FINE 342 Lecture Notes - Lecture 10: Market Portfolio, Tax Rate, Risk Premium
Document Summary
The holding period return is the return that an investor would get when holding an investment over a ercentage return(cid:2869)=(cid:1830)(cid:1835)(cid:1848)(cid:2869)(cid:1842)(cid:2868) +(cid:1842)(cid:2869) (cid:1842)(cid:2868)(cid:1842)(cid:2868) =(cid:1830)(cid:1835)(cid:1848)(cid:2869)+(cid:1842)(cid:2869) (cid:1842)(cid:2868) (cid:1842)(cid:2868) period of (cid:1866) years. When the return during year is given as (cid:1870)(cid:3036), holding period return is: (cid:1834)(cid:1842)(cid:1844)=(cid:4666)(cid:883)+(cid:1870)(cid:2869)(cid:4667) (cid:4666)(cid:883)+(cid:1870)(cid:2870)(cid:4667) (cid:4666)(cid:883)+(cid:1870)(cid:3041)(cid:4667) (cid:883) Suppose an investment provides the following returns over a 4-year period: Summary measures for the history of capital market returns: Standard deviation of returns: = (cid:4666)(cid:1870)(cid:2869) (cid:1870) (cid:4667)(cid:2870)+(cid:4666)(cid:1870)(cid:2870) (cid:1870) (cid:4667)(cid:2870)+ +(cid:4666)(cid:1870)(cid:3021) (cid:1870) (cid:4667)(cid:2870) (cid:1870) =(cid:4666)(cid:1870)(cid:2869)+(cid:1870)(cid:2870)+ +(cid:1870)(cid:3021)(cid:4667) (cid:1846) (cid:1846) (cid:883) (cid:1846) (cid:883) Investors are risk averse; they only want to hold securities (e. g. , stocks) if they receive an additional return above the risk-free rate. Covariance number (not the sign) is difficult to interpret, so . Calculate correlation coefficient: (cid:883) (cid:3002)(cid:3003) (cid:883, (cid:3002)(cid:3003)=(cid:883) perfect positive correlation, (cid:3002)(cid:3003)= (cid:883) perfect negative correlation (cid:1829)(cid:1867)(cid:1874)(cid:4666)(cid:1870)(cid:3002),(cid:1870)(cid:3003)(cid:4667)=(cid:3002)(cid:3003)=(cid:1831)[(cid:4666)(cid:1870)(cid:3002) (cid:1870) (cid:3002)(cid:4667) (cid:4666)(cid:1870)(cid:3003) (cid:1870) (cid:3003)(cid:4667)] The variance of the rate of return on a portfolio is: