Contrary to what traditional asset pricing would imply, a strategy that bets against beta, by going long in low beta stocks and short in high beta stocks, tends to outperform the market. We consider a market in which diversity is maintained, i.e. no single stock can dominate the entire market,...

Taking a portfolio perspective on option pricing and hedging, we show that within the standard Black-Scholes-Merton framework large portfolios of options can be hedged without risk in discrete time. The nature of the hedge portfolio in the limit of large portfolio size is substantially different...