What is the PBRG 30-day expected price range?

As of Oct 13, 2026, with PBRG at $66.53 and ATM IV at 88.4%, the implied 30-day one-standard-deviation range is approximately ±$16.86, or about $49.67 to $83.39. IV rank is subdued, so the priced distribution is tighter than the 1-year typical width.

What does PBRG risk-neutral density tell us?

Risk-neutral density is the probability distribution of future PBRG 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 PBRG 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.

Themes ETF Trust - Leverage Shares 2X Long PBR Daily ETF (PBRG) 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.

Themes ETF Trust - Leverage Shares 2X Long PBR Daily ETF (PBRG) operates in the Financial Services sector, specifically the Asset Management industry, with a market capitalization near $1.7M, listed on NASDAQ, carrying a beta of -2.49 to the broader market. PBRG is designed for making bullish bets on the stock price of Petroleo Brasileiro S. public since 2025-12-18.

Snapshot as of Oct 13, 2026.

Spot Price: $66.53
ATM IV: 88.4%
IV Rank: 14.3%
IV Percentile: 67.1%
HV 20-Day: 92.6%
IV Skew 25Δ: 0.010

As of Oct 13, 2026, Themes ETF Trust - Leverage Shares 2X Long PBR Daily ETF (PBRG) at $66.53 has an ATM IV of 88.4%, implying a 30-day one-standard-deviation range of approximately ±$16.86. IV rank is 14.3% (subdued, distribution priced tighter than usual). IV percentile is 67.1%. The 25-delta skew is +0.010: roughly symmetric wings. 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 PBRG probability analysis Data Feeds Strategy Selection

Strategy selection on Themes ETF Trust - Leverage Shares 2X Long PBR Daily ETF 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 88.4% and dealer gamma exposure is negative, so dealer hedging amplifies directional moves. 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 PBRG probability distribution

The probability cone above is the option-market-implied distribution of where Themes ETF Trust - Leverage Shares 2X Long PBR Daily ETF 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 88.4% and spot at $66.53, the 1σ band is approximately ±30.5% over a 30-day horizon. Recent realized HV-20 of 92.6% runs 4.2 vol points above current implied, an inverted regime where premium buyers are underpaying.

PBRG 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 PBRG 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 PBRG IV rank at 14.3%, 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 PBRG probability analysis questions

What is the PBRG 30-day expected price range?: As of Oct 13, 2026, with PBRG at $66.53 and ATM IV at 88.4%, the implied 30-day one-standard-deviation range is approximately ±$16.86, or about $49.67 to $83.39. IV rank is subdued, so the priced distribution is tighter than the 1-year typical width.
What does PBRG risk-neutral density tell us?: Risk-neutral density is the probability distribution of future PBRG 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 PBRG 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.