HERE

The Y-intercept of the SML is equal to the risk-free interest rate. The slope of the SML is equal to the market risk premium and reflects the risk return tradeoff at a given time: S M L : E ( R i ) = R f + β i [ E ( R M ) − R f ] {\displaystyle \mathrm {SML} :E(R_{i})=R_{f}+\beta _{i}[E(R_{M})-R_{f}]\,} where: E(Ri) is an expected return on security E(RM) is an expected return on market portfolio M β is a nondiversifiable or systematic risk RM is a market rate of return Rf is a risk-free rate

This abnormal extra return above the market's return at a given level of risk is what is called the alpha.

Capital asset pricing model

quantity beta (β)

systematic risk (beta) t

If the fraction q {\displaystyle q} of a one-unit (e.g. one-million-dollar) portfolio is placed in asset X and the fraction 1 − q {\displaystyle 1-q} is placed in Y, the stochastic portfolio return is q x + ( 1 − q ) y {\displaystyle qx+(1-q)y} . If x {\displaystyle x} and y {\displaystyle y} are uncorrelated, the variance of portfolio return is var ( q x + ( 1 − q ) y ) = q 2 σ x 2 + ( 1 − q ) 2 σ y 2 {\displaystyle {\text{var}}(qx+(1-q)y)=q^{2}\sigma _{x}^{2}+(1-q)^{2}\sigma _{y}^{2}} . The variance-minimizing value of q {\displaystyle q} is q = σ y 2 / [ σ x 2 + σ y 2 ] {\displaystyle q=\sigma _{y}^{2}/[\sigma _{x}^{2}+\sigma _{y}^{2}]} , which is strictly between 0 {\displaystyle 0} and 1 {\displaystyle 1} . Using this value of q {\displaystyle q} in the expression for the variance of portfolio return gives the latter as σ x 2 σ y 2 / [ σ x 2 + σ y 2 ] {\displaystyle \sigma _{x}^{2}\sigma _{y}^{2}/[\sigma _{x}^{2}+\sigma _{y}^{2}]} , which is less than what it would be at either of the undiversified values q = 1 {\displaystyle q=1} and q = 0 {\displaystyle q=0} (which respectively give portfolio return variance of σ x 2 {\displaystyle \sigma _{x}^{2}} and σ y 2 {\displaystyle \sigma _{y}^{2}} ). Note that the favorable effect of diversification on portfolio variance would be enhanced if x {\displaystyle x} and y {\displaystyle y} were negatively correlated but diminished (though not eliminated) if they were positively correlated.

Similarly, a 1985 book reported that most value from diversification comes from the first 15 or 20 different stocks in a portfolio.[6]

Students: please propose some of these as a Hypothes.is comment HERE.

Shorter 'rooftop' video going through 3 cases of 'two-person Public goods' via powerpoint

Nash proved that if we allow mixed strategies, then every game with a finite number of players in which each player can choose from finitely many pure strategies has at least one Nash equilibrium.

More volatile underlying assets will translate to higher options premiums, because with volatility there is a greater probability that the options will end up in-the-money at expiration.

The option is European and can only be exercised at expiration.No dividends are paid out during the life of the option.Markets are efficient (i.e., market movements cannot be predicted).There are no transaction costs in buying the option.The risk-free rate and volatility of the underlying are known and constant.The returns on the underlying are normally distributed.

In low-income countries the vast majority are unwilling to pay for effective drugs simply because they are unable to pay. Low-income nations need more price discrimination—and vastly lower prices—if they are ever to afford the world's most effective medicines.

She found a German seller offering packs of the same nappies she buys in Luxembourg for the same price she normally pays. Looking more closely at the unit price, however, Nadine realised that the German packs contained 140 nappies, whereas the packs in Luxembourg had only 90, making them much more expensive. She switched straight away to buying all her nappies from the German shop.

Channel Tunnel

Holt, C., and S. Laury (2002), Risk Aversion and Incentive Effects, American Economic Review, v. 92 (5): 1644-1655. Crosetto, Paolo, and Antonio Filippin. “A theoretical and experimental appraisal of four risk elicitation methods.” Experimental Economics 19, no. 3 (2016): 613-641. Pedroni, Andreas, Renato Frey, Adrian Bruhin, Gilles Dutilh, Ralph Hertwig, and Jörg Rieskamp. “The risk elicitation puzzle.” Nature Human Behaviour 1, no. 11 (2017): 803.

11.11 Who benefits from 3DPD?

University strikes: Students demand tuition fee refunds for planned walkouts

Two statistics about reducing your risk of an early death made headlines around the world recently. The first seems to be a great reason to add a four-legged friend to your life. It suggests that owning a dog is tied to lowering your chance of dying early by nearly a quarter. The second statistic claims that even a minimal amount of running is linked to reducing your risk of premature death by up to 30%. Ruth Alexander finds out what’s behind these numbers and we hear from epidemiologist, Gideon Meyerowitz-Katz.

2018 final exam with suggested answer guidelines

Should we help companies tailor prices to your wage packet?