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Risk Management. Corporate Finance MSc in Finance/Accounting & Finance. RM.1. Risk Management. Sources of risk Measurement of risk exposure Building blocks of risk management Motives for hedging Hedging with options Hedging with futures / forwards Workshop: Metallgesellschaft. RM.2.
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Risk Management Corporate Finance MSc in Finance/Accounting & Finance RM.1
Risk Management • Sources of risk • Measurement of risk exposure • Building blocks of risk management • Motives for hedging • Hedging with options • Hedging with futures / forwards • Workshop: Metallgesellschaft RM.2
Sources of Risk • Firms may be exposed to: • interest rate risk • foreign exchange risk • commodity risk • equity market movements RM.3
Measurement of Risk Exposure • Risk exposure can be expressed in terms of a factor beta where is the stock return on firm i are the factors (j=1,…,K) are the factor betas is the firm-specific risk RM.4
Measurement of Risk Exposure • Factor risk: • is undiversifiable and • can be hedged. • Specific risk: • is diversifiable; • cannot be hedged; • but can be insured. RM.5
Building Blocks of Risk Management • Price fixing: • forward contract • obligation for owner to buy the underlying asset at a pre-specified price (forward price or delivery price) at a future date (maturity or settlement date) • if spot price at maturity > delivery price, owner makes a profit < delivery price, owner makes a loss • characteristics • no cash flows occur until maturity • subject to default risk by either counter-party RM.6
Building Blocks of Risk Management • future contract • standardised forward contract • quantity • delivery month (March, June, September, December) • reduced risk of default • initial margin • marking to market RM.7
Building Blocks of Risk Management • swap • agreement between two counter-parties to exchange the cash flows from one security against the cash flows from another security at given times • example: the Vanilla Swap Fixed rate at 5.75% Party A Party B LIBOR+50b.p. RM.8
Building Blocks of Risk Management • Insurance: • options • caps • selling a put + risk-free asset • floors • buying a call + risk-free asset RM.9
Motives for Hedging • In a Modigliani & Miller (1958) world where • investment policy is fixed and • there are no: • taxes • no bankruptcy costs • no agency problems investors will be indifferent between doing the hedging themselves and letting the firm do the hedging RM.10
Motives for Hedging • The objective of managers is to maximise firm value: E(NCFi,t ) is the expected net cash flow r is the discount rate RM.11
Motives for Hedging • Hedging only affects firm value, if it increases future cash flows • by reducing corporate tax • example probability 50% 50% EBT 700 -300 tax rate is 30% on profit, 0% on loss RM.12
Motives for Hedging tax = 30% of 200 = 60
Motives for Hedging • by reducing bankruptcy costs • the probability of bankruptcy increases with the variability of the firm’s value • the expected bankruptcy costs depend on the probability of bankruptcy • by reducing the variance of the firm’s value risk management can reduce the expected bankruptcy costs
Motives for Hedging • by reducing agency costs • managerial remuneration should depend on factors that managers can influence • it should not depend on • interest rat e movements • fluctuations of foreign exchange rates • commodity prices • ... • by reducing the noise in the cash flows it becomes easier to evaluate performance
Motives for Hedging • by improving investment decisions • in an MM world managers maximise firm value by accepting all non-negative NPV projects • equity is a call option on firm value • the higher the variability of the underlying the higher is the value of the option • shareholders have an incentive to gamble with the money of the debtholders • investment in negative NPV projects • debtholders may not invest in the firm a priori
Motives for Hedging • by reducing the variability of firm value the under-investment problem can be mitigated
Hedging with Options • Delta hedging: where c0 and p0 are the option premiums for the call and put respectively units of the underlying in the tracking portfolio • buy 1/ (hedge ratio) options per unit of the underlying • typically 0
Hedging with Options • dynamic hedging • needs to be adjusted continuously to reflect changes in price of underlying and as time goes by • Covered option strategy: • • loss/gain on underlying is exactly offset by gain/loss on option
Hedging with Futures/Forwards • Naive hedging: • one forward/future contract per unit of the underlying • sale of good generating a constant gross revenue of G • raw materials with uncertain price of • net sales G - • payoff from forward - K where K is forward price • at maturity, the payoff is G - K
Hedging with Futures/Forwards • Conventional hedging: • hedging which is not necessarily on a one-to-one basis • random cash flow • sale of units of a financial instrument with random price of • total return is
Hedging with Futures/Forwards • minimise variance of return • units of financial instrument are sold