00:02
To identify the tangency portfolio, to identify the tangency portfolio, we need to calculate the optimal allocation of the two stocks, a and b, based on their expected returns, standard deviation and correlation.
00:30
The tangency portfolio represents the portfolio that offers the highest risk adjusted return given the risk free rate.
00:38
So what we are given is expected return of the stock a, e, r, and is the 10 % standard deviation of the stock a, 18 % expected return of the stock b, 10 % standard deviation of the stock b, that is 16 % correlation between the stock a and b, that is 0 .35, risk free rate of return is 3%.
00:59
So to calculate the tangency portfolio, we can use a capital allocation line equation.
01:06
So to calculate, we can use capital allocation line equation.
01:35
So equation will be equals to f, that is the risk free rate of return plus sharpe ratio into minus p.
02:04
So where e or minus p underscore p is the expected rate return of the portfolio, standard deviation p is the standard deviation of the portfolio, and the sharpe ratio is the risk of the premium of the portfolio.
02:18
So first let's calculate the sharpe ratio for both stock a and b.
02:21
Sharpe ratio, sharpe ratio for stock b, sharpe ratio a equals to 10 % minus 3 % divided by 18 % which is equals to 0 .3889...