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Statistical Arbitrage / Execution, Costs, and Portfolio Risk Management

Overview

A validated statistical-arbitrage signal — one that has passed DSR, CPCV, and the seven-sins checklist — still needs to be translated into a portfolio and then into orders. This translation introduces three sources of return drag that the backtesting unit treated as a single deduction: transaction costs (spread + impact), position-sizing and portfolio construction choices, and portfolio-level risk events. This topic makes each of those sources concrete.

The flow through this topic follows the live trading pipeline:

  1. Transaction cost models inform the portfolio construction engine of the cost of any given trade before it is placed.
  2. Portfolio construction uses the alpha, risk, and cost signals together to select the target weights.
  3. Execution algorithms (VWAP, TWAP, implementation-shortfall minimisation) deliver those target weights to market at minimal slippage.
  4. Portfolio risk management — factor hedging, leverage limits, drawdown circuit-breakers, and the 2007 quant quake as the canonical stress scenario — protects the capital base during market dislocations.

By the end of this topic you should be able to:

  • decompose a round-trip trading cost into commissions, slippage, and market impact components, and apply the flat / linear / piecewise-linear / quadratic cost models from Narang;
  • contrast rule-based portfolio construction (equal-dollar, equal-risk, signal-weighted) with optimiser approaches and articulate when each is preferred;
  • describe VWAP and TWAP benchmark schedules, explain why VWAP is problematic as a performance measure, and define implementation shortfall as arrival-price deviation;
  • explain factor hedging in a long-short book, specify the four drivers of the 2007 quant quake, and design a drawdown-based leverage circuit-breaker.

In this lesson

  1. Contents
  2. The big picture

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