What is the PKOH 30-day expected price range?

As of May 28, 2026, with PKOH at $33.30 and ATM IV at 91.1%, the implied 30-day one-standard-deviation range is approximately ±$8.70, or about $24.60 to $42.00. IV rank is subdued, so the priced distribution is tighter than the 1-year typical width.

What does PKOH risk-neutral density tell us?

Risk-neutral density is the probability distribution of future PKOH price implied by listed option prices. Extracted via Breeden-Litzenberger (twice-differentiating the call price function with respect to strike), it represents the pricing kernel rather than the real-world probability of outcomes. Persistent skew or fat-tail features in the density reflect how the market is pricing tail risk.

How does PKOH ATM IV translate to a probability range?

ATM IV is annualized; multiplying by sqrt(t/365) scales it to the chosen tenor. Under lognormal assumptions, the resulting standard deviation defines the ±1σ band that contains roughly 68% of outcomes, ±2σ for 95%. Empirical equity returns have fatter tails than log-normal, so the implied tail probabilities under-state realized tail frequency in stressed regimes.

Park-Ohio Holdings Corp. (PKOH) Probability Analysis

Probability analysis extracts the risk-neutral probability distribution implied by option prices. It shows the market-implied likelihood of the underlying reaching various price levels by expiration.

Park-Ohio Holdings Corp. (PKOH) operates in the Industrials sector, specifically the Industrial - Machinery industry, with a market capitalization near $480.9M, listed on NASDAQ, employing roughly 6,300 people, carrying a beta of 1.17 to the broader market. Park-Ohio Holdings Corp. Led by Matthew V. Crawford, public since 1973-02-21.

Snapshot as of May 28, 2026.

Spot Price: $33.30
ATM IV: 91.1%
IV Rank: 18.2%
IV Percentile: 67.9%
HV 20-Day: 51.1%
IV Skew 25Δ: 0.671

As of May 28, 2026, Park-Ohio Holdings Corp. (PKOH) at $33.30 has an ATM IV of 91.1%, implying a 30-day one-standard-deviation range of approximately ±$8.70. IV rank is 18.2% (subdued, distribution priced tighter than usual). IV percentile is 67.9%. The 25-delta skew is +0.671: upside tail priced richer than downside, biasing probability mass above spot. Under lognormal assumptions roughly 68% of outcomes fall within ±1σ and 95% within ±2σ; risk-neutral probability analysis refines this by extracting the market-implied distribution directly from options prices, capturing the fat tails that real markets exhibit.

How PKOH probability analysis Data Feeds Strategy Selection

Strategy selection on Park-Ohio Holdings Corp. options does not derive from any single metric in isolation. The probability analysis view above sits inside a broader read: ATM IV currently sits at 91.1% and dealer gamma exposure is positive, so dealer hedging is mechanically mean-reverting. Combine the probability analysis data here with the volatility-skew surface, dealer-gamma exposure, max-pain level, and upcoming-events calendar to build a positioning thesis. Risk-defined structures (credit spreads, debit spreads, iron condors) are usually safer than naked positions while the regime is uncertain; the data on this page anchors the inputs but does not by itself constitute a trade thesis.

How to read the PKOH probability distribution

The probability cone above is the option-market-implied distribution of where Park-Ohio Holdings Corp. spot could end up at expiration. It's derived from the implied-volatility surface via a risk-neutral pricing transformation, not from historical realized returns. With ATM IV at 91.1% and spot at $33.30, the 1σ band is approximately ±31.4% over a 30-day horizon. Recent realized HV-20 of 51.1% runs 40.0 vol points below the current implied, suggesting the chain is pricing more dispersion than the underlying has been delivering.

PKOH risk-neutral vs real-world probabilities

The probabilities derived from option prices reflect the market's risk-adjusted view, not the realized statistical distribution. Risk-neutral probabilities include the equity risk premium and skew preferences priced into options, so they tend to overstate tail probability and understate upside drift relative to actually-realized outcomes. For probability-of-touch calculations and assignment-risk modeling, risk-neutral is the right benchmark. For position-sizing your own conviction, blend with realized-volatility-based statistics from the HV columns.

Trading the PKOH distribution

Probability-driven strategies aim to capture mispricings between the implied distribution and your own probability assessment. Premium-selling structures (credit spreads, iron condors, cash-secured puts) profit when the implied distribution overprices tail probability relative to realized; premium-buying (debit spreads, long calls/puts, long straddles) profits in the reverse. With PKOH IV rank at 18.2%, the chain is pricing tighter tails than recent realized history; buyers get cheaper optionality but need a real catalyst to monetize. Always pair probability-driven strategy selection with a stop loss or wing-defined risk - the implied distribution is a snapshot, and regime shifts can invalidate it intraday.

Learn how risk-neutral density is reported and how to read the data →

Frequently asked PKOH probability analysis questions

What is the PKOH 30-day expected price range?: As of May 28, 2026, with PKOH at $33.30 and ATM IV at 91.1%, the implied 30-day one-standard-deviation range is approximately ±$8.70, or about $24.60 to $42.00. IV rank is subdued, so the priced distribution is tighter than the 1-year typical width.
What does PKOH risk-neutral density tell us?: Risk-neutral density is the probability distribution of future PKOH price implied by listed option prices. Extracted via Breeden-Litzenberger (twice-differentiating the call price function with respect to strike), it represents the pricing kernel rather than the real-world probability of outcomes. Persistent skew or fat-tail features in the density reflect how the market is pricing tail risk.
How does PKOH ATM IV translate to a probability range?: ATM IV is annualized; multiplying by sqrt(t/365) scales it to the chosen tenor. Under lognormal assumptions, the resulting standard deviation defines the ±1σ band that contains roughly 68% of outcomes, ±2σ for 95%. Empirical equity returns have fatter tails than log-normal, so the implied tail probabilities under-state realized tail frequency in stressed regimes.