Risk Management Flashcards
Broad Market Risk Portfolio Strategies (3)
- Diversification of Assets in Portfolio
- Strategy appropriate for liabilities
- Derivatives to hedge risk
Market Risk Management Activities (5)
- Setting and Monitoring Policies
- Setting and Monitoring Limits (overall, by asset class, individual security and counter-party)
- Reporting
- Capital Management
- Risk Portfolio Strategies (diversification,matching, hedging)
Components of Market Risk Policies
- Roles and Responsibilities
- Delegation of Authority and Limits
- Risk Measurement and Reporting
- Valuation and Back-Testing
- Hedging Policy
- Liquidity Policy
- Exception Mangement
Pros (3) and Cons (8 risks) of Derivatives
Pros: - Cost compared to trading underlying - Flexibility (tailored) - Speed of Exposure Changes Cons: - Associated Risks: - Counterparty - Aggregation/Concentration - Operational - Liquidity - Basis Risk - Loss of Upside - Reputational - Settlement
Reducing Counterparty Risks Derivatives (2)
- Cash Deposits/Margin for Exchange Traded Contracts
- Financial securities acceptable to counterparty (collateral) for over the counter contracts.
Define Normal Backwardation and Contango
Normal Backwardation: Futures price below expected value of future spot price (high demand for short positions by owners of asset)
Contango: Above expected value of future spot price (strong demand for long positions due to storage costs)
Define Optimal Hedge Ratio and Number of Contracts
Optimal Hedge Ratio = psigma_s/sigma_f
where sigma_s = std of spot price of asset, sigma_f = std of spot price of futures.
Multiply Hedge Ratio by Portfolio/Value of futures contract
Managing FX Risk
Hedged for bonds, but not for equities due to complex exposure.
- Currency forwards and futures (based on current spot price and interest rates in both countries).
- Currency Swaps (series of forward)
- Currency Options
- Netting revenues
- Leading and Lagging for anticipated movements
Difficulties in Hedging Exposure to Options
- Number of derivatives is large >m^2 (m, 1/2m(m+1) vegas and gammas)
- Significant costs of rebalancing limits frequency, often done daily in dynamic delta hedging
- Lack of suitable traded derivatives or poor liquidity
- Separation from overall portfolio delta,gamma and vegas from individual assets, therefore managed using limits (traders and firm)
Managing Interest Rate Risk
- Direct Exposure (direct impact on cashflows)
- Forward Rate Agreements
- Caps and Floors - Indirect Exposure (PV of future cashflows)
- Cashflow matching (removing all market risk, often idealistic benchmark)
- Interest rate swaps (removing only interest rate risk)
- Swaptions (one sided protection)
- Immunisation (Protecting present value, only works for small parallel shifts in yield curve, requires frequent rebalancing)
- Model point hedging (optimum set of assets to minimize difference between asset and liability cashflows at reference points in future)
Requirements for Immunisation
- PV of cashflows is equal for assets and liabilites
- Discounted mean term for
cashflows of each is equal (duration) - Convexity of assets > liabilities
(Change in duration/Change in interest rate)
Difficulties of Cashflow Matching (3) and Immunisation (remaining 5)
- Suitable assets not available
- Uncertain future cashflows
- Expected future cashflows may change frequently, costly to alter portfolio.
- While PV cashflows is matched, timing isn’t
- Protects PV only to changes in interest rate, but not all issues of timing and amounts (c.f. cashflow matching)
- Only applies for small changes in interest rates
- Only for parallel shifts in yield curve
- Requires regular rebalancing.
Types of Margins in Exchange Traded Contract
- Initial Margin (function of size and anticipated volatility)
- Marking to Market Process (adds/subtracts from margin in line with market movements)
- Maintenance margin (must be maintained after mark to market process)
- Variation Margin (top up amount required in mark to market process)
What is Dynamic Hedging
Can be difficult for writers of options to find opposite trades (since few writers in market), and must therefore find other ways of maintaining delta neutral portfolios. This is dynamic hedging, made difficult by cost of frequent rebalancing.
Risks of Delta, Gamma and Vega non-neutrality
- Delta - Risk of change in asset values.
- Gamma - Risk of requiring frequent, costly rebalancing, and risk inbetween.
- Vega - Risk of incorrectly specified parameter.