IV Table

 

IV	1 Day	2 Days	1 Week	1 Month
10	0.63 / 1.26	0.89 / 1.78	1.41 / 2.82	2.89 / 5.78
12	0.76 / 1.52	1.07 / 2.14	1.69 / 3.38	3.47 / 6.94
15	0.95 / 1.90	1.34 / 2.68	2.12 / 4.24	4.34 / 8.68
18	1.13 / 2.26	1.60 / 3.20	2.54 / 5.08	5.20 / 10.40
20	1.26 / 2.52	1.78 / 3.56	2.82 / 5.64	5.78 / 11.56
25	1.58 / 3.16	2.23 / 4.46	3.53 / 7.06	7.23 / 14.46
30	1.89 / 3.78	2.67 / 5.34	4.23 / 8.46	8.67 / 17.34
35	2.21 / 4.42	3.11 / 6.22	4.94 / 9.88	10.12 / 20.24
40	2.52 / 5.04	3.56 / 7.12	5.64 / 11.28	11.56 / 23.12
45	2.84 / 5.68	4.00 / 8.00	6.35 / 12.70	13.00 / 26.00
50	3.15 / 6.30	4.45 / 8.90	7.05 / 14.10	14.45 / 28.90
60	3.78 / 7.56	5.34 / 10.68	8.46 / 16.92	17.34 / 34.68
70	4.41 / 8.82	6.23 / 12.46	9.87 / 19.74	20.23 / 40.46
80	5.04 / 10.08	7.12 / 14.24	11.28 / 22.56	23.12 / 46.24
90	5.67 / 11.34	8.01 / 16.02	12.69 / 25.38	26.01 / 52.02
100	6.30 / 12.60	8.90 / 17.80	14.10 / 28.20	28.90 / 57.80

Understanding Implied Volatility and Expected Moves (1σ, 2σ, 3σ)

 With Real Examples for Silver (IV = 80%) and Gold (IV = 30%)

Implied Volatility (IV) is one of the most important concepts in derivatives and risk management. It tells us how much the market expects an asset to move over the coming period, based on option prices. But how do we translate a quoted IV into an expected price move over various timeframes like a day, three days, a week, or a month?

In this post, we’ll explain:

• What implied volatility means

• How to calculate expected 1σ, 2σ, and 3σ moves

• Practical examples using Silver and Gold with assumed IVs and prices

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🧠 What Is Implied Volatility?

Implied volatility is the volatility “priced into” an option. It is the market’s consensus estimate of how much the underlying asset’s price is expected to move over a year — expressed in percentage terms.

But IV by itself isn’t directly a daily move. To estimate expected price ranges over shorter periods, we use the square-root-of-time rule:

$$\text{σ (over N days)} = \text{Annual IV} \times \sqrt{\frac{N}{252}}$$

Why 252? Because the financial markets typically use ~252 trading days per year to annualize volatility.

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📏 What Are 1σ, 2σ, 3σ Moves?

In a normal distribution:

• 1σ move (one standard deviation) means there’s ~68% probability the price stays within that range.

• 2σ move covers ~95% probability.

• 3σ move covers ~99.7% probability.

So if you can estimate σ over a timeframe, you can gauge how far the price might move — statistically — with decreasing probability as you go from 1σ to 3σ.