Answer: negatively correlated with the portfolio's assets.

## Explanation Insurance on a portfolio of risky assets is most likely **negatively correlated** with the portfolio's assets. Here's why: ### Key Concept: Insurance as a Hedge Insurance acts as a hedge against losses in the underlying portfolio. When the portfolio's assets decline in value, the insurance pays out, providing compensation for those losses. This creates an inverse relationship: - **When portfolio assets perform poorly** (decrease in value) → Insurance pays out (increases in value) - **When portfolio assets perform well** (increase in value) → No insurance payout needed (insurance has no or minimal value) ### Mathematical Relationship If we consider: - Portfolio return = Rₚ - Insurance return = Rᵢ The correlation coefficient ρ(Rₚ, Rᵢ) would be negative because: - Rₚ ↑ → Rᵢ ↓ (or remains low) - Rₚ ↓ → Rᵢ ↑ ### Real-World Example Consider portfolio insurance strategies like put options: - Buying put options on a stock portfolio provides downside protection - When stocks fall, put options increase in value - When stocks rise, put options expire worthless or lose value ### Why Not the Other Options? - **Option B (uncorrelated)**: Incorrect because insurance is specifically designed to respond to portfolio performance - **Option C (positively correlated)**: Incorrect - this would mean insurance pays out when the portfolio does well, which defeats the purpose of insurance ### CFA Curriculum Context This concept relates to: 1. Risk management strategies 2. Portfolio hedging techniques 3. Understanding correlation in portfolio construction 4. Insurance products as risk mitigation tools **Correct Answer: A** - Insurance on a portfolio of risky assets is most likely negatively correlated with the portfolio's assets.

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