Kalshi 15-Min NQ Expiry Indicator LIVE 3-MIN LOCK ENGINE

High-probability terminal binary probability & order-flow momentum analyzer for Nasdaq-100 (NQ) 15m contracts

Contract & Market Inputs Kalshi NQ-15M
NQ Current Spot Price ($S_t$) 21,450.50
Kalshi Contract Strike ($K$) 21,440.00
Realized Volatility ($\sigma_{15m}$ pts) 18.5 pts
Cumulative Volume Delta (CVD Momentum) +420 contracts
Kalshi "YES" Market Ask Price (¢) 74¢
Account Bankroll Allocation ($) $2,500
15-Min Expiry Trajectory T-3:00 Remaining (Min 12:00)
⏱️ DECISION WINDOW: 03:00
Bar Start (00:00) 3-Min Decision Lock (12:00) Expiry (15:00)
📐 Mathematical Formulation & 3-Minute Expiry Dynamics

1. Conditional Brownian Bridge Probability

For an NQ 15m binary option with current spot $S_t$, strike $K$, remaining time $\tau = T - t$, and instantaneous volatility $\sigma$:

d_2 = \frac{\ln(S_t / K) + (\mu - 0.5\sigma^2)\tau}{\sigma\sqrt{\tau}}, \quad P(S_T > K) = \Phi(d_2)

At $\tau = 3.0\text{ min}$, the diffusion variance collapses by 80% compared to bar open ($\sqrt{3/15} \approx 0.447$). A 10-point lead becomes mathematically dominant unless a >2.5$\sigma$ impulse occurs.

2. Order Flow Cumulative Volume Delta (CVD) Skew

We adjust drift parameter $\mu$ by institutional order book pressure and aggressive delta imbalances:

\mu_{\text{adj}} = \mu + \alpha \cdot \frac{\text{CVD}_{12m}}{\text{AvgVolume}_{15m}} \cdot \text{Sign}(S_t - S_0)

When CVD confirms price location above the strike, the probability of mean-reversion in the final 180 seconds drops significantly.

3. Kalshi Binary Expected Value & Kelly Sizing

Binary contracts pay 100¢ on resolution or 0¢ on loss. With market ask price $C$ cents:

\text{EV} = P_{\text{model}} \times (100 - C) - (1 - P_{\text{model}}) \times C

Fractional Kelly sizing ($f^* = 0.25 \times \frac{b \cdot p - q}{b}$) ensures controlled variance and avoids binary drawdowns during chop regimes.

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