Farmers & Merchants Bancorp, Inc. (FMAO) 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.

Farmers & Merchants Bancorp, Inc. (FMAO) operates in the Financial Services sector, specifically the Banks - Regional industry, with a market capitalization near $415.5M, listed on NASDAQ, employing roughly 474 people, carrying a beta of 0.81 to the broader market. Farmers & Merchants Bancorp, Inc. Led by Lars Eller, public since 2006-01-30.

Snapshot as of Jul 14, 2026.

Spot Price
$29.84
ATM IV
177.2%
IV Rank
71.6%
IV Percentile
98.4%
HV 20-Day
28.2%
IV Skew 25Δ
0.240

As of Jul 14, 2026, Farmers & Merchants Bancorp, Inc. (FMAO) at $29.84 has an ATM IV of 177.2%, implying a 30-day one-standard-deviation range of approximately ±$15.16. IV rank is 71.6% (elevated, distribution priced wider than typical). IV percentile is 98.4%. The 25-delta skew is +0.240: 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 FMAO probability analysis Data Feeds Strategy Selection

Strategy selection on Farmers & Merchants Bancorp, Inc. 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 177.2% 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 FMAO probability distribution

The probability cone above is the option-market-implied distribution of where Farmers & Merchants Bancorp, Inc. 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 177.2% and spot at $29.84, the 1σ band is approximately ±61.1% over a 30-day horizon. Recent realized HV-20 of 28.2% runs 149.0 vol points below the current implied, suggesting the chain is pricing more dispersion than the underlying has been delivering.

FMAO 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 FMAO 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 FMAO IV rank at 71.6%, the chain is pricing fatter tails than recent realized history; sellers earn the gap on average. 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 FMAO probability analysis questions

What is the FMAO 30-day expected price range?
As of Jul 14, 2026, with FMAO at $29.84 and ATM IV at 177.2%, the implied 30-day one-standard-deviation range is approximately ±$15.16, or about $14.68 to $45.00. IV rank is elevated, so the priced distribution is wider than the 1-year typical width.
What does FMAO risk-neutral density tell us?
Risk-neutral density is the probability distribution of future FMAO 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 FMAO 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.