Position Inputs

$
Market value of the position
%
Daily return standard deviation
trading days
1 day standard; 10 days for Basel regulatory VaR
%
Full quoted spread (liquidity cost = half spread)
Formula Reference
LVaR = VaR + LC
VaR = V × σdaily × z × √T
LC = ½ × Spread% × V

V = Position Value, σ = Daily Volatility, z = z-score, T = VaR Horizon, LC = Liquidity Cost

Model Assumptions
  • Single-transaction liquidation: Assumes the entire position is liquidated in one transaction at the quoted spread. Gradual unwinding may lower transaction costs but extends market-risk exposure.
  • Position marked at mid price: Current value is the mid-market price.
  • No market impact: This basic model uses a fixed spread and does not incorporate price impact from large orders.
  • Normal distribution: Returns assumed normally distributed.
  • Expected return/drift ignored: Zero-drift assumption over short horizons.

For educational purposes. Not financial advice. These thresholds are illustrative guidance, not regulatory standards.

Ryan O'Connell, CFA
Calculator by Ryan O'Connell, CFA

LVaR Results

Liquidity-Adjusted VaR $35,890 3.589%
Standard VaR $34,890
Standard VaR (%) 3.489%
Liquidity Cost $1,000
Liq. Adj. (%) 2.87%
Liquidity Adjustment (% of VaR) 2.87%

VaR vs. Liquidity Cost Breakdown

LVaR Sensitivity to Bid-Ask Spread

Bid-Ask Spread Liquidity Cost LVaR ($) LVaR (%) Liquidity Adj. %

Step-by-Step Calculation

LVaR = VaR + LC
VaR = V × σdaily × z × √T

When to Use This Calculator

Standard VaR measures potential market losses but ignores transaction costs. This Liquidity-Adjusted VaR calculator adds an estimate of the liquidation cost from bid-ask spreads, providing a more complete risk picture for less liquid positions.

  • VaR Calculator: Use for basic total portfolio VaR (parametric method)
  • Liquidity-Adjusted VaR Calculator: Use when liquidity risk is material — wide spreads, illiquid assets, or stress scenarios
  • VaR Decomposition Calculator: Use to break down portfolio VaR into per-asset contributions

For related risk analysis, see the Liquidity Risk Management article and Value at Risk guide.

Understanding Liquidity-Adjusted VaR

What is Liquidity-Adjusted VaR?

Liquidity-Adjusted VaR (LVaR) extends standard Value at Risk by adding an estimate of liquidation costs. While standard VaR measures potential market losses, LVaR also accounts for the bid-ask spread you would pay when exiting a position under stress. The formula is simply:

LVaR Formula
LVaR = VaR + Liquidity Cost
Liquidity Cost = ½ × Bid-Ask Spread × Position Value
We use half the spread because when selling, you receive the bid price (half the spread below mid).

Standard VaR vs. LVaR

Standard VaR

Measures potential market loss assuming frictionless liquidation. Appropriate for highly liquid assets where spread costs are negligible.

Liquidity-Adjusted VaR

Adds bid-ask spread cost to VaR. More realistic for illiquid positions, corporate bonds, small-cap stocks, or crisis scenarios when spreads widen.

When Liquidity Matters: In normal markets, liquidity costs are often small relative to VaR. But during stress periods, bid-ask spreads can widen dramatically (2-10x normal), making liquidity cost a significant or dominant component of total risk.
One-Tailed Confidence: VaR uses one-tailed confidence levels. A 99% VaR means there is a 1% probability of losses exceeding the VaR amount (not 0.5% as in two-tailed tests). The z-score for 99% one-tailed is 2.326, not 2.576.
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Frequently Asked Questions

Liquidity-Adjusted VaR extends standard Value at Risk by adding an estimate of liquidation costs. While standard VaR measures potential market losses, LVaR also accounts for the bid-ask spread you would pay when exiting a position under stress. This provides a more complete picture of potential losses, especially for less liquid assets.

The liquidity cost is calculated as half the bid-ask spread multiplied by the position value: LC = 0.5 × Spread% × Position Value. We use half the spread because when selling, you receive the bid price, which is typically half the spread below the mid-market price.

The Liquidity Adjustment percentage shows how much the liquidity cost adds to your standard VaR, expressed as a percentage of VaR. For example, if your VaR is $100,000 and the liquidity cost is $5,000, the liquidity adjustment is 5%. Values above 10% (yellow) or 30% (red) indicate that liquidity risk is becoming a significant component of total risk. These thresholds are illustrative guidance, not regulatory standards.

Liquidity cost becomes material when the bid-ask spread is wide relative to the asset's volatility. For highly volatile assets, the VaR component dominates. For stable assets with wide spreads (like some corporate bonds or small-cap stocks), liquidity cost can exceed VaR itself. The sensitivity table helps visualize this relationship across different spread levels.

This calculator assumes you liquidate the entire position in one transaction at the quoted bid-ask spread. In practice, large positions are often unwound gradually over time. Gradual unwinding may lower transaction costs but extends the liquidation horizon, increasing market-risk exposure. The net effect on total risk depends on this trade-off.

The VaR horizon affects only the VaR component, not the liquidity cost. VaR scales with the square root of time (σ × √T), so a 10-day VaR is approximately 3.16 times larger than a 1-day VaR. The liquidity cost remains constant regardless of horizon because it represents a one-time transaction cost at liquidation.

No, this basic model assumes a fixed bid-ask spread and does not incorporate market impact or spread volatility. For large positions, actual liquidation costs may be higher due to market impact from the trade itself. More sophisticated models (such as Bangia et al. 1999) incorporate spread volatility and market impact.
Disclaimer

This calculator is for educational purposes only. It uses a simplified spread-only liquidity model that assumes a fixed bid-ask spread and single-transaction liquidation. Actual liquidity risk depends on position size, market conditions, spread volatility, and market impact. For precise risk measurement, use institutional risk management systems. This tool should not be used for trading or investment decisions.

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Course by Ryan O'Connell, CFA, FRM

Value at Risk (VaR) Course

Master Value at Risk from fundamentals to advanced applications. Covers parametric, historical, and Monte Carlo VaR methods with real portfolio applications.

  • Parametric, historical, and Monte Carlo VaR methods
  • Liquidity-adjusted VaR and bid-ask spread modeling
  • VaR decomposition and risk attribution
  • Regulatory VaR under Basel frameworks
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