stuff from lesson 2 (week 1) Flashcards
speculation
the assumption of considerable business risk in obtaining commensurate gain
–> this definition is useless without first specifying what is meant by “commensurate gain” and “considerable risk”
undertaken because one perceives a favorable risk–return tradeoff
taking a risk with the expectation of being compensated for it by appropriate returns
commensurate gain
a positive expected profit beyond the risk-free alternative
–> the risk premium, the incremental expected gain from taking on the risk
considerable risk
the risk is sufficient to affect the decision
the central difference between gambling and speculation
the lack of “commensurate gain”
Personal expectations
–> Expected payoff could be zero in gambling
a gamble
the assumption of risk for enjoyment of the risk itself
how do we turn a gamble into a speculative prospect?
we need an adequate risk premium for compensation to risk-averse investors for the risks that they bear
heterogeneous expectations
individuals perceiving different probabilities for the same scenarios
–> investors on each side of a financial position see themselves as speculating rather than gambling
The ideal way to resolve heterogeneous expectations
to merge the information
for each party to verify that he or she possesses all relevant information and processes the information properly
a fair game
A prospect that has a zero-risk premium
–> rejected by risk averse investors
risk averse investors
consider only risk-free or speculative prospects with positive risk premiums
reject fair games or worse
utility
a welfare score to competing investment portfolios based on the expected return and risk of those portfolios
The utility value
may be viewed as a means of ranking portfolios
–> Higher utility values are assigned to portfolios with more attractive risk–return profiles
formula for utility
U = ER - 1/2A · σ^2
U: the utility value
A: an index of the investor’s aversion to taking on risk
–> The extent to which variance lowers utility depends on A, the investor’s degree of risk aversion
–> More risk-averse investors (who have the larger A’s) penalize risky investments more severely
the formula is consistent with the notion that utility is enhanced by high expected returns and diminished by high risk
the utility provided by a risk-free portfolio
simply the rate of return on the portfolio, since there is no penalization for risk
The certainty equivalent rate of a portfolio
the rate that risk-free investments would need to offer with certainty to be considered equally attractive to the risky portfolio
The utility generated by the risky portfolio equal to the utility generated by the risk free investment
risk-neutral investors
judge risky prospects solely by their expected rates of return
The level of risk is irrelevant to the risk-neutral investor, meaning that there is no penalization for risk
what is the certainty equivalent rate of a portfolio for a risk-neutral investor?
simply the portfolio’s expected rate of return
A risk lover
willing to engage in fair games and gambles
–> will take a fair game because their upward adjustment of utility for risk gives the fair game a certainty equivalent that exceeds the alternative of the risk-free investment
this investor adjusts the expected return upward to take into account the “fun” of confronting the prospect’s risk