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1 Introduction Prices and Returns
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1.1 Prices and Returns
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Provide the definition of Returns, and how its often is expressed.
The relative change in the price of an asset over a given time interval.
Often expressed in % -
How many types of returns are there and what are they?
Two types of returns
1. Simple returns - the % change in prices
2.Continuously compounded returns -
1.2 Return Characteristics
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Name the 3 stylized facts about financial returns
Most financial returns have
1. Volatility clusters
2. Fat tails
3. Non-linear dependence -
Provide a simple definition of Nonlinear dependence
Ifreturns have non lineardependence than theydisplay anon-linear correlation -
1.2.1 Volatility
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Why is volatility considered relevant in finance?
Because its a measure of market uncertainty (the most common one) -
1.2.1.1 Volatility clusters
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Whats the relevance of volatility clusters?
They are partially predictable -
1.2.1.2 Autocorrelations
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When do we consider there to be evidence for predictability?
When autocorrelations are statistically significant -
What does the coefficient of an Autocorrelation function (ACF) gives us?
It gives us thecorrelation betweenreturns and itslags (wherereturns then are thevariables ) -
1.2.2 Fat tails
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What are the 2 implications regarding probability of extreme and non-extreme outcomes about fat tails?
Fat tails
probability of
extreme outcomes: high
non-extreme outcomes: low -
1.2.2.1.2 Analyzing fat tails
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What is the significance of QQ plots (what are they used for specifically)?
They can be
1. Used toassess whether aset ofobservations has a particulardistribution
2. Used to determine whether two datasets have the same distribution
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