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Risk Management • Examples of good and bad risk management • Good or bad risk management is NOT the same as profits and losses. • There are many examples of good RM that lead to losses and bad RM that lead to gains. Feb-2001
Barings • February 26, 1995 • 233 year old bank • 28 year old Nick Leeson • $1,300,000,000 loss • bought by ING for $1.5 Feb-2001
Metallgesellshaft • 14th largest industrial group • 58,000 employees • offered long term oil contracts • hedge by long-term forward contracts • short term contracts were used (rolling hedge) • 1993 price fell from $20 to $15 • $1B margin call in cash Feb-2001
Orange County • Bob Citron, the county treasures • $7.5B portfolio (schools, cities) • borrowed $12.5B, invested in 5yr. notes • interest rates increased • reported at cost - big mistake! • realized loss of $1.64B Feb-2001
Public Funds ($ million) • Orange County 1,640 • San Diego 357 • West Virginia 279 • Florida State Treasury 200 • Cuyahoga County 137 • Texas State 55 Feb-2001
E. Put X premium X Underlying Put Value before Expiration Feb-2001
Collar • Firm B has shares of firm C of value $200M • They do not want to sell the shares, but need money. • Moreover they would like to decrease the exposure to financial risk. • How to get it done? Feb-2001
Collar 1. Buy a protective Put option (3y to maturity, strike = 90% of spot). 2. Sell an out-the-money Call option (3y to maturity, strike above spot). 3. Take a “cheap” loan at 90% of the current value. Feb-2001
Options in Hi Tech Many firms give options as a part of compensation. There is a vesting period and then there is a longer time to expiration. Most employees exercise the options at vesting with same-day-sale (because of tax). How this can be improved? Feb-2001
Your option Result Sell a call Long term options payoff K 50 k K stock Feb-2001
Example You have 10,000 vested options for 10 years with strike $5, while the stock is traded at $10. An immediate exercise will give you $50,000 before tax. Selling a (covered) call with strike $15 will give you $60,000 now (assuming interest rate 6% and 50% volatility) and additional profit at the end of the period! Feb-2001
Result Your option exercise Example payoff K 60 50 10 15 26 Feb-2001
How much can we lose? Everything correct, but useless answer. How much can we lose realistically? Feb-2001
duration, convexity volatility delta, gamma, vega rating target zone What is the current Risk? • Bonds • Stocks • Options • Credit • Forex • Total ? Feb-2001
Risk Management • Risk measurement • Reporting to board • Limits monitoring • Diversification, reinsurance • Vetting • Reporting to regulators • Decision making based on risk Feb-2001
Who manages risk? Nike Sony Dell Computers Philip Morris Ford Motor AIG General Re Swiss Re Aetna Zurich Citibank Bank of England CIBC J. P. Morgan Bankers Trust Feb-2001
Regulators • BIS • FSA • SEC • ISDA • FASB • Bank of Israel • Galai’s committee Feb-2001
Basic Steps in RM process • Identify risks • Data base (market + position) • Risk measurement • Regulators • Risk Management • Reporting • Strategic decisions Feb-2001
Building a RM system • Initial study of risks • Decision, Risk Manager • Risk measurement system • Responsibilities and structure • Testing • ActiveRisk Management • Staff training and maintenance Feb-2001
Can NOT Risk Management System • Predict future • Identify business opportunities • Be always right! Risk Management System Can • Predict loss, given event • Identify most dangerous scenarios • Recommend how to change risk profile Feb-2001
VaR 1% Meaning of VaR A portfolio manager has a daily VaR equal $1M at 99% confidence level. This means that there is only one chance in 100 that a daily loss bigger than $1M occurs, under normal market conditions. Feb-2001
History of VaR • 80’s - major US banks - proprietary • 93 G-30 recommendations • 94 - RiskMetrics by J.P.Morgan • 98 - Basel • SEC, FSA, ISDA, pension funds, dealers • Widely used and misused! Feb-2001
Current position Market data Risk Mapping Valuation Value-at-Risk Reporting and Risk Management Risk Management Structure Feb-2001
Value dollar Interest Rate interest rates and dollar are NOT independent Feb-2001
Qualitative Requirements • An independent risk management unit • Board of directors involvement • Internal model as an integral part • Internal controller and risk model • Backtesting • Stress test Feb-2001
Quantitative Requirements • 99% confidence interval • 10 business days horizon • At least one year of historic data • Data base revised at least every quarter • All types of risk exposure • Derivatives Feb-2001
Types of Assets and Risks • Real projects - cashflow versus financing • Fixed Income • Optionality • Credit exposure • Legal, operational, authorities Feb-2001
Risk Factors There are many bonds, stocks and currencies. The idea is to choose a small set of relevant economic factors and to map everything on these factors. • Exchange rates • Interest rates (for each maturity and indexation) • Spreads • Stock indices Feb-2001
How to measure VaR • Historical Simulations • Variance-Covariance • Monte Carlo • Analytical Methods Feb-2001
Historical Simulations • Fix current portfolio. • Pretend that market changes are similar to those observed in the past. • Calculate P&L (profit-loss). • Find the lowest quantile. Feb-2001