Relevance
9/10
Highly relevant to quantitative trading, particularly market making and HFT strategy design. The paper provides explicit analytical formulas for optimal bid-ask spreads and reservation prices, which are directly applicable to algorithmic market-making systems. It corrects and validates the foundational Avellaneda-Stoikov framework widely used in practice. However, the purely theoretical nature and simplifying assumptions limit direct practical implementation without further empirical calibration.
Implementation Complexity
4/10
The final results (Theorem 1) are explicit closed-form formulas for the spread and average reservation price, making implementation straightforward once model parameters (sigma, gamma, kappa, A, T-t, q) are estimated. However, the underlying derivation involves solving a hierarchy of nonlinear PDEs via asymptotic expansion and Feynman-Kac, which is mathematically complex. Parameter estimation for the exponential intensity function lambda(delta) = A*exp(-kappa*delta) requires empirical calibration.
Reproducibility
4/5
The paper is entirely theoretical with explicit closed-form solutions. All derivations are provided in the appendix. The mathematical framework is self-contained given the Bachelier model and exponential utility assumptions. No numerical experiments or code are provided, but the analytical results are fully reproducible from the stated assumptions.