Everything above is the idea. This is the position — the lines you would actually send to a broker.
| Leg | Action | Qty | Expiry | DTE | Strike | Delta | Price |
|---|---|---|---|---|---|---|---|
| 1 | Buy shares | +100 | — | — | stock | +100 | $100.00 |
| 2 | Sell to open | -1 | 16 Oct 26 | 45 | 105 Call | -0.32 (32Δ) | $1.77 |
| Net | Debit | 1 position | 16 Oct 26 | 45 | — | +0.68 | $98.23 |
BUY +100 XYZ @ 100.00 · SELL -1 XYZ 16 OCT 26 105 CALL @ 1.77
Bull
makes the claim
I own the stock anyway. Somebody is offering me money for the part of the upside I never expected to get. Take it, take it again next month, and let it compound against the cost of the shares.
Bear
doubts it
You have kept every dollar of the downside and sold the one thing that pays for it. One good quarter and your stock is called away at the strike while the rest of the market runs. You have swapped a lottery ticket for lunch money.
Ferret
settles it
The claim is that the premium collected beats the upside given up, over many cycles, on a real portfolio. That is a measurable claim and nobody in this argument has measured it. Name the delta, the tenor and what happens on assignment, and it can be tested.
The covered call on XYZ at $100 · 25% volatility · 4% rate · 45 days. Priced from the model, not written by hand.
| At expiry | |
|---|---|
| Debit paid | $9,823 |
| Maximum profit | $677 |
| Maximum loss | $-9,822 |
| Breakeven | $98.23 |
The chart above is the shape at expiry. It puts the bend right next to the money, which makes the trade look like it is already on the edge. It is not — here is the day you open it.
The same structure set up at 30Δ · 45 days · credit $9,850. The shaded band is the room between the stock and the strike you sold.
| On day one | At expiry | |
|---|---|---|
| Stock at $106 (the strike you sold) | $353 | $750 |
| Stock unchanged at $100 | $0 | $150 |
One dial that matters: how far above the money you sell the call. The tenor is the second, and the two interact in a way the panels make obvious.
| Days | Short strike | Away from spot | Credit | Max loss | Risk : reward |
|---|---|---|---|---|---|
| 7 | 102 | -2.0% | $9,936 | $-9,935 | — |
| 21 | 104 | -4.0% | $9,900 | $-9,899 | — |
| 45 | 106 | -6.0% | $9,850 | $-9,849 | — |
| 90 | 109 | -9.0% | $9,788 | $-9,787 | — |
| Delta | Short strike | Away from spot | Credit | Max loss | Risk : reward |
|---|---|---|---|---|---|
| 40Δ | 103 | -3.0% | $9,756 | $-9,755 | — |
| 25Δ | 107 | -7.0% | $9,874 | $-9,873 | — |
| 15Δ | 110 | -10.0% | $9,928 | $-9,927 | — |
Every covered call is a decision about how much of the upside you are prepared to sell. The premium is just the receipt.
| Days left | Delta | Gamma | Theta / day | Vega | Rho |
|---|---|---|---|---|---|
| 45 | +67.6 | -4.10 | $+3.84 | $-12.63 | $-3.78 |
| 21 | +77.2 | -5.04 | $+4.56 | $-7.25 | $-1.27 |
| 7 | +91.5 | -4.51 | $+3.95 | $-2.16 | $-0.16 |
The position at entry — stock $100 · 25% volatility. Per contract, from the model.
This is the part that decides whether the strategy works, and it is almost never put plainly.
You cannot be paid theta without being short gamma. They are not two features of the trade. They are the rent and the risk on one lease.
| Days left | Delta | Gamma | Theta / day | Vega | Rho |
|---|---|---|---|---|---|
| 45 | +67.6 | -4.10 | $+3.84 | $-12.63 | $-3.78 |
| 21 | +77.2 | -5.04 | $+4.56 | $-7.25 | $-1.27 |
| 7 | +91.5 | -4.51 | $+3.95 | $-2.16 | $-0.16 |
| Days left | Delta | Gamma | Theta / day | Vega | Rho |
|---|---|---|---|---|---|
| 45 | +48.2 | -4.34 | $+4.62 | $-14.62 | $-6.22 |
| 21 | +50.4 | -6.37 | $+6.49 | $-10.00 | $-2.84 |
| 7 | +53.9 | -10.97 | $+10.77 | $-5.75 | $-0.90 |
The trap here is that it is sold as a conservative strategy.
The upside is capped and the downside is not. That is the whole trade, in one sentence.
How this shows up in our tests — pending. No result has been published on this structure yet.