra payment or series of additional payments? Enter the amount here.*Extra Payments Start*- enter the date you want extra payments to start. The date does not have to align with payment due dates. If you pay a loan monthly and payments are due on the first, you may want to make extra payments on the 15th to align with your pay periods.*Extra Payment Frequency*- set how frequently you'll make additional payments. Want to make extra payments annually when you receive a year-end bonus? This calculator will accommodate such a plan.*Number of Extra Pmts*- enter one or any integer value. If you want to make the extra payments until you pay off the loan, enter "U" for "Unknown."*Days Per Year*- 360/365 days per year option. This setting impacts interest calculations when you set compounding frequency to a day based frequency (daily, exact/simple or continuous)**or**when there are odd days caused by an initial irregular length period.*Rounding Options*- due to payment and interest rounding each pay period (for example, payment or interest might calculate to 345.0457, but a schedule will round the value to 345.05), almost all loan schedules need a final rounding adjustment to bring the balance to "0". A footnote on the payment schedule informs you of the rounding amount.*Long Period Options (odd day interest)*- setting for how interest is shown on the schedule when the initial period is longer than the selected payment frequency.*Short Period Options*- setting for how payments get adjusted when the initial period is shorter than the selected payment frequency.*Fiscal Year-End*- this setting establishes after what month the calculator shows year-end and running totals. This option is to accommodate businesses with fiscal year ends that do not coincide with the calendar year-end.

More details about the settings for odd day and irregular period interest.

### Wrapping Up

On a more general note, I have been discussing with users, details about loans, some structured with unusual features, over several decades. At this point, I believe the loan calculators on this site can create schedules for any **structured settlement loan** that exists. If you have a loan with special requirements, please ask.

## Loan Calculator Help...

This calculator will solve for any one of four possible unknowns: "Amount of Loan", "Total Scheduled Periods" (term), "Annual Interest Rate" or the "Periodic Payment".

Enter a '0' (zero) for one unknown value.

The term (duration) of the loan is a function of the "Total Scheduled Periods" and the "Payment Frequency". If the loan is calling for monthly payments and the term is four years, then enter 48 for the "Total Scheduled Periods". If the payments are made quarterly and the term is ten years, then enter 40 for the "Total Scheduled Periods".

The "Amortization Method" should be set to "Normal" (level payments) unless you have a specific reason to set it to another method. &Fixed Principal" causes the amount allocated to principal to be the same each period which result in decreasing payments.

If the terms of the loan call for a 0% interest rate, then the "Amortization Method" must be set to "No Interest," otherwise entering a zero for "Annual Interest Rate?" will cause the calculator to calculate an interest rate. Selecting "No Interest," also lets the user set the payment amount to "0" to tell the calculator to calculate it.

When the first period, the period of time between the "loan date" and the "first payment date" is longer than one full period, there will be interest due for the "extra days". This is known as "odd day interest." Example: if the "loan date" is March 24 and the "first payment date" is May 1, then there are 8 odd days of interest - March 24th to April 1st. How the odd day interest is calculated and collected is controlled with the "Long Period Options." By default, the odd days interest is shown being paid on the loan date.

Conversely, if the time between the "loan date" and "first payment date" is less than the payment period set, then the first period is said to be a "short initial period" and the first payment will be reduced due to less interest being owed. How the payment amount and interest is calculated for a short period is determined by the "Short Period Options."

## RonApplewood says:

Understanding you don’t want to get into formulas, can you explain a bit more about long period interest?

For example, $300k loan with first payment due 105 days after loan origination date. I was advised to take the $300k*interest rate(2.05%)*105/365 and that would be the amount of interest I need to pay at closing/loan origination.

The calculator gives a different (lower value). What concept am I missing here?

## Karl says:

A long period includes one period, plus odd days.

## Ron Applewood says:

Yeah I understand that, Karl. How do you go about calculating it?

It is clearly not as simple as I described above. Can you please elaborate so I have a more firm understanding of how you arrive at your value.

## Karl says:

In that case, I can’t figure out why you are calculating interest for 105 days. Where are you allowing for the full period? Study the schedules and you should be able to see what I mean if this isn’t clear. As you noted, I can’t really get into the weeds and explain calculations. I work fulltime (not on this site) and if I answer questions beyond what calculator to use and how to use a calculator, I wouldn’t have any time left to develop the site.

## Ron Applewood says:

Ahh, I figured out the difference. I was calculating interest for a month that will be covered in the first payment since interest is paid in arrears. My numbers now match yours and I have a better overall understanding.

## Karl says:

Great! Glad to hear it. That’s what I meant by "A long period includes one period, plus odd days." 🙂

## Jake says:

Hello?

Is there any way to translate from English to Japanese?

## Karl says:

Are you asking if I can translate it? I can’t. If you know Japanese and want to do the translation, I’ll host a translated version.

You can contact me via the email address on the contact page.

## jake says:

Thank you for your reply.

I would like to translate both

One is for Japanese

The other is for Korean

May I do it?

## Karl says:

Yes, let’s give it a try. First, please translate the text adjacent to each input and then I’ll see if I can get the layout created.

## Alex says:

Hello,

I don’t really understand how come the accrued interest is paid separately if it should be part of the monthly installments. Please advise!

## Karl says:

Are you talking about the accrued interest from an initial long period?

The user has complete control over how this interest is collected (it can even be ignored).

See "Long Period Options?:" on the options tab.

And the text on this page for some details or all about loan amortization for even more information.

If this is not the interest you are asking about, please provide more details.

## Christine says:

The number of payments is maxed out at 999. I’m salaried, but I still get paid weekly (which is odd, but awesome), wanted to make some projections as to the impact of paying a 20 year mortgage loan with weekly payments (or 1040 payments) and ran into this limiter.

Thanks.

## Karl says:

Yes, I see. The next time I release an update, I’ll test it with a larger maximum number of payments.

There is a way around this though. See this calculator. Scroll down the page and see tutorial #1 which covers calculating an unknown payment amount. YOu’ll still be limited to 999, but what you can do is create 2 payment streams, one after the other of say 520 payments each. The results will be correct as if you set it up with one stream of 1040 weekly payments. Try it out. I think you’ll see what I mean. If not, just ask.