# CUMPRINC

The CUMPRINC function returns cumulative principal paid on a loan between two periods.

### Syntax

CUMPRINC (Rate, Nper, PV, start\_period, end\_period, Type) - > Number 

### Arguments

<table><thead><tr><th width="141">Arguments</th><th width="138">Datatype</th><th>Description</th></tr></thead><tbody><tr><td>Rate</td><td>Number, Rate</td><td>The interest rate per period.</td></tr><tr><td>Nper</td><td>Number</td><td>The total number of periods.</td></tr><tr><td>PV</td><td>Number</td><td>The present value of the loan.</td></tr><tr><td>start_period</td><td>Number</td><td>The first payment period.</td></tr><tr><td>end_period</td><td>Number</td><td>The last payment period.</td></tr><tr><td>Type</td><td>Number</td><td>Indicates when the payments are made. Type is zero if payments are made at the end of the period and non-zero if payments are made at the start of the period.</td></tr></tbody></table>

### Example

Consider a $10,000 loan at an annual rate of 10% that is to be paid off in 1.5 years. All payments are made at the beginning of the month. Calculate cumulative principal payments for all the periods.

<table><thead><tr><th width="202">Periods</th><th width="89">1</th><th width="64">2</th><th width="64">3</th><th width="64">4</th><th width="64">5</th><th width="64">6</th><th width="64">7</th><th width="64">8</th><th width="64">9</th><th width="64">10</th><th width="64">11</th><th width="64">12</th><th width="64">13</th><th width="64">14</th><th width="64">15</th><th width="64">16</th><th width="64">17</th><th width="64">18</th></tr></thead><tbody><tr><td><mark style="color:purple;">Nper</mark></td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td><td>18</td></tr><tr><td><mark style="color:red;">Loan Amount</mark></td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td><td>10000</td></tr><tr><td>Start Period</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td></tr><tr><td><mark style="color:green;">End Period</mark></td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td><td>8</td><td>9</td><td>10</td><td>11</td><td>12</td><td>13</td><td>14</td><td>15</td><td>16</td><td>17</td><td>18</td></tr><tr><td>Payments Type</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td></tr></tbody></table>

To calculate the principal payment for all periods, the formula should be written in the \[Cumulative Principal Payments] node:

<mark style="color:blue;">**`CUMPRINC`**</mark>**`(10%/12,`**<mark style="color:purple;">**`[Nper]`**</mark>**`,`**<mark style="color:red;">**`[Loan Amount]`**</mark>**`,1,`**<mark style="color:green;">**`[End Period]`**</mark>**`,1)`**

### Result

<table data-header-hidden><thead><tr><th width="202">Column1</th><th width="89">Column2</th><th width="75">Column3</th><th width="75">Column4</th><th width="75">Column5</th><th width="75">Column6</th><th width="75">Column7</th><th width="75">Column8</th><th width="75">Column9</th><th width="83">Column10</th><th width="83">Column11</th><th width="83">Column12</th><th width="83">Column13</th><th width="83">Column14</th><th width="83">Column15</th><th width="83">Column16</th><th width="83">Column17</th><th width="83">Column18</th><th width="83">Column19</th></tr></thead><tbody><tr><td>Cumulative Principal Payments</td><td>-595.607405</td><td>-1112.8449</td><td>-1634.3927</td><td>-2160.2867</td><td>-2690.5631</td><td>-3225.2586</td><td>-3764.4098</td><td>-4308.0539</td><td>-4856.22845</td><td>-5408.9711</td><td>-5966.31993</td><td>-6528.31333</td><td>-7094.99001</td><td>-7666.389</td><td>-8242.54965</td><td>-8823.51163</td><td>-9409.31497</td><td>-10000</td></tr></tbody></table>


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://docs.valq.com/model/formula-functions/finance-functions/cumprinc.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.