Time decay doesn't move in a straight line — it curves. The closer you get to expiration, the faster an option loses its time value, and this acceleration hits hardest in that final week.

Here's the math behind it: theta is calculated based on the square root of time remaining, not a simple linear countdown. That means the drop from 30 days to 29 days is much smaller than the drop from 2 days to 1 day. If you've ever wondered why your short puts seem to melt away in value during the last few days, this is exactly why. The curve gets steep fast.

A Real Example with NVDA

Let's say you sold a cash-secured put on NVDA at the $850 strike with 30 days until expiration. You collected $12.00 in premium. At that point, your theta might be around -$0.35 per day — meaning the option loses roughly 35 cents of value daily, all else equal. That's decent, but not dramatic.

Fast forward to the final week. That same option, now with 5 days left, might carry a theta of -$0.90 or more per day. In the last two days before expiration, you could see theta hit -$1.50 or higher. The option that took three weeks to lose $7 of its value might lose the remaining $5 in just a few days. That's the curve doing its thing.

This is why wheel traders who sell 30-45 DTE (days to expiration) options often talk about closing at 50% profit rather than riding to expiration. You capture the early, slower decay, then close and redeploy. But some traders — and I'll be honest, I've done this — prefer to sell weeklies specifically to live in that accelerated decay zone from the start.

Why This Matters for Your Wheel Strategy

If you're running the wheel on something like AAPL, you have a choice: sell one 30-DTE put each month, or sell four 7-DTE puts across the same period. The weekly approach puts you in the steepest part of the theta curve right away. That sounds great on paper. And sometimes it is.

The catch is that gamma also explodes in that final week. Gamma measures how fast delta changes, and when gamma is high, your position can swing violently with a $5 move in the underlying. On a stock like AAPL trading around $175, a bad earnings reaction or a market-wide selloff can turn a "safe" weekly put into a full assignment scenario faster than you can adjust. You're collecting faster theta, but you're also holding a much more reactive position.

This is the tradeoff that doesn't get talked about enough. Faster time decay sounds like a pure win, but it comes with a position that's harder to manage if the stock moves against you. With 30 DTE, you have time to roll, adjust, or just wait for the stock to recover. With 5 DTE, you don't have that luxury.

What I'd Actually Do

For most wheel traders running this strategy on individual stocks, the sweet spot is selling puts at 21-30 DTE and closing at 50% profit. This typically lands you in a position where you're holding the trade for 10-15 days, capturing the transition into that steeper decay period without sitting through the full gamma explosion of the final days.

If you want to experiment with weeklies, do it on a ticker you'd genuinely be okay owning at the strike price. AAPL at $165 strike when it's trading at $175 feels comfortable. NVDA at $800 when it's trading at $850 during a volatile week? That's a different conversation. The accelerated theta is real, but so is the risk that you're sitting on a position that moves $50 in two days.

One more thing worth understanding: time decay acceleration is why you don't want to be the buyer of options in that final week unless you have a very specific, high-conviction directional trade. As a seller, that curve is working hard for you. As a buyer, you're fighting against physics.

Your Practical Takeaway

Pull up your current open positions right now and look at how many DTE each one has. If you have anything sitting at 7 days or fewer, check the theta on it. If theta is eating more than 1-2% of the premium per day, ask yourself whether you actually want to hold through expiration or whether closing early and redeploying makes more sense.

The acceleration is a tool. Use it intentionally — don't just let it happen to you while you're not paying attention.