A snapshot of the summary - Risk management and financial institutions
1.1 LECTURE SHEETS SUMMARY LESSON 1&2
What is risk? (definition restricted to economics and finance)
the probability that an actual return (or loss) on an investment/financial decision will be lower (or higher) than the expected return (or loss).
Can we always quantify financial risks?
No, because of Knightian uncertainty (from Frank Knight). This is uncertainty that we cannot measure, calculate or estimate.
What's the practical use of a risk measure?
A risk measure is meant to determine the amount of an asset (or set of assets) to be kept in reserve. The aim of a reserve is to guarantee that the presence of capital that can be used as a (partial) cover if the risky event manifests itself, generating a loss.
Denote the formula for the SD of a combined portfolio consisting of 2 investments.
sigma(portfolio) = sqrt ( w1^2*sig1^2 + w2^2*sig2^2 + 2*rho1,2*w1*w2*sig1*sig2 )
What does the efficient frontier represent?
The EF represents all portfolios that maximize the E[R] and minimize sigma[R], thus dominating all other portfolios. The portfolios on the EF are convex linear combinations of all the portfolios of the economy.
Give an example of a risk free invesment and explain why we call it 'risk free' and the difference between a risky investment.
An example of a risk free investment is a German federal bond (the bund). It's risk free because it guarantees a constant return (the risk free rate). The difference between the bund and a risky investment is that a risky investment has a higher expected return, but there's a chance it will generate a loss. The lower risk free return is 'sure'.
How do we get from the efficient frontier to the new efficient frontier and what is represented by the touch point?
We add the Risk-free rate to the graph and then we draw a tangent line from this point to the EF. The point where the two meet represents the market portfolio.
Which is a straight line: The new efficient frontier or the efficient frontier and why?
The NEF is a straight line. This is because we draw a tangent line from the risk-free rate to the EF and beyond, because now investors can choose the most rewarding portfolio combination in terms of the SD and return.
What is the capital asset pricing model and give the formula's with and without alpha.
It's a model used to determine the theoretically appropriate required rate of return of an asset, if the asset is to be added to an already well-diversified portfolio, given that asset's non-diversifiable risk.
E[R] = alpha + beta*R(M) + epsilon
E[R] = (1-beta)*R(F) + beta*E[R(M)]
where beta*R(M) is known as systematic risk (SR) and epsilon is called the non-systematic/idyosincratic risk (IR).
Explain the difference between systematic risk and non-systematic/idyosincratic risk.
IR can be controlled with diversification, but SR depends on the economy as a whole and can therefore not be diversified. E.g. a risk-averse investor will require extra returns to compensate for SR.
- Higher grades + faster learning
- Don't study anything twice
- 100% sure, 100% understanding