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Last active August 23, 2023 23:15
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CUMIPMT Function
// Copyright (c) 2012 Sutoiku, Inc. (MIT License)
// Some algorithms have been ported from Apache OpenOffice:
/**************************************************************
*
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing,
* software distributed under the License is distributed on an
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* KIND, either express or implied. See the License for the
* specific language governing permissions and limitations
* under the License.
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*************************************************************/
function CUMIPMT(rate, periods, value, start, end, type) {
// Credits: algorithm inspired by Apache OpenOffice
// Credits: Hannes Stiebitzhofer for the translations of function and variable names
// Requires getFutureValue() and getPartialPayment() from Formula.js [http://stoic.com/formula/]
// Evaluate rate and periods (TODO: replace with secure expression evaluator)
rate = eval(rate);
periods = eval(periods);
// Return error if either rate, periods, or value are lower than or equal to zero
if (rate <= 0 || periods <= 0 || value <= 0) return '#NUM!';
// Return error if start < 1, end < 1, or start > end
if (start < 1 || end < 1 || start > end) return '#NUM!';
// Return error if type is neither 0 nor 1
if (type !== 0 && type !== 1) return '#NUM!';
// Compute cumulative interest
var payment = getPartialPayment(rate, periods, value, 0, type);
var interest = 0;
interest = 0;
if(start === 1) {
if(type === 0) {
interest = -value;
start++;
}
}
for (var i = start; i <= end; i++) {
if (type === 1) {
interest += getFutureValue(rate, i - 2, payment, value, 1 ) - payment;
} else {
interest += getFutureValue(rate, i - 1, payment, value, 0 );
}
}
interest *= rate;
// Return cumulative interest
return interest;
}
@Smitevils
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// Requires getFutureValue() and getPartialPayment() from Formula.js [http://stoic.com/formula/]

Hi, please help me find Formula.js

@Smitevils
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I dont find in Formula.js funcrions getFutureValue() and getPartialPayment()

@lukephills
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Here is CUMIPMT with the getFutureValue and getPartialPayment functions.
Copied this straight from here

exports.CUMIPMT = function(rate, periods, value, start, end, type) {
  // Credits: algorithm inspired by Apache OpenOffice
  // Credits: Hannes Stiebitzhofer for the translations of function and variable names
  // Requires exports.FV() and exports.PMT() from exports.js [http://stoic.com/exports/]

  rate = utils.parseNumber(rate);
  periods = utils.parseNumber(periods);
  value = utils.parseNumber(value);
  if (utils.anyIsError(rate, periods, value)) {
    return error.value;
  }

  // Return error if either rate, periods, or value are lower than or equal to zero
  if (rate <= 0 || periods <= 0 || value <= 0) {
    return error.num;
  }

  // Return error if start < 1, end < 1, or start > end
  if (start < 1 || end < 1 || start > end) {
    return error.num;
  }

  // Return error if type is neither 0 nor 1
  if (type !== 0 && type !== 1) {
    return error.num;
  }

  // Compute cumulative interest
  var payment = exports.PMT(rate, periods, value, 0, type);
  var interest = 0;

  if (start === 1) {
    if (type === 0) {
      interest = -value;
      start++;
    }
  }

  for (var i = start; i <= end; i++) {
    if (type === 1) {
      interest += exports.FV(rate, i - 2, payment, value, 1) - payment;
    } else {
      interest += exports.FV(rate, i - 1, payment, value, 0);
    }
  }
  interest *= rate;

  // Return cumulative interest
  return interest;
};

exports.FV = function(rate, periods, payment, value, type) {
  // Credits: algorithm inspired by Apache OpenOffice

  value = value || 0;
  type = type || 0;

  rate = utils.parseNumber(rate);
  periods = utils.parseNumber(periods);
  payment = utils.parseNumber(payment);
  value = utils.parseNumber(value);
  type = utils.parseNumber(type);
  if (utils.anyIsError(rate, periods, payment, value, type)) {
    return error.value;
  }

  // Return future value
  var result;
  if (rate === 0) {
    result = value + payment * periods;
  } else {
    var term = Math.pow(1 + rate, periods);
    if (type === 1) {
      result = value * term + payment * (1 + rate) * (term - 1) / rate;
    } else {
      result = value * term + payment * (term - 1) / rate;
    }
  }
  return -result;
};

exports.PMT = function(rate, periods, present, future, type) {
  // Credits: algorithm inspired by Apache OpenOffice

  future = future || 0;
  type = type || 0;

  rate = utils.parseNumber(rate);
  periods = utils.parseNumber(periods);
  present = utils.parseNumber(present);
  future = utils.parseNumber(future);
  type = utils.parseNumber(type);
  if (utils.anyIsError(rate, periods, present, future, type)) {
    return error.value;
  }

  // Return payment
  var result;
  if (rate === 0) {
    result = (present + future) / periods;
  } else {
    var term = Math.pow(1 + rate, periods);
    if (type === 1) {
      result = (future * rate / (term - 1) + present * rate / (1 - 1 / term)) / (1 + rate);
    } else {
      result = future * rate / (term - 1) + present * rate / (1 - 1 / term);
    }
  }
  return -result;
};

@sgdividends
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sgdividends commented Dec 21, 2016

Hi,

How do i use the CUMIPMT function?

I'm trying to use it on blogger and have inserted the following code in a HTML post , but nothing comes out. Im trying to reference an external JS file using the steps shown in http://helplogger.blogspot.sg/2014/09/host-blogger-css-javascript-files-in-google-drive.html but it doesnt seem to work.

<script src="https://cdnjs.cloudflare.com/ajax/libs/numeric/1.2.6/numeric.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/numeral.js/1.4.5/numeral.min.js"></script> <script src="https://cdn.jsdelivr.net/jstat/latest/jstat.min.js"></script>

//uploaded the formula.js file into google drive together with its related other folders according to https://github.com/sutoiku/formula.js

<script src="https://drive.google.com/file/d/0B74BAo6Pq1tyOHVuaHNVc1NzRVk"></script>

//uploaded the CUMIPMT.js file into google drive

<script src="https://drive.google.com/file/d/0B74BAo6Pq1tyaDBqdVM0eENpb1E"></script> <script> document.write(CUMIPMT(12/12, 10, 10000, 1, 10, 0)); </script>

@KrisGurusamy
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The CUMIPMT calculation mentioned here is wrong. I compared the calculation value with Google Sheet or Excel and it is showing smaller value than CUMIPMT value shown in Google Sheet. Can someone tell me why?

@devamatkotiya
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devamatkotiya commented Aug 2, 2021

I Got This Type of Error Uncaught ReferenceError: getPartialPayment is not defined

Capture

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