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Portfolio Construction
Chasing higher returns usually means accepting higher risk. Risk isn’t one thing—it shows up as concentration risk, downside risk, volatility (σ), beta, and value-at-risk (VaR).
Concentration Risk (“all eggs in one basket”)
When too much money is in one stock/sector/asset, one bad outcome can wreck the whole portfolio.
Downside Risk
Risk focused on losses (the “how bad can it get?” side), not just up-and-down movement.
Volatility (σ)
How much returns swing around their average.
Bigger σ
= more uncertainty in the return path.
Related slide idea:
“Stock return paths” can look “Low Risk” (tight swings) or “High Risk” (wild swings). “Volatility (Sigma)!”
Beta (β)
Measures how sensitive a stock is to market moves (market = S&P 500 / SPY)
β = 1
→ moves like the market
β = 0.5
→ less sensitive than market
β = 1.5
→ more sensitive than market
Value-at-Risk (VaR)
A risk measure that summarizes potential loss under a probability/confidence level concept (listed as a key risk item in the notes).
What do you do first for return & volatility on a stock?
Stock Return & Volatility Setup
Choose your favorite stock
Download its price series for the last 1 year
Calculate daily returns RtRt
Average Return (annualized)
Compute mean of daily returns: R′R′
Annualize: multiply by 252
Annualized mean return ≈ 252⋅R′
Daily Variance of Returns
Use the variance formula (or Excel built-in Var function).
Variance definition given: σ^2 = 1/T∑(R_t −R′)^2
Where R′ is the mean of the returns series.
Scaling Risk to Annual