I . Ion

8 important questions on I . Ion

What is derived in this text excerpt about investor portfolios and pricing factors?

- A multi-beta asset pricing equation is derived, showing the model has K + 1 pricing factors
- Pricing factors include the market m and the K deviation portfolios dk
- The vector of expected returns on the deviation portfolios is denoted by µ
d
- The vector of excess returns satisfies an equation involving the tangency portfolio and a normalizing constant φ
- The performance measure φ is calculated as specified in the text
- Symbols like µτ and σ^2τ represent specific parameters in the equation.

How is equation (IA-4) expressed in vector form?

- Let Σ jm denote the J × 1 covariance vector between the J assets and the market portfolio
- Σ jd = [ΣΣΣ d1, · · · , ΣΣΣ dK] is the J × K covariance matrix between assets and the long-short portfolios
- Σ j,md = [Σ jm, Σ jd]

How can the risk premium on the market and portfolios be expressed using equation (IA-6)?

- µm - Rf = φ Σmd,md - ηm
- µd - Rf = φ Σmd,md - ηm
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How is the formula for the stock's alpha derived by combining certain CAPM formulas?

- Stock's alpha = φ σ^2ηm - Σk=1 σ^2k bm,k * (µm - R_f)

How can a stock's market beta be decomposed according to equations (IA-11) and (IA-12)?

- The stock's market beta is the weighted average of its beta to the tangency portfolio and its betas to deviation portfolios
- Weights are determined by the ratio of portfolio variances to market variance (σ2τ/σ2m and σ2k/σ2m) and aggregate tilts (ηmk)

In the context of Individual Portfolio Choice, what does the agent do with the cash on hand in each period?

- The agent consumes C t and invests the remainder (W t - C t) in financial assets
- She can trade a riskless asset with a net return rate R f and choose to invest in stocks
- Stocks have excess returns R ej,t+1 between dates t represented by the vector R e t+1

How is the consumption-portfolio decision problem defined in the scenario presented?

- The agent lives and consumes in periods t = 0, ..., T
- At the start of each period t, she receives stochastic labor income L t
- Cash on hand consists of labor income L t and value of previous financial investments at date t, denoted as W t

What is simplified and assumed without loss of generality in the analysis of the agent's decision?

- The analysis focuses on a single agent, dropping the agent index i
- The assumption is made that the agent is born at date 0 to simplify notation

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