Market Parameters
ParameterValue
Spot S₀
Strike K
Maturity T yrs
Volatility σ ann.
Risk-free r ann.
Quantum Wave Parameters
ParameterValue
ħ_f scale
k₁ mode 1
k₂ mode 2
w₁
w₂
φ₀ rad
σ₀ init.
Configure and compute
Set wave parameters in the Data tab,
then click ▶ Compute Price.
Instrument
Quantum Price
€ · wave-mechanical price
Black-Scholes
€ · classical reference
Quantum Premium
% above / below BS
Interference Term
€ · Ψ₁∗Ψ₂ contribution
Price vs Spot — Quantum vs Black-Scholes
Implied Vol Smile — Quantum correction
Price Component Breakdown
Component Value (€)Share (%)Notes
Wave-Mechanical Interpretation
Configure and compute
Set position parameters in the sidebar,
then click ▶ Compute Greeks.
Greeks
Quantum Delta Δ
∂C/∂S · shares to hedge
Quantum Gamma Γ
∂²C/∂S² · convexity
Quantum Vega ν
€/vol-pt · per 1% σ move
Quantum Theta Θ
€/day · time decay
Delta vs Spot — Quantum vs BS
Gamma vs Spot
Vega vs Spot — Quantum vs BS
Theta vs Spot — Quantum vs BS
Xi (ξ) — Price vs ħ_f
∂C/∂ħ_f · Planck Greek
Phi (φ_g) — Price vs Phase φ₀
∂C/∂φ₀ · Phase Greek
Kappa (κ_Q) — Price vs k₁
∂C/∂k₁ · Coherence Greek
Quantum Greeks Profile vs Spot
ξ, φ_g, κ_Q across spot range
Greeks Comparison — Quantum vs Black-Scholes
GreekQuantumBlack-ScholesDifferenceΔ%
Quantum-Specific Greeks
GreekSymbolValueSensitivityInterpretation
Hedge Ratio & Portfolio Sensitivity
MetricValueNotes
Hedging Interpretation
Configure and compute
Set portfolio parameters in the sidebar,
then click ▶ Compute Risk.
Risk
Quantum VaR
k€ · loss at confidence level
Quantum ES
k€ · expected shortfall
Decoherence Time
days · coherence horizon
Wave Stress Loss
k€ · under wave shock
Loss Distribution — Quantum vs Gaussian
Stress Scenarios P&L
Risk Summary Table
MetricQuantumClassicalRatio
Risk Interpretation
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