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Concepts in Risk Management
Uncertainty-Information-Communication-Shareholder Value
Their influence on firm value through stakeholders (e.g., creditors, staff, supplier & consumer) and through factor prices and risk premia required by these stakeholder groups
Functions & Areas in Risk Management
History of Insurance
Ex-post premia
Risk Identification / Analysis
Process of systematic detection of risks (of a company), before as well as after its realization (or even near-losses like in aviation)
Risk Measurement
Modelling of risks based on models of probability theory / probability distributions
Basis: subjective (assumptions) or objective probabilities (time series analysis)
In general: only modeling of pure random risk (e.g. dice) -> stays stable in time
St. Petersburg Paradox (1738)
Daniel Bernoulli was the first to realize that risk measurement is not sufficient. For decision making, individual preferences do play a role!
Coin toss game -> Willingness to pay to enter the game depends on preferences
Risk Valuation
Transformation of risks into values (fair pricing)
Relative Valuation
Example – Basis of the Black/Scholes Option Pricing Model Replicate payoff of options with assets traded on capital markets
The cashflows of a particular financial instrument (derivative) to be valued are replicated by means of available securities. Present Value Calculus requires Replication!
The price of the duplication portfolio must equal the price of the derivative, otherwise the capital market is not arbitrage-free!
Under these circumstance, individual risk preferences are irrelevant for pricing
Example in slides -> The price of a bond depends on rt (rate of return), but the replicating units not (stay stable, linear relationship)
(Risk-)Preferences and risk valuation are reflected in many empirical phenomena such as:
Example of Risk Valuation
First step for risk management
planning, forecasting & management of risks relevant for private individuals or a company (respectively).
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