How to calculate the pips per value in Forex

Question

I am trying to fully understand the logic behind Forex calculations. However I find myself stuck on some parameters.

Let me explain better with a real example of a trade:

• Pairs: AUDUSD
• Date Open: 15 June 2023
• Entry Price: 0.67995
• Stop-Loss Price: 0.67771
• Take-Profit Price: 0.68876
• Lots Size (Standard): 3 Lots
• Commission Fee: 9 (3 per Lot)
• Leverage: 100
• Result of this trade: + 2652
• Result of this trade (subtracting commission fee): + 2643

This is what Metatrader 5 return me as result.

Let's redo the steps together

1. Define the Unit

Since we are talking about a currency quoted against the dollar I will use the value 0.0001 to calculate the pips, based on TradingView and its scheme. (I assume that the last digit written smaller refers to the pipettee).

In this case our data is:

unit = 0.0001

Scheme Image here

2. Calculate Pips

The formula to calculate the pips, if I'm not mistaken would be this:

pips = abs(((interest_price - entry_price) / unit))

• we'll use always an absolute value for simplification for this reason abs().
• we'll use to round to the nearest integer.

So now we can do some math:

stop_pips = abs((0.67771 - 0.67995) / 0.0001)
stop_pips = abs(-0.00224 / 0.0001)
stop_pips = abs(-22.4)
stop_pips = 22.4
stop_pips = 22 pips

profit_pips = abs((0.68876 - 0.67995) / 0.0001)
profit_pips = abs(-0.00881 / 0.0001)
profit_pips = abs(88.1)
profit_pips = 88.1
profit_pips = 88 pips

3. Calculate Pip Value

Correct formula should be:

pip_value = (lot / current_price) * unit

Lot is the value of a lot express in unit, we'll use standard Lot:

Standard = 100 000

Mini = 10 000

Micro = 1 000

Nano = 100

current_price as says, should be the current price. for semplifing we could use the entry price

Result:

pip_value = (100 000 *  0.67995) * 0.0001
pip_value = (67995) * 0.0001
pip_value = 6.7995

4. Calculate PnL

Now we can calculate the Pnl using Pips and Pips Value (for now we will omit the leverage)

pnl_profit = pip_value * profit_pips 
pnl_loss   = pip_value * stop_pips

Result using our datas:

pnl_profit = 6.7995 * 88
pnl_profit = 598.35

pnl_loss   = 6.7995 * 22
pnl_loss   = 149.58

Now there's something that i missed or i wrong in all this calculation, but i can't understand where is the error. I tried to googling but there's ton of information and formula each one different. i asked to chatGPT but his answer are alwayys wrong and differents.

Can someone explain me better why mine calculets are different from metatrader 5?