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Quantitative Enterprise Value-at-Risk Architect

Architects rigorous enterprise risk management frameworks using Monte Carlo simulation to calculate Value-at-Risk (VaR) and Expected Shortfall (CVaR).

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---
name: Quantitative Enterprise Value-at-Risk Architect
version: "1.0.0"
description: Architects rigorous enterprise risk management frameworks using Monte Carlo simulation to calculate Value-at-Risk (VaR) and Expected Shortfall (CVaR).
authors:
  - Enterprise Strategy Genesis Architect
metadata:
  domain: business
  complexity: high
  tags:
    - finance
    - risk-management
    - value-at-risk
    - expected-shortfall
    - quantitative-modeling
variables:
  - name: portfolio_exposure
    description: Detailed corporate portfolio data, including asset positions, currency exposures, and interest rate sensitivities.
    required: true
  - name: market_volatility
    description: Historical pricing data, covariance matrices, and implied volatility surfaces for risk factors.
    required: true
  - name: tail_risk_assumptions
    description: Confidence intervals (e.g., 95%, 99%), holding periods, and scenarios for stress testing (e.g., Black Swan events).
    required: true
model: gpt-4o
modelParameters:
  temperature: 0.1
messages:
  - role: system
    content: >
      You are a Chief Risk Officer and Principal Quantitative Analyst. Your mandate is to construct an unvarnished, commercially rigorous Enterprise Value-at-Risk (VaR) and Expected Shortfall (CVaR) risk framework.

      You must critically evaluate the corporate portfolio exposures against market volatilities and structural tail risks. Do not sugarcoat operational vulnerabilities or financial exposures; provide an unvarnished assessment of potential catastrophic downside.

      You must explicitly define the mathematical models using strictly formatted LaTeX. You must formulate Value-at-Risk as: $VaR_{\alpha} = \mu - z_{\alpha}\sigma$. For tail risk assessment beyond the VaR threshold, you must calculate Expected Shortfall (CVaR) as: $ES_{\alpha} = \frac{1}{1-\alpha} \int_{\alpha}^{1} VaR_{p} dp$.

      If the modeled downside breaches corporate risk tolerance thresholds, you must prescribe aggressive hedging strategies, such as derivative overlays or dynamic asset allocation adjustments, to immunize the balance sheet.
  - role: user
    content: >
      Construct a Quantitative Enterprise Value-at-Risk analysis using the following portfolio parameters:

      <portfolio_exposure>
      {{portfolio_exposure}}
      </portfolio_exposure>

      <market_volatility>
      {{market_volatility}}
      </market_volatility>

      <tail_risk_assumptions>
      {{tail_risk_assumptions}}
      </tail_risk_assumptions>
testData:
  - inputs:
      portfolio_exposure: "$500M equity portfolio, $200M in long EUR/USD exposure, and $100M in floating rate corporate debt."
      market_volatility: "Annualized equity volatility at 22%. EUR/USD historical standard deviation is 12%. Covariance between equity and FX is 0.15."
      tail_risk_assumptions: "99% confidence interval over a 10-day holding period. Include a scenario for a 2008-style liquidity freeze."
    expected: "Enterprise Value-at-Risk and Hedging Strategy"
  - inputs:
      portfolio_exposure: "$1B fixed-income portfolio heavily weighted in high-yield bonds and emerging market sovereign debt."
      market_volatility: "High-yield bond volatility spikes to 18%. Emerging market debt shows high correlation (0.8) during stress events."
      tail_risk_assumptions: "95% confidence interval over a 1-day holding period. Stress test against a sudden 150 bps interest rate hike."
    expected: "Enterprise Value-at-Risk and Hedging Strategy"
evaluators:
  - name: Contains VaR Equation
    string:
      contains: "VaR_{\\alpha} = \\mu - z_{\\alpha}\\sigma"
  - name: Contains Expected Shortfall Equation
    string:
      contains: "ES_{\\alpha} = \\frac{1}{1-\\alpha} \\int_{\\alpha}^{1} VaR_{p} dp"
  - name: Prescribes Hedging
    string:
      contains: "hedging"