SPY — implied distribution for Oct 16, 2026
Large, liquid index ETF chain. Tight spreads, modest downside skew, well-behaved smile.
Underlying / spot
SPY $578.40
As of Sep 25, 2026
Expiration
Oct 16, 2026
21d to expiry · T = 0.058y
1σ implied move
±3.7%
σ of terminal price = $21.32
Implied expected price
$579.35
+0.2% vs spot · median $580.16
P(finish below spot)
46.5%
P(above spot) = 53.5%
Left tail: P(≤ −10%)
0.9%
Below $520.56
Right tail: P(≥ +10%)
0.1%
Above $636.24
5th / 95th percentile
$543 – $613
90% implied confidence interval
Options imply a broadly symmetric distribution
Left and right tails are close (6.1% vs 6.0%), with an implied drift of 0.2% to the risk-neutral mean.
Risk-neutral density
Probability of each terminal price
Cumulative probability
P(S_T ≤ K) across strikes
Volatility smile
Raw call IVs vs smoothed fit
Call price by strike
Market mids vs Black-Scholes refit