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Compound Interest Calculator with monthly reductions

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cxmelga Compound Interest Calculator... 10-18-2022, 03:00 AM
AliGW Re: Compound Interest... 10-18-2022, 03:09 AM
MrShorty Re: Compound Interest... 10-18-2022, 11:34 AM
curiouscat408 Re: Compound Interest... 10-18-2022, 01:02 PM
cxmelga Re: Compound Interest... 10-21-2022, 04:18 AM
AliGW Re: Compound Interest... 10-21-2022, 04:29 AM
  1. #1
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    Compound Interest Calculator with monthly reductions

    Hello

    I am a novice when it comes to Excel and I would be very grateful if someone could help me with the following please.

    I want to create a spreadsheet where some cells act as the input values (just plain cells for reverence) these input values will all be numbers up to a maximum of 2 decimal places for example


    Capital Amount 500,000
    % Annual Interest Rate 3.00
    Duration Years 35
    Added Monthly Amount 1,000
    Subtracted Monthly Amount 1,800

    So basically all the above numbers can be changed (one or more individually at will to see what the overall effect is)
    The idea is the first three numbers above act as a standard compound interest calculator over the time period specified. However the last two numbers come into play as amounts many be add/subtracted each month which will effect that months (running balance) and therein the interest earned on said balance (as the balance has either been added to or taken away from).

    To basic idea is, if you have X amount of starting capital (500,000) and earn a fixed interest rate of 3% over 35 years the amount will 'compound' up over the 35 years. However you have to take an income (subtracted monthly amount) which would likely be higher than the amount being earned each month in interest (so eventually the money will run out). However even though you are taking money out to pay expensed you are you getting interest each month on what if left in (so the money would last longer than if you had zero monthly interest)

    Then now and then you may take a part time job in order to top up the amount (added monthly amount) which although may (or many not be depending on what figures you set) be less than what is being subtracted each month still slows down (or rather extends the time period) before the funds run out.

    The above are jut round numbers for example, to explain what I am trying to achieve, and I would be very grateful if someone can help me out where by explain the formulas I need to use, the goal being 'Years Remaining Until Zero (or dips below minus zero) Capital Amount Left"

    Thanks everyone for your help
    CXMelga

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    Re: Compound Interest Calculator with monthly reductions

    There are instructions at the top of the page explaining how to attach your sample workbook. Screenshots are of little practical use as we cannot manipulate them.

    A good sample workbook has just 10-20 rows of representative data that has been desensitised. It also has expected results mocked up, worked examples where required, relevant cells highlighted and a few explanatory notes.
    Ali


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    Re: Compound Interest Calculator with monthly reductions

    How much of this is Excel programming, and how much is a broader financial math/modeling question?

    As a naive guess (I am not very familiar with financial models), you give an amount (present value, I assume), a fixed annual interest rate, a fixed number of compounding periods, and fixed, periodic payment amount (combination of added and subtracted), so my first assumption is you want to use a simple present/future value model. This is implemented in Excel using the PV() family of functions [PV() function help file https://support.microsoft.com/en-us/...1-da16e8168cbd ]. It appears you are given the present value and want to calculate the future value, suggesting that the FV() function might be appropriate.

    It isn't clear to me whether the interest is compounded monthly or annually (you give a monthly payment amount but an annual interest rate) or something else. One key to using the PV() family of functions is that nper, rate, and pmt arguments must all be for the same time period (whether monthly or annually or quarterly or whatever). For example, if interest is compounded annually, then you will need to adjust the monthly payment (added and subtracted) somewhere in your formulas/calculation scheme so they are annual values rather than monthly values.

    Does that help, or did I miss something important in my naivete?
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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    Re: Compound Interest Calculator with monthly reductions

    @CXMelga.... Refer to the attached Excel file.

    If the monthly deposits and withdrawals are the same(!) for all months over 35 years(!), we might use the example in columns A:B to calculate the ending balance after 35 years.

    cmpnd int fv.jpg
    Formula:
    B6: =-FV(B2/12, B3*12, B4-B5, B1)

    Note that B2/12 is the monthly interest rate, and B3*12 is the number of months.

    Also note that I assume that deposits and withdrawals occur at the same time. In this case, I assume they are at the end of each monthly period (which does not have to be the end of the month per se).

    In this model, I use positive values for deposits and the beginning balance, and negative values for withdrawals. Consequently, the ending balance (FV) is negative. I negate it so that it appears positive, a personal choice.

    -----
    However, if the monthly deposits and withdrawals might vary over time, or they do not occur at the same time, or we simply want to see the monthly progress of the balance, we must use an amortization schedule such as the one in columns D:I.

    cmpnd int amort.jpg
    Formulas:
    D3: =D2+1
    E3: =EDATE($E$2,D3)
    H3: =I2*$B$2/12
    I3: =I2+F3-G3+H3

    For now, I assume the same regular deposits and withdrawals. So F3 has the formula =$B$4, and G3 is =$B$5.

    PS.... This is a bare-bones amortization schedule. If you do a google search, you will find many online templates. Some might be more robust; some might not be very good.

    -----
    Attached Files Attached Files

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    Re: Compound Interest Calculator with monthly reductions

    Thanks very much, I really appreciate your help

    CXMelga

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    Re: Compound Interest Calculator with monthly reductions

    If that takes care of your original question, please choose Thread Tools from the menu link above and mark this thread as SOLVED.

    Also, if you have not already done so, you may not be aware that you can thank those who have helped you by clicking the small star icon (* Add Reputation) located in the lower left corner of the post in which the help was given. By doing so you can add to the reputation(s) of all those who offered help.

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