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Educationrisk-psych

Position Sizing: Calculating the Perfect Lot Size Every Time

You are reading Lesson 2 of the risk-psych course.

The goal of position sizing is to answer one question: **'How many lots must I buy so that if my Stop Loss is hit, I lose exactly 1% of my account?'**

To answer this, we need four variables:
1. **Account Balance:** (e.g., $10,000)
2. **Risk Percentage:** (e.g., 1%)
3. **Stop Loss Distance:** (e.g., 20 Pips)
4. **Pip Value:** (The value of 1 pip for 1 Standard Lot).

---

**1. THE DANGER OF STATIC LOT SIZING**

Let's illustrate why 'always trading 0.10 lots' is dangerous.

* **Trade A (EUR/USD):** Quiet market. Stop Loss is **10 pips**.
* 0.10 Lots x 10 pips = **$10 Risk**.
* **Trade B (GBP/NZD):** Volatile market. Stop Loss is **100 pips**.
* 0.10 Lots x 100 pips = **$100 Risk**.

In this scenario, you took **10x more risk** on Trade B simply because the stop loss was wider. If Trade B loses, it wipes out 10 winning trades of Type A. This imbalance destroys portfolios.

**The Solution:** You must adjust the lot size so that *both* trades risk exactly the same dollar amount (e.g., $50).

---

**2. THE MATHEMATICAL FORMULA**

Memorize this. Write it on a sticky note. Tattoo it on your arm (metaphorically).

**`Lots = (Risk Amount in $) / (Stop Loss in Pips * Pip Value)`**

Let's break it down.

**Step 1: Determine Dollar Risk**
* Account: $10,000.
* Risk: 1%.
* **Risk Amount = $100.** (This is your numerator. It never changes).

**Step 2: Determine Stop Loss Distance**
* You analyze the chart. You see a Double Bottom. You place your stop below the wicks.
* Entry: 1.1050.
* Stop: 1.1030.
* **Distance = 20 Pips.**

**Step 3: Determine Pip Value (Standard Lot)**
* For any pair where USD is the *Quote* currency (EUR/USD, GBP/USD, AUD/USD), the Pip Value is fixed at **$10**.

**Step 4: Calculate**
* `Lots = $100 / (20 * 10)`
* `Lots = $100 / 200`
* **Lots = 0.50**

So, you buy **0.50 Lots**. If price moves 20 pips against you, you lose $100.

---

**3. THE CROSS-PAIR COMPLICATION (Variable Pip Values)**

If you trade pairs where USD is *not* the quote currency (e.g., GBP/JPY, EUR/AUD, CAD/CHF), the math gets trickier because a pip is not worth $10.

* **Example:** GBP/JPY.
* Current Exchange Rate: 150.00.
* Approx Pip Value: **$6.60** (This fluctuates with the exchange rate).

**Scenario:**
* Account: $10,000 (Risk $100).
* Stop Loss: 20 Pips.

**Calculation:**
* `Lots = $100 / (20 * $6.60)`
* `Lots = $100 / 132`
* **Lots = 0.75**

Notice the difference? On EUR/USD, you traded 0.50 lots. On GBP/JPY, you can trade 0.75 lots for the same risk because the pip value is lower. If you blindly traded 0.50 lots on GBP/JPY, you would actually be *under-risking* (risking only ~$66).

**The Fix:** You do not need to calculate pip values manually. Use a **Position Size Calculator** app (available on Myfxbook or baked into cTrader/TradingView). But you must understand *why* the numbers differ.

---

**4. INVERSE RELATIONSHIP: STOP WIDTH VS. LOT SIZE**

This is the mental hurdle beginners struggle with: **"Wider Stop = Smaller Size"**.

* **Scalping (5-Pip Stop):**
* Risk: $100.
* Stop: 5 Pips.
* Math: $100 / (5 * 10) = **2.0 Lots**.

* **Swing Trading (100-Pip Stop):**
* Risk: $100.
* Stop: 100 Pips.
* Math: $100 / (100 * 10) = **0.10 Lots**.

In both cases, if you lose, you lose exactly $100.

This is liberating. It means you don't have to be afraid of taking a trade with a massive 200-pip stop loss on the Daily chart. You just have to reduce your lot size down to a Micro-lot (0.01) level to accommodate it.

---

**5. ACCOUNT CURRENCY MATTERS**

All examples above assume your account is in USD.

If your account is in **GBP** or **EUR**, you must adjust the Pip Value.
* If you have a GBP account and trade GBP/USD, the pip value is fixed at £10 (if trading standard lots) adjusted by the exchange rate.
* **Simplicity Rule:** Use a calculator app. Do not try to do currency conversion algebra in your head while the market is moving.

---

**6. THE PSYCHOLOGICAL BENEFIT OF EXACT SIZING**

When you know *exactly* what you will lose, fear disappears.

Fear comes from the unknown. "What if the market crashes? How much will I lose?"
If you have calculated your position size correctly, the answer is: "I will lose $100."

Can you survive losing $100? Yes.
Therefore, you can execute the trade without hesitation.

---

**7. PRACTICAL STEPS FOR EXECUTION**

**The Workflow:**
1. **Analyze Chart:** Find entry and logical Stop Loss (based on structure, not money).
2. **Measure Stop:** Use the 'Ruler' tool. (e.g., 23 pips).
3. **Open Calculator:** Input Account Balance, Risk %, and Stop (23).
4. **Get Result:** Calculator says "0.43 Lots".
5. **Execute:** Go to MT4/5, type "0.43" into Volume, and click Buy.

**Note:** Never place the Stop Loss based on how much money you want to lose (e.g., "I'll put my stop 10 pips away because that's $100"). This is wrong.
* **Correct:** Place Stop where the trade is invalid (Structure). Adjust Lots to match the money.

---

**CONCLUSION**

Position sizing is the equalizer. It allows the retail trader with $1,000 to manage risk with the same sophistication as a hedge fund with $1 Billion.

It turns the chaotic ocean of market volatility into a standardized swimming pool. No matter how big the waves are (volatility), you adjust your boat size (lots) so that the ride feels exactly the same.

In the next lesson, we will explore the counterpart to Risk: **Risk-to-Reward Ratio (R:R)**. We will learn how to structure trades so that you can be profitable even if you lose 60% of the time.

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