Diversification diagrammatically

What are the benefits of diversification?
What is a limit of diversification?
There exist risks that cannot be diversified known as systematic or market risk.
Two components of risks in individual asset returns
How is the approach to systematic and non-systematic risks different?
Define portfolio
A portfolio is a collection of assets, characterised by the mean, variance/covariances of their returns.
Notation for portfolios

Consider investing into swimwear or investing into umbrellas where:
What is the expected return on stock 1?


Consider investing into swimwear or investing into umbrellas where:
What is the expected return on stock 2?


Consider investing into swimwear or investing into umbrellas where:
What is the expected return of the equally weighted portfolio in the case of sun


Consider investing into swimwear or investing into umbrellas where:
Expected return of the equally weighted portfolio in the case of rain


Consider investing into swimwear or investing into umbrellas where:
Portfolio return of the equally weighted portfolio


Consider investing into swimwear or investing into umbrellas where:
StD of stock 1


Consider investing into swimwear or investing into umbrellas where:
StD of stock 2


Consider investing into swimwear or investing into umbrellas where:
Covariance between stock 1 and 2


Consider investing into swimwear or investing into umbrellas where:
[covariance is -1.44%]
Correlation coefficient between stock 1 and 2


Consider investing into swimwear or investing into umbrellas where:
Weighted average risk of the equally weighted portfolio


Consider investing into swimwear or investing into umbrellas where:
[covariance = -1.44%]
Portfolio risk of the equally weighted portfolio


Equation for the expected and unexpected return on a portfolio with two assets

Equation for the variance of return on a portfolio with two assets

How is the variance of the return for a portfolio with two assets derived?

Equation for the variance of return on a portfolio with three assets.
Derivation?

Portfolios of multiple assets
What is:
