Theta Decay Calculator

Calculate and visualize how theta erodes option value over time. Understand daily time decay to optimize your options selling and buying strategies.

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Written by Sarah Chen, CFP
Certified Financial Planner
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Income StrategiesFact-Checked

Input Values

$

Current market price of the option.

$

Strike price of the option.

$

Current price of the underlying stock.

Trading days remaining until expiration.

%

The implied volatility of the option.

Whether this is a call or put option.

Results

Daily Theta Decay ($)
$0.00
Weekly Time Decay ($)
$0.00
Daily Decay (% of Price)
0.00%
Value at 50% Time Elapsed
$0.00
Intrinsic Value$0.00
Current Time Value$0.00
Results update automatically as you change input values.

What Is Theta Decay in Options?

Theta decay, also known as time decay, is the rate at which an option loses value as it approaches its expiration date. Every option has a finite lifespan, and as each day passes, the probability of a significant price movement decreases, causing the time value component of the option price to erode. Theta is expressed as the dollar amount an option is expected to lose per day, all else being equal.

For options sellers, theta decay is a powerful ally. When you sell a covered call or cash-secured put, time decay works in your favor every single day, steadily reducing the value of the option you sold. For options buyers, theta is a headwind that constantly erodes the value of their position, requiring the stock to move enough to overcome the daily time value loss.

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The Theta Acceleration Curve

Theta decay is not linear. It accelerates as expiration approaches. An option with 60 days left might lose $0.05/day, but with 10 days left it might lose $0.15/day. The last 30 days before expiration see the most dramatic acceleration, which is why many options sellers target the 30-45 DTE window.

How to Calculate Theta Decay

Theta (Simplified)
Theta approx. = -(Option Price x IV) / (2 x sqrt(DTE/365))
Where:
Option Price = Current price of the option
IV = Implied volatility as a decimal
DTE = Days to expiration
Time Value
Time Value = Option Price - Intrinsic Value
Where:
Option Price = Current market price of the option
Intrinsic Value = Max(Stock Price - Strike, 0) for calls; Max(Strike - Stock Price, 0) for puts
Theta as Percentage
Theta % = (Daily Theta / Option Price) x 100%
Where:
Daily Theta = Dollar amount of daily time decay
Option Price = Current option premium
Theta Decay Calculation Example
Given
Option Price
$5.00 (ATM call)
Stock Price
$100
Strike Price
$100
DTE
30 days
IV
30%
Calculation Steps
  1. 1Intrinsic value = max($100 - $100, 0) = $0
  2. 2Time value = $5.00 - $0 = $5.00 (100% time value)
  3. 3Approximate theta = -$0.12 per day
  4. 4Weekly decay = $0.12 x 7 = $0.84
  5. 5After 15 days (50% time): option worth approximately $3.55
  6. 6After 25 days (83% time): option worth approximately $2.05
  7. 7Final 5 days: accelerated decay of $0.20+ per day
Result
This $5.00 ATM option loses approximately $0.12/day initially, accelerating to $0.20+/day in the final week. Sellers collect 50% of the premium in about 15 days, while the remaining 50% erodes more slowly at first then rapidly near expiration.

Theta Decay by Days to Expiration

How Theta Accelerates Over Time (ATM Option Example)
Days to ExpirationApprox. Option ValueDaily Theta ($)% of Original Value
60 days$7.07$0.08100%
45 days$6.12$0.1087%
30 days$5.00$0.1271%
21 days$4.18$0.1459%
14 days$3.42$0.1748%
7 days$2.42$0.2234%
3 days$1.58$0.3022%
1 day$0.91$0.5013%

Strategies That Benefit from Theta Decay

  • Covered calls: Sell calls against stock you own and profit as time value erodes
  • Cash-secured puts: Sell puts and collect premium that decays in your favor daily
  • Iron condors: Sell both a call spread and put spread to profit from time decay in range-bound markets
  • Credit spreads: Sell a spread to collect premium with defined risk while theta works for you
  • Calendar spreads: Sell a near-term option and buy a longer-term option in the same strike to exploit differential theta
  • The Wheel strategy: Combine CSPs and covered calls for continuous theta income

Optimizing Theta in Your Options Strategy

Maximizing Theta Income

1
Target the 30-45 DTE Sweet Spot
Options in the 30-45 day range offer the best ratio of premium collected to time remaining. Theta acceleration begins in earnest during this window, providing meaningful daily income without excessive gamma risk.
2
Sell Options When IV Is Elevated
Higher implied volatility means more time value in the option price. Selling when IV rank is above 30-50 gives you more premium to capture through theta decay. Monitor VIX and individual stock IV percentiles.
3
Choose ATM or Slightly OTM Strikes
At-the-money options have the highest theta because they contain the most time value. Slightly out-of-the-money options (5-10% OTM) offer a good balance of theta income and probability of expiring worthless.
4
Close Winners Early at 50% Profit
Research shows closing at 50% of max profit and redeploying capital generates better risk-adjusted returns than holding to expiration. You capture the easiest 50% of theta and avoid the risky final days where gamma increases.
5
Manage Portfolio Theta
Track your total portfolio theta as a daily income target. A portfolio generating $50/day in theta means you earn approximately $1,500/month from time decay alone, assuming positions expire worthless or are closed profitably.
!
Gamma Risk Near Expiration

While theta accelerates near expiration, so does gamma risk. Gamma measures how fast delta changes, and near expiration, small stock price movements can dramatically change your profit/loss. Many professional traders close positions with less than 7-10 DTE to avoid gamma risk, even though theta is highest during this period.

Frequently Asked Questions

A good theta value depends on the option price and your income target. Generally, you want daily theta to represent 2-5% of the option's current price. For a $5.00 option, theta of $0.10-$0.25 per day is healthy. For options selling strategies, focus on theta relative to your capital at risk: collecting $50-$150 in daily theta per $100,000 in committed capital is a reasonable target.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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