Kyle's Lambda Estimation - Quant Researcher Interview Question
Difficulty: Hard
Category: market microstructure
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Topics: regression, pandas, market-microstructure, quantitative-finance
Problem Description
Kyle's Lambda is a fundamental metric in market microstructure derived from the Kyle (1985) model, used to quantify the price impact of order flow and the cost of demanding liquidity. It posits a linear relationship between price changes and signed order flow, where the slope coefficient ($\lambda$) represents the illiquidity or depth of the market.
Task
Implement the function estimate_kyles_lambda to calculate the rolling Kyle's Lambda ($\lambda$) coefficient using Ordinary Least Squares (OLS)
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