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How Can a Trader Visualize the Non-Linear Decay of Time Value?

A trader can visualize the non-linear decay of time value by plotting the option's extrinsic value against the time to expiration. This plot typically shows a convex curve, which is relatively flat far from expiration but drops steeply in the last 30 to 45 days.

This visually represents the accelerating rate of theta decay.

When Does Time Decay Accelerate Most Significantly?
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Define “Extrinsic Value” and How It Relates to Time Decay
What Is a ‘Volatility Smile’ and What Does It Suggest about the Black-Scholes Assumption?