Arbitrage
If two assets result in identical future cashflows but are priced differently, then an arbitrage opportunity exists.
Define asset
A sequence of cashflows
Short Selling
Premium Bonds
You purchase above par value. Your yield to maturity will be lower than coupon rate
Effect of interests
If interest increases, both assets and liabilities decrease. Assets decrease in value more than liabilities.
Junk Bonds
Anything less than an S&P, BB, Moddy’s Ba is a junk bond.
AKA: High-yield bond
Two types:
Beta
the covariance between the return of a stock and the return of the market portfolio, divided by the variance of the return on the market portfolio.
Beta is normalized covariance with the market portfolio.
Beta Values
B=0, we have the risk free asset
B=1, we have the market portfolio
B=2, we have an asset two times as risky the market
b=.5, we have an asset half as risky as market
Measuring systematic Risk
We want to know how a particular stock covaries with the market portfolio.
Leverage and returns
buying on margin amplifies risk and return. Investing borrowed money is called using leverage.
Doubling amount you invest by matching your own money with borrow money doubles your risk and risk premium.
Beta of the market
=1
When does re-investment create value?
If ROE is higher than required return
Free cash flow analysis
Discounted cash flow method
-Dollars in minus dollars out after taxes
Order to a Broker Requirements
Net working capital
Total current liabilities - total current assets
Market Portfolio Risk
You can approximate by S&P 500
If you want lower risk, then you
want to invest in a portfolio of low correlation.
Business decisions
Objectives + Valuations = Decisions
Minimum variance portfolio
Only focus on part of graph above this point AKA “efficient frontier”
Investment
An exchange of cash flows for cash flows
Buying on Margin
The equity in your account at the start is the amount you invested. Gains on stocks increase your equity, losses decrease your equity.
In a very diversified portfolio,
you don’t care about individual st deviation, you care about correlation between assets
Beta of Portfolio
Weighted average of the individual betas
Diversification
Makes a portfolios risk lower than either individual asset risk