I'll start by identifying the stocks to look at. Since no specific stocks were mentioned, let me search for what's currently relevant in the market, and also check some major names.

Let me first look at some major, liquid stocks and their option chains. I'll check a few high-profile names: AAPL, MSFT, NVDA, TSLA, and AMZN.Now let me also get AMZN and MSFT option chains to round out the top 5.This is a lot of data. Let me now compute the IV vs RV comparison. I need to get actual historical volatility data for these stocks. Let me load recent price data and compute realized volatility.Now let me compile the IV vs RV analysis. From the option chains, I need to pull ATM IV for the near-term expiration (closest to spot for each stock):

Here's the summary:

IV vs RV: ATM Options (as of Jul 21–22, 2026)

Key Takeaways:

• AAPL is the only stock where IV is actually BELOW realized volatility. The options market is underpricing recent actual movement, with ATM IV around 33% vs 20-day RV of 37.5%.

• AMZN shows the biggest IV premium — ATM options are pricing ~42% IV vs just 25.7% actual realized vol, a gap of +16.3 percentage points. The market is pricing in significantly more future movement than what's been realized recently.

• MSFT also has a large IV premium at ~48% IV vs 34.9% RV (+13.1 pp gap).

• NVDA and TSLA have more modest premiums of roughly +6–9 pp, which is typical for high-beta names where elevated IV is the norm.

• Generally, IV > RV for 4 out of 5 names, meaning option sellers are being paid a volatility risk premium across most of big tech right now. AAPL is the exception — its options are actually cheap relative to recent realized movement.

To properly assess whether this VRP is harvestable, I need to check a few things: the term structure of IV (are near-term options unusually elevated vs further out?), the historical IV-RV relationship, and importantly, the bid-ask spreads to gauge transaction costs.

Let me look at IV across different tenors and check how wide the spreads are.Now let me pull together the key data we already have from the option chains. Let me compile the ATM IV across different expiration tenors for each stock:

From the earlier option chain data, I can extract approximate ATM IVs at different expirations. Let me organize this into a comprehensive answer.

VRP Harvestability Assessment

1. Current Context: IV vs RV — Full Picture

2. The Viable Candidates and the Risks

AMZN — looks best on surface (+16.3 pp gap), but there's a catch: - AMZN's 20d RV is at the 27th percentile — it's actually been unusually quiet lately - The 60d RV (28.3%) is slightly above 20d, suggesting vol was declining - The ATM bid-ask on Jul 24 options is roughly $0.42–$0.44 for a $245 straddle (~0.35% of spot). For a delta-hedged short straddle, that slippage eats into edge quickly - Verdict: The gap looks large because RV has been suppressed recently — this could mean IV is rightly elevated ahead of a catalyst (earnings?). Not a clean harvest.

MSFT — the most interesting candidate (+13.1 pp gap): - 20d RV at 34.9% is above its median (22.7%) but well below IV at 48% - 60d RV at 33.5% confirms vol is elevated vs history - ATM options are very liquid — Jul 24 $390 straddle has tight markets (~$0.10 spreads on each leg) - Verdict: The +13 pp spread combined with decent liquidity makes MSFT the strongest candidate for a short-vol position. The RV isn't suppressed — it's actually at the 61st percentile — so the IV premium is real, not a statistical artifact.

AAPL — IV is actually BELOW realized vol (−4.5 pp): - RV is at the 95th percentile over the past year (37.5% vs median 23.6%) - This is the opposite of a VRP harvest — options are cheap relative to actual movement - AAPL has been unusually volatile recently. If anything, this screams "buy vol" not "sell vol" - Verdict: Do not sell vol here. The gap is negative.

NVDA (+8.6 pp) and TSLA (+6.0 pp): - Both trade at structurally elevated IV. A 6–9 pp premium over an already-high ~35–57% RV base is modest. - NVDA's RV is dead-center at 50th percentile — fairly priced. - TSLA at 74th percentile RV with "only" +6 pp premium isn't compelling risk-reward. - Verdict: Thin edge, not worth the tail risk on these names.

3. Bottom Line

The MSFT 48% IV vs 35% RV gap is the standout. At that spread, a delta-hedged short straddle or strangle has meaningful edge, especially since MSFT options are liquid with tight spreads. However, the usual caveats apply: earnings risk, gap risk, and the need for disciplined position sizing.

Looking at the MSFT option chain data I already have, let me extract the specific ATM bid-ask information for the Jul 24 expiration (the most relevant near-term tenor).

From the MSFT option chain data from earlier:

MSFT — Jul 24, 2026 Expiration (Spot: $390.34)

ATM Straddle ($390 strike, closest to spot $390.34):

In percentage of spot terms: - Straddle mid: $10.93 / $390.34 = 2.80% of spot - Straddle bid-ask spread: $1.25 = 0.32% of spot (or ~11.4% of the straddle price)

Practical implications for harvesting the VRP:

The straddle costs about $1.25 in round-trip slippage per contract (~$125 per straddle). With the IV at ~47% vs 20d RV at 35%, the expected daily decay (theta) on the short straddle is meaningful — roughly $0.08–$0.12/day in the first week.

But here's the key friction: the bid-ask spread of 11.4% on the straddle means you need the IV-RV gap to persist for at least several days just to cover transaction costs. That $1.25 spread divided by ~$0.10/day theta means you need about 12–13 days of holding before slippage is recouped.

More practical alternatives: - The $390 Call alone has tighter sizing (bid size of only 3 vs ask of 6), but decent volume at 9,552 contracts - Iron condors or short strangles using OTM wings would reduce the upfront premium but also reduce gamma risk — typically preferred for VRP harvesting - The Sep 18 and Oct 16 expirations have much deeper liquidity (open interest in the tens of thousands) and would reduce the relative impact of bid-ask friction on longer-dated vol selling

Good point — using mid IV overstates what a seller actually captures. Let me calculate the IV at the bid (what you'd actually receive when selling) for each stock.Let me try a simpler approach:The compute environment seems to have an issue with scipy imports. Let me do this calculation manually using a well-known approximation instead.

Here's the manual calculation using the fact that for near-the-money short-dated ATM options, IV ≈ (option price × √(2π/T)) / S (a simplified ATM approximation):

IV at Bid vs Ask — ATM Options (Jul 24 Expiry, DTE ≈ 3)

For ATM options, the simplified IV formula is: σ ≈ (Premium / S) × √(2π / T)

IV at Bid vs 20-Day Realized Vol — The Real Gap

Key Findings at Bid Prices

The VRP shrinks materially when priced at the bid:

• AMZN still shows the widest gap at +12.8 pp, but the straddle bid-ask spread is 12% — you lose about 3 pp of IV just crossing the spread
• MSFT at +10.6 pp is now the most balanced candidate: still a healthy gap, liquid enough to manage, but the 12% straddle spread means roughly 2–3 days of theta just to break even on transaction costs
• NVDA narrows to just +6.6 pp at bid — and the options are very tight (2.7% straddle spread). Small but clean edge
• TSLA essentially disappears — +0.5 pp at bid vs RV of 57%. Not harvestable
• AAPL is firmly negative at −7.0 pp — IV bid is well below realized

The honest conclusion: After accounting for bid-side pricing, MSFT and AMZN are the only names with a meaningful harvestable gap. But even there, the 12% straddle spread means a short-vol trader gives back roughly 2–3 pp of that edge immediately. The actual harvestable premium is closer to +7–10 pp for MSFT and +9–10 pp for AMZN after slippage — still real, but not as fat as the mid-IV numbers suggested.

You're right — my math was sloppy. Let me correct this properly.

Jul 24 expiration settles in 2 days (it's Jul 22 today, expiry Jul 24).

A $390 straddle with 2 DTE, spot at $390.34, IV ~47%:

The straddle is essentially all gamma with minimal theta left. At 2 DTE, the daily theta is actually much larger than I stated, but the position is overwhelmingly about gamma P&L, not steady theta decay.

Let me reconsider the whole setup properly:

Reality Check: Near-Dated ATM Straddle at 2 DTE

• Straddle mid: ~$10.93 — this is the market's expected move
• Expected 1-day move at 47% IV: $390 × 0.47 / √252 ≈ $11.56
• Actual 20d RV (35%): implies a 1-day expected move of $390 × 0.35 / √252 ≈ $8.60
• So the market is pricing roughly $3/day more movement than what's been realized

But with 2 DTE: - Gamma is massive — every $1 move in spot generates meaningful delta change - The bid-ask spread of $1.25 on the straddle (~11.4% of premium) is brutal relative to remaining life - You'd need the stock to stay extremely range-bound for just 2 days to capture the remaining premium

More Practical Tenor for VRP: Go Further Out

For actual VRP harvesting, the near-dated options are the wrong instrument. Let me pull the relevant data from what we already have for Aug 21 (30 DTE) and Sep 18 (58 DTE):

MSFT ATM IV Across Tenors:

MSFT Sep 18 $390 Straddle (58 DTE) — from earlier chain data:

• Straddle mid: ~$51.10 (13.1% of spot)
• Straddle spread: $1.20 (~2.3% of straddle, or 0.31% of spot)
• ATM IV: ~41% vs 60d RV: 33.5% → +7.5 pp gap

The Honest Assessment

The problem is clear: the IV premium is largest at the front, but that's precisely where transaction costs and gamma risk are highest. By the time you go out to a tenor where spreads are manageable (Sep, ~58 DTE), the IV edge compresses from +13 pp to about +7.5 pp over 60d RV.

Bottom line: It's a marginal trade. A 7–8 pp edge on MSFT Sep with reasonable execution costs is possible but not a slam dunk. You'd be capturing roughly 41% IV vs 33.5% realized — that's a ~22% premium over RV, which is meaningful but not extraordinary for single-stock vol selling where you bear gap and earnings risk.