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There are 6 modules in this course
The course Asset Pricing I will provide students with the main theoretical and analytical tools to study and understand the economics of financial markets and portfolio choices. After learning the different structure that financial markets can take and the key functions that these perform, learners will analyze how financial markets affect saving and investment decisions in an economy with no uncertainty.
Then, learners will be introduced to expected utility theory, which will provide them with the key analytical tools to study choices under uncertainty. These tools will then be used to model and analyze portfolio choices: first, learners will study the so-called canonical portfolio problem, that is, the problem of an investor who has to choose how to allocate their wealth between a safe and a risky asset; then, they will study portfolio choices that involve multiple risky assets.
The analysis of portfolio choices will allow learners to characterize and determine investors’ optimal demand for risky assets, which will lay the foundation for the analysis of the Capital Asset Pricing Model, a milestone for asset pricing and financial economics.
The analysis of the CAPM will finally teach learners how to characterize equilibrium returns and asset prices in financial markets, also understanding the key forces that govern these key variables.
By the end of this week, you will learn the various structures financial markets can adopt and comprehend their primary functions. You'll also be able to assess how the establishment of financial markets influences households' choices regarding saving and borrowing, along with companies' decisions regarding investment, all within an economy devoid of uncertainty.
What's included
31 videos4 readings3 assignments
Show info about module content
31 videos•Total 55 minutes
Welcome to the course!•2 minutes
Introduction to Financial Markets•2 minutes
Structure of Financial Markets•3 minutes
Asset classes•2 minutes
Presence or absence of intermediaries•2 minutes
Functions of financial markets•2 minutes
Intemporal reallocation of resources•1 minute
Efficient allocation of investment•2 minutes
Risk pooling and risk sharing•1 minute
Information transmission•2 minutes
Introduction to consumption and investment in autarky•1 minute
Assumptions•3 minutes
Robinson Crusoe's problem•1 minute
The model solution•3 minutes
Heterogeneous preferences•2 minutes
Heterogeneous endowments•1 minute
Heterogeneous technologies•2 minutes
Assumptions•2 minutes
The problem of households•2 minutes
The model solution•2 minutes
The equilibrium interest rate•3 minutes
Consumption and investment with financial markets and production•2 minutes
The problem of households•1 minute
The optimal saving of households•2 minutes
The problem of firms•1 minute
The equilibrium of the model•2 minutes
Comparison with the autarky case•2 minutes
Fisher separation theorem•2 minutes
Imperfect capital markets•2 minutes
Transaction costs•2 minutes
Borrowing constraints•1 minute
4 readings•Total 19 minutes
Functions of financial markets•5 minutes
Consumption and investment in autarky•3 minutes
Consumption and investment with financial markets•10 minutes
To sum up•1 minute
3 assignments•Total 45 minutes
Consumption and investment in autarky•10 minutes
Consumption and investment with financial markets•5 minutes
Functions of financial markets•30 minutes
Week 2 - Choice under uncertainty
Module 2•2 hours to complete
Module details
This week you will learn the theoretical principles that underlie individual choices under uncertainty, that is, in the presence of risk, in light of expected utility theory. Additionally, you will examine how to characterize agents' attitudes towards risk and the primary criteria for comparing risky prospects. These criteria include first- and second-order stochastic dominance, as well as the mean-variance criterion.
What's included
21 videos4 readings3 assignments
Show info about module content
21 videos•Total 60 minutes
Introduction•3 minutes
What is a lottery?•2 minutes
Risk aversion•1 minute
Compound lotteries•3 minutes
Expected utility•2 minutes
Expected utility: an example•2 minutes
Axioms•2 minutes
Attitude towards risk•2 minutes
Risk aversion•2 minutes
Risk neutrality•2 minutes
Risk loving•1 minute
Measuring risk aversion•2 minutes
Example•8 minutes
Hara utility•2 minutes
Markowitz risk premium•4 minutes
Comparing risks•2 minutes
First Order Stochastic Dominance•2 minutes
FOSD with discrete distributions•4 minutes
Second Order Stochastic Dominance•9 minutes
Mean-variance criterion•2 minutes
Expected utility and mean-variance criterion•4 minutes
4 readings•Total 31 minutes
Expected utility•10 minutes
Attitudes towards risk•10 minutes
Comparing risks•10 minutes
To sum up•1 minute
3 assignments•Total 50 minutes
Expected utility•10 minutes
Attitudes towards risk•10 minutes
Choice under uncertainty•30 minutes
Week 3 - Contingent claim markets
Module 3•2 hours to complete
Module details
By the end of this week you will understand how to analyze contingent claim markets and the risk neutral evaluation.
What's included
14 videos4 readings3 assignments
Show info about module content
14 videos•Total 59 minutes
The market for contingent claims•6 minutes
Law of one price•3 minutes
Arbitrage•9 minutes
How to construct an arbitrage portfolio•6 minutes
LOP and Arbitrage•5 minutes
No arbitrage and the price of Arrow securities•2 minutes
No arbitrage and optimal portfolios•3 minutes
State prices•4 minutes
Determining state prices•3 minutes
Risk-free assets•3 minutes
Risk-neutral probabilties•2 minutes
Determining asset prices•3 minutes
Pricing a risky asset with state prices•6 minutes
Example•6 minutes
4 readings•Total 40 minutes
Law of one price and arbitrage•10 minutes
Complete markets and state prices•10 minutes
From state prices to asset prices•10 minutes
To sum up•10 minutes
3 assignments•Total 50 minutes
Law of one price and arbitrage•15 minutes
Complete markets and state prices•5 minutes
Contingent claim markets•30 minutes
Week 4 - Canonical portfolio problem
Module 4•2 hours to complete
Module details
By the end of this week you will learn the principles underlying investors' portfolio choice and to analyze, in particular, how stock market participation depends on individual preferences and stocks' fundamentals (expected return and riskiness).
What's included
15 videos4 readings3 assignments
Show info about module content
15 videos•Total 50 minutes
Introduction to Portfolio choices•2 minutes
Hypotheses•3 minutes
The investor's problem•2 minutes
The demand for stocks•2 minutes
An example with log utility•7 minutes
What if the investor is risk-neutral?•3 minutes
The partecipation principle•2 minutes
Example•7 minutes
An example with power utility•8 minutes
The partecipation puzzle•3 minutes
Risk aversion and the demand for stocks•2 minutes
Wealth and the demand for stocks•3 minutes
Expected return, risk and the demand for stocks (part 1)•2 minutes
Expected return, risk and the demand for stocks (part 2)•2 minutes
Special case of increasing absolute risk aversion•3 minutes
4 readings•Total 40 minutes
The canonical portfolio problem•10 minutes
The participation principle•10 minutes
Preferences, stock characteristics, and stock demand•10 minutes
To sum up•10 minutes
3 assignments•Total 40 minutes
The canonical portfolio problem•5 minutes
The participation principle•5 minutes
Canonical portfolio problem•30 minutes
Week 5 - Mean-Variance analysis
Module 5•3 hours to complete
Module details
By the end of this week you will be able to identify the set of efficient portfolios in an economy with many risky assets and to analyze, in this economy, the portfolio choices of investors with mean-variance preferences, so as to characterize stocks' aggregate demand.
What's included
16 videos4 readings4 assignments
Show info about module content
16 videos•Total 72 minutes
Motivation•4 minutes
Properties of expectation, variance and covariance operators•6 minutes
Indifferent curves with quadratic utility•7 minutes
Indifference curves with CARA and normally distributed payoffs•3 minutes
Two risky assets•4 minutes
Case 1: perfectly correlated returns•6 minutes
Case 2: inversely correlated returns•5 minutes
The general case•6 minutes
Driving the shape of the frontier•2 minutes
The frontier with N risky assets•5 minutes
The frontier with a riskless asset•5 minutes
Optimal portfolios with only risky assets•8 minutes
Optimal portfolios with a riskless asset•3 minutes
Implications•3 minutes
Sharpe ratio•2 minutes
The market portfolio•3 minutes
4 readings•Total 21 minutes
Mean-variance preferences•5 minutes
Efficient frontier•10 minutes
Mean-variance portfolio choice•5 minutes
To sum up•1 minute
4 assignments•Total 65 minutes
Mean-variance preferences•10 minutes
Efficient frontier•15 minutes
Mean-variance portfolio choice•10 minutes
Mean-Variance analysis •30 minutes
Week 6 - The Capital Asset Pricing Model (CAPM)
Module 6•2 hours to complete
Module details
By the end of this week, you will learn the concept of equilibrium in financial markets. You'll apply this understanding to an economy featuring numerous risky assets and a riskless asset, all within a framework of risk-averse investors with mean-variance preferences. Additionally, you'll gain the ability to calculate equilibrium prices and expected excess returns. Furthermore, you'll recognize that these values are contingent upon the covariance risk of assets, which is quantified by asset betas.
What's included
17 videos4 readings4 assignments
Show info about module content
17 videos•Total 64 minutes
Introduction•2 minutes
The demand side: mean-variance preferences•1 minute
MRS between expected return and risk•2 minutes
Portfolio choice with 1 safe and 2 risky assets•9 minutes
Example•7 minutes
Market equilibrium•2 minutes
Market clearing•3 minutes
Equilibrium returns•6 minutes
Asset betas•2 minutes
Market risk premium•3 minutes
The security market line•2 minutes
Example•7 minutes
The capital market line•3 minutes
General solution of the CAPM•2 minutes
Recap and main properties of the CAPM•4 minutes
Additivity of betas•3 minutes
Systematic vs. Idiosyncratic risk•6 minutes
4 readings•Total 26 minutes
Equilibrium portfolio choice: the CAPM•10 minutes
Asset betas and Security Market Line•5 minutes
Properties of the CAPM•10 minutes
To sum up•1 minute
4 assignments•Total 60 minutes
Equilibrium portfolio choice: the CAPM•10 minutes
Asset betas and Security Market Line•10 minutes
Properties of the CAPM•10 minutes
The Capital Asset Pricing Model (CAPM)•30 minutes
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