Is there a place in eleven forums where I can get help with math for financial/investing help?


caffeine

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I failed to find a place for this request. Maybe PMing is the appropriate route for this type of help. I believe I know logically how to perform calculations for dollar cost averaging, sales of assets, recalculate dollar cost average, and calculate profit. I believe I have the proper solutions, but I desire someone to proof my solutions and/or show me where my logic is wrong.

Thanks.
regards,
caffeine
 

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This is too vague. You do not say what type of tools you use, what type of equations etc.

The only obvious advice is to develop a spreadsheet in baby steps, testing as you go along. Even if you use a tool like python programming for your equations, use of a spreadsheet is good for checking results e.g. spot checks.
 

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Thanks, cereberus for your reply.

I am targeting members with investment accounting knowledge and experience
Please read the entire post before replying. Members with the aforementioned knowledge and experience should be able to understand what is posted here. Thanks in advance for your helpful replies.
This is too vague. You do not say what type of tools you use, what type of equations etc.

The only obvious advice is to develop a spreadsheet in baby steps, testing as you go along. Even if you use a tool like python programming for your equations, use of a spreadsheet is good for checking results e.g. spot checks.

Yes, my query was vague. Experience has taught me that a post that is too specific garners too many replies which indicate that the original post is not read thoroughly before replying; so, I tried a different method. Hopefully this has allowed me to target someone with the specific knowledge I am looking for.

This is too vague. You do not say what type of tools you use, what type of equations etc.

The only obvious advice is to develop a spreadsheet in baby steps, testing as you go along. Even if you use a tool like python programming for your equations, use of a spreadsheet is good for checking results e.g. spot checks.

I do have spreadsheets in place, but I do not know whether or not my logic follows Generally Accepted Account Practices, also known as GAAP. The spreadsheets have specific information which I choose not to share for security purposes; therefore, the formulas I am using are more generic in nature. All the numbers represent the real numbers and formulas and hypothetical transactions.
For the record: DCA = Dollar Cost Average.

Beginning with the second purchase calculate DCA as follows. (total cost) / (number of shares) = DCA. For each new purchase repeat the same formula, and so on. I know this is correct because it is the very definition of DCA.

The following is based upon my logic. I wish to verify my logic because I don't know if my logic follows accounting rules.

I have 36 shares of ACME at a DCA of $71.09. (See above formula for DCA.) This makes the current total purchase value of ACME ((36 shares) x (DCA of $71.09)) = $2559.24.

Suppose I sell 5 shares of ACME @ $100.00 / share, making the value of the sale $500.00. Now value of the remaining shares is ($2559.24 - $500.00) = $2059.24.

From here I don't know if my logic complies with GAAP.

So is the new DCA ((current value of $2059.24) / (31 shares of ACME)) $66.43?

Assuming the previous math is correct, let's calculate the profit using the sale price less the DCA purchase value before the transaction as expressed here.
((sale price of ACME $500.00) - (5 shares of ACME @ $71.09 [which equals $355.45])) = $144.55.

EDIT: correct grammar
 

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Thanks, cereberus for your reply.

I am targeting members with investment accounting knowledge and experience
Please read the entire post before replying. Members with the aforementioned knowledge and experience should be able to understand what is posted here. Thanks in advance for your helpful replies.


Yes, my query was vague. Experience has taught me that a post that is too specific garners too many replies which indicate that the original post is not read thoroughly before replying; so, I tried a different method. Hopefully this has allowed me to target someone with the specific knowledge I am looking for.



I do have spreadsheets in place, but I do not know whether or not my logic follows Generally Accepted Account Practices, also known as GAAP. The spreadsheets have specific information which I choose not to share for security purposes; therefore, the formulas I am using are more generic in nature. All the numbers represent the real numbers and formulas and hypothetical transactions.
For the record: DCA = Dollar Cost Average.

Beginning with the second purchase calculate DCA as follows. (total cost) / (number of shares) = DCA. For each new purchase repeat the same formula, and so on. I know this is correct because it is the very definition of DCA.

The following is based upon my logic. I wish to verify my logic because I don't know if my logic follows accounting rules.

I have 36 shares of ACME at a DCA of $71.09. (See above formula for DCA.) This makes the current total purchase value of ACME ((36 shares) x (DCA of $71.09)) = $2559.24.

Suppose I sell 5 shares of ACME @ $100.00 / share, making the value of the sale $500.00. Now value of the remaining shares is ($2559.24 - $500.00) = $2059.24.

From here I don't know if my logic complies with GAAP.

So is the new DCA ((current value of $2059.24) / (31 shares of ACME)) $66.43?

Assuming the previous math is correct, let's calculate the profit using the sale price less the DCA purchase value before the transaction as expressed here.
((sale price of ACME $500.00) - (5 shares of ACME @ $71.09 [which equals $355.45])) = $144.55.

EDIT: correct grammar
This forum is primarily a technical forum i.e. how to use Windows.

Have you considered using a tool like Copilot or similar to help you?
 

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Have you considered using a tool like Copilot or similar to help you?
That has to be one of the nailed on first port of calls for a question like this.

Anyway let's see how two diferent AI's answer

Copilot:

Here’s the good news: your math is correct, but your logic does not follow GAAP (or IRS rules) for stock sales.
Under U.S. GAAP and U.S. tax rules, you cannot recalculate a new DCA after a sale the way you’re doing it. Instead, you must remove the cost basis of the specific shares sold using an approved method (FIFO by default), and the remaining shares keep their original per‑share basis.
Let’s walk through this cleanly and show exactly where your spreadsheet logic diverges from GAAP.

📌 1. What GAAP/IRS actually require​

For stock sales, GAAP and IRS rules treat each purchase as a tax lot with its own cost basis. When you sell shares, you must remove the cost basis of the shares sold using one of these methods:

Allowed methods​

  • FIFO (default) – oldest shares sold first.
  • Specific identification – only if you tell the broker at the time of sale.
  • Average costonly for mutual funds and certain ETFs, not for individual stocks.

Not allowed​

❌ Recalculating a new average cost after a sale (your method)
❌ Treating the remaining shares as if their basis changes because you sold some
❌ Using “remaining value ÷ remaining shares” for stocks
This is why your DCA recalculation to $66.43 is not GAAP‑compliant.

📌 2. Let’s apply the correct GAAP logic to your example​

Your starting position​

  • 36 shares
  • Cost basis per share: $71.09
  • Total basis:
    [ 36 \times 71.09 = 2559.24 ]

You sell 5 shares at $100​

Under FIFO (default), the cost basis of the shares sold is:
[ 5 \times 71.09 = 355.45 ]

Capital gain​

[ 500.00 - 355.45 = 144.55 ]
Your gain calculation is correct.
This part does follow GAAP/IRS rules.

📌 3. What happens to the remaining shares?​

Here’s the key point:

The remaining 31 shares keep their original cost basis of $71.09 each.

You do not recompute a new DCA.

Remaining basis​

[ 31 \times 71.09 = 2203.79 ]
This is the correct GAAP/IRS value — not $2059.24.

📌 4. Why your recalculation is not GAAP‑compliant​

You did:
[ \text{Remaining value} = 2559.24 - 500 = 2059.24 ]
Then:
[ 2059.24 / 31 = 66.43 ]
This assumes:
  • The sale proceeds reduce the cost basis of the remaining shares
  • The remaining shares’ basis should be recalculated
Both assumptions are incorrect under GAAP and IRS rules.

Why?​

Because sale proceeds never affect cost basis.
Cost basis only changes due to:
  • Purchases
  • Corporate actions (splits, mergers, spin‑offs)
  • Return of capital
  • Wash sale adjustments
  • Certain fund‑specific average‑cost rules (not applicable to stocks)
Selling shares does not retroactively change the basis of the shares you keep.

📌 5. Summary Table​

ConceptYour MethodGAAP/IRS Method
Cost basis of shares soldCorrectCorrect
Gain calculationCorrectCorrect
Remaining basisIncorrect (you subtracted sale proceeds)Correct (subtract cost basis of shares sold)
New DCAIncorrect (recomputed)No new DCA — remaining shares keep original basis
GAAP compliance❌

📌 6. Final Answers to Your Questions​

1. Is the new DCA $66.43?

❌ No.
The correct DCA remains $71.09.

2. Is your gain calculation of $144.55 correct?

Yes.
That part is fully correct and GAAP‑compliant.

3. Does your spreadsheet logic follow GAAP?

❌ Not for the recalculation of DCA.
You must track tax lots and remove the cost basis of the shares sold, not recalculate a new average.

If you want, I can help you build a GAAP‑compliant spreadsheet structure that handles:
  • FIFO
  • Specific identification
  • Running cost basis
  • Realized vs. unrealized gains
  • Multiple lots and partial sales


Grok:

No, your proposed new DCA of $66.43 is not correct under standard accounting practices (including those aligned with GAAP principles for cost basis tracking). Your profit calculation on the sale is correct, but the adjustment to the remaining shares' cost basis contains a key error.


Quick Recap of Your Numbers (Verified)​


  • Total cost basis before sale: 36×71.09=2559.24 36 \times 71.09 = 2559.24 36×71.09=2559.24
  • Sale: 5 shares @ $100 = $500 proceeds
  • Cost basis of the 5 shares sold (using your average/DCA): 5×71.09=355.45 5 \times 71.09 = 355.45 5×71.09=355.45
  • Realized profit/gain: 500−355.45=144.55 500 - 355.45 = 144.55 500−355.45=144.55 ← This part is correct.

Where the Logic Breaks (and the Correct Fix)​


You subtracted the sale proceeds ($500) from the total cost basis to get the remaining "value" of $2059.24.This is the mistake.


The sale proceeds ($500 cash received) are not part of the investment's cost basis at all. The cost basis represents your original out-of-pocket purchase cost. When you sell part of a position:


  • You only remove the allocated portion of your historical cost basis for the shares sold.
  • You recognize any gain/loss separately (which you did correctly).

Correct adjustment under the average cost (DCA) method:


  • Remaining cost basis = previous total cost basis − cost basis of shares sold2559.24−355.45=2203.79 2559.24 - 355.45 = 2203.79 2559.24−355.45=2203.79
  • New DCA (average cost per share) for the remaining 31 shares =2203.79÷31=71.09 2203.79 \div 31 = 71.09 2203.79÷31=71.09

The average cost stays exactly the same after a partial sale when using the average cost method. (It only changes when you buy additional shares at a different price.)


Your method of subtracting the full $500 effectively removed the gain from the cost basis too early, which artificially lowered the remaining average to ~$66.43. That does not reflect proper cost accounting.


Does This Follow GAAP (or Equivalent Accounting Rules)?​


  • For formal company financial statements: No — under US GAAP (ASC 321) or IFRS 9 (which applies in the Isle of Man), equity investments like stocks are generally carried at fair market value, not historical cost/DCA average. Unrealized gains/losses go through income (or OCI in some cases). Historical average cost is not the balance-sheet approach for marketable equities.
  • For personal investment tracking, spreadsheets, and tax cost basis (your situation): Yes — the corrected average cost method you started with is a standard and widely accepted practice. Brokerages (Fidelity, Vanguard, Schwab, etc.) and tax authorities (IRS for mutual funds; many international equivalents) explicitly use it this way. The average stays constant on partial sales until new purchases occur. Your original DCA formula on buys is correct, and the proportional removal of cost basis on sales keeps everything consistent.

Summary of Correct Spreadsheet Logic​


  1. On every purchase: Update total cost basis and total shares → new DCA = total cost ÷ total shares.
  2. On a sale:
    • Gain/loss = proceeds − (shares sold × current DCA)
    • Subtract only the cost basis of sold shares from total cost basis
    • New DCA = remaining cost basis ÷ remaining shares (remains unchanged until next buy)

Your profit math was spot-on, and your DCA-on-buys definition is perfect. Just fix the sale adjustment by removing the cost (not the proceeds), and your spreadsheets will be sound for tracking realized gains and your true average purchase price going forward.
 

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z3r010,​

Thanks for the time and effort you put into this reply. Upon Brink's advice I entered this question in this forum because it does not fit anywhere else.
I have disabled Copilot because I found it intrusive in many of the tasks I perform; therefore, I gave no thought to using AI. Yes, I like your offer for setting up a correct spreadsheet. It would be awesome to have an IRS compliant document as a template for al my assets. I use LibreOffice Calc for all my spreadsheets.
 

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BTW. If possible I would like to make the template printable. Do I need to choose landscape page format to make it fit a single page suitable for printing?
 

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Please forgive me, but it looks like I am way over my head. My beginner level use of spreadsheets required me to Google most things in my spreadsheets and work out all formulas on paper before entering them in the spreadsheets. Furthermore, I have never created a template. I tried using google Gemini (pre-installed with my gmail account) to enter the features listed earlier in this thread. The resulting spreadsheet template was only 3 or 4 columns wide and did not resemble what I was expecting. I don't know if I should attempt to create one or more IRS and GAAP compliant spreadsheets first, and then create a template. In short I am totally lost on this task.
EDIT: My cash flow requires me to stay with free apps to prevent resorting to selling assets for the purpose of using for-pay apps.
 

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Memory
16GB DDR5
Monitor(s) Displays
2
Screen Resolution
1920x1200
Hard Drives
512 GB SSD
PSU
65W
Case
military grade (mil-std 810h), color-abyss blue
Keyboard
backlit, light blue
Mouse
Logitech M100
Internet Speed
SLOOOOOOOW
Antivirus
Windows Defender & MBAM
Other Info
novabench score 2443

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