FIN222 Lecture Notes - Lecture 5: Sudden Strike, Capital Asset Pricing Model, Market Portfolio
LECTURE 5.
RISK AND
RETURN
Risk and Return –
Capital Market
Computing
historical returns
Realised return (aka total return): total return that occurs
over a particular time period
=
Assume all dividends are immediately reinvested and used
to purchase additional shares of the same shares or
security, annual realised return :
Average annual returns: average of realised returns for
each year
=
Dividend Yield: return from cash income
Capital Gain Yield: return from price
increase/decrease
Variance and
volatility of returns
Variance estimate using realised return: a measure of the
variability of returns:
=
−
+
−
+
+
−
Standard deviation (aka volatility):
Normal
Distribution
Normal Distribution: a symmetric distribution that is
characterised by its average and standard deviation.
95% Prediction Interval: the range of returns within which
we are 95% confident that next period’s return will lie
Risk Components
General looking
into risk
components
The total risk of holding a portfolio having 2 components:
Systematic Risk: common risk (aka market risk); non-
diversifiable risk; cannot be eliminated
Unsystematic Risk: independent risk; diversifiable risk;
can be eliminated
Document Summary
Realised return (aka total return): total return that occurs over a particular time period. Capital gain yield: return from price increase/decrease (cid:1844)(cid:3047)+(cid:2869)= (cid:3005)(cid:3036)(cid:3049)+1 ++1 . = (cid:1830)(cid:1861)(cid:1874)(cid:1861)(cid:1856)(cid:1857)(cid:1866)(cid:1856) (cid:1861)(cid:1857)(cid:1864)(cid:1856)+(cid:1829)(cid:1868)(cid:1861)(cid:1872)(cid:1864) (cid:1859)(cid:1861)(cid:1866) (cid:1861)(cid:1857)(cid:1864)(cid:1856) security, annual realised return (cid:1844)(cid:3048)(cid:3039): Assume all dividends are immediately reinvested and used to purchase additional shares of the same shares or. Average annual returns: average of realised returns for each year (cid:883)+(cid:1844)(cid:3048)(cid:3039)=(cid:4666)(cid:883)+ (cid:1844)(cid:2869)(cid:4667)(cid:4666)(cid:883)+ (cid:1844)(cid:2870)(cid:4667)(cid:4666)(cid:883)+ (cid:1844)(cid:2871)(cid:4667)(cid:4666)(cid:883)+ (cid:1844)(cid:2872)(cid:4667) (cid:1844)= (cid:4666) (cid:1844)(cid:883)+ (cid:1844)(cid:884)+ (cid:1844)(cid:885)+ + (cid:1844)(cid:1846)(cid:4667) (cid:4667) (cid:883)(cid:1846) Variance estimate using realised return: a measure of the variability of returns: (cid:1870)(cid:4666)(cid:1844)(cid:4667)= (cid:883)(cid:1846) (cid:883)[((cid:1844)(cid:2869) (cid:1844))(cid:884) +((cid:1844)(cid:2869) (cid:1844))(cid:884) ++((cid:1844)(cid:2869) (cid:1844))(cid:884) ] Normal distribution: a symmetric distribution that is characterised by its average and standard deviation. 95% prediction interval: the range of returns within which we are 95% confident that next period"s return will lie. Risk components general looking into risk components (cid:1844) (cid:884) x sd(cid:4666)r(cid:4667) The total risk of holding a portfolio having 2 components: