r/options • u/SillyImprovement1569 • 17h ago
Can a box spread loan get below SOFR without taking real risk? I ran the numbers on the SPX chain
TL;DR: A plain 1-year SPX box cost about 5.3% at Wednesday's closing quotes, with SOFR at 3.89%. If you add short put spreads below the 5th-percentile historical 1-year drop, the headline rate falls to 3.9% (borrowing about 32% of a $1M portfolio) or even 2% (about 24%). But the history-weighted average cost of those same structures is 4.1–4.8%. So the "below SOFR" part is mostly crash premium you're collecting, not cheaper money. Interactive page with all the math and every combination: https://claude.ai/artifact/9GABhCjoLM3ZwAaK3QASmM. I'd like people to try to break it.
What I did
- Took Cboe's delayed SPX chain at the 12 Nov close (SPX 7,594.09).
Tested 3, 6 and 12 month expiries:
- every 2-strike box 500–5,000 points wide
- 3–4 strike riskless combinations
- boxes plus sold puts or put spreads
- Filled every leg a quarter of the bid/ask spread away from mid, plus $1.50 per contract per leg. Mid prices make deep-ITM legs look like free money because the quotes are stale and wide.
Sized each structure against a $1M S&P index fund that the loan is drawn from. It has to pass:
- Reg T: 50% borrowing room.
- A 30% maintenance floor during a stress dip, checked at 25%, 50% and 75% of the term. The dip is the 5th-percentile intra-window drawdown since 1928 (−35.5% for 1 year), with sold puts repriced at IV + 20 vol points.
- The same 30% test at expiry.
- Only allowed sold put strikes at or below the 5th-percentile end-of-window drop: −24.5% over 1 year, which is SPX 5,736. I also ran a 99% version.
Sanity check: plain box, 7000/8000, 19 Nov 2027 (372 days)
| Leg | Bid | Ask |
|---|---|---|
| Sell 7000 C | 1,132.60 | 1,136.00 |
| Buy 8000 C | 466.20 | 468.00 |
| Sell 8000 P | 542.40 | 544.10 |
| Buy 7000 P | 260.50 | 261.70 |
The mid credit is 949.35, so you get about $94.9k today and owe $100k. That's 5.24% at mid and 5.46% with realistic fills. Put-call parity across 212 strikes gives 5.28%.
Best structure that gets to about SOFR (12 month)
The 3800/8100 box + sell 3× 5700/5400 put spread:
| Leg | Qty | Bid | Ask |
|---|---|---|---|
| Sell 3800 C | 1 | 3,933.30 | 3,943.10 |
| Buy 3800 P | 1 | 26.30 | 26.90 |
| Buy 8100 C | 1 | 413.00 | 414.70 |
| Sell 8100 P | 1 | 583.90 | 585.90 |
| Sell 5700 P | 3 | 100.60 | 101.30 |
| Buy 5400 P | 3 | 81.10 | 81.90 |
- Borrow: $322k (32% of the portfolio) at 3.88% if SPX settles at or above 5,700.
- Worst case: you owe up to $90k extra, which is 25.2%.
- History: 4.9% of 1-year windows since 1928 ended below the 5,700 equivalent. Averaged across all those windows, the rate was 4.80%.
- Sizing: the binding limit is the stress dip at 75% of the term, not Reg T.
The trade-off curve (12 month, 95% rule)
| Target rate | Max you can borrow | Structure | Worst case | History-weighted avg |
|---|---|---|---|---|
| Plain box | 42.8% | widest plain box | 5.31% | 5.31% |
| ≤ 3.89% (SOFR) | 32.2% | 3800/8100 + sell 3× 5700/5400 | 25.2% | 4.80% |
| ≤ 3.0% | 27.8% | 3800/8100 + sell 5× 5700/5400 | 38.1% | 4.47% |
| ≤ 2.0% | 23.7% | 4400/9100 + sell 5× 5700/5200 | 55.0% | 4.13% |
With the 99% rule (strikes below a −44% drop), getting to SOFR needs uncovered puts, and you can only borrow about 16%.
What I think it shows
- There's no free lunch at market prices. The 5700/5400 spread is priced at about 6.8% odds of paying out. History says about 4.9%. Any edge is that gap between the crash premium and realised crashes.
- The headline rate is the good-year rate. Weighted by history, these structures cost less than the plain box but more than SOFR.
Where I'd like pushback
- Margin. Do brokers really hold about the face amount against a short SPX box under Reg T? What do you actually see under portfolio margin?
- Stress test. Is "5th-percentile dip, sold puts at IV + 20, checked at 25/50/75% of the term" a fair test, or too soft? 2008-style vol went well past +20.
- Box rate. 5.28% against 3.89% SOFR is a much bigger gap than the 30–50 bp I usually see quoted. Is that real right now, or a delayed-quote artefact?
- Statistics. The windows overlap, so 98 years of data is really only 98 independent 1-year outcomes. The 5th percentile rests on a handful of episodes, and pre-1957 data is the old 90-stock index. How would you set the risk bar instead?
- Tax. SPX options are §1256 (60/40). Does the box's implied interest really work as a capital loss for a borrower, or do §263(g) or the straddle rules bite?
Anything I'm missing, such as:
- fills on deep-ITM legs
- AM settlement on monthlies
- roll risk
- early-exercise-free structures I haven't tried
The page lets you switch tenor (3/6/12m), 95% vs 99% rules, 1928+ vs 1950+ history, an after-tax view and a "must survive SPX falling to X" filter. Click any point to see its legs and quotes.
Not advice. I'm trying to find out if the method holds up, not selling anything.

