Historical Realized Rates of Return

You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B$,$ have the following historical returns:

Year $AB$

$2015-17\mathrm{.}00\%-10\mathrm{.}00\%$

$201633\mathrm{.}0025\mathrm{.}00$

$201727\mathrm{.}00-10\mathrm{.}00$

$2018-3\mathrm{.}0055\mathrm{.}00$

$201931\mathrm{.}0011\mathrm{.}00$

Calculate the average rate of return for each stock during the $5-$year period. Do not round intermediate calculations. Round your answers to two decimal places.

Stock A$?$

$\%$

Stock B$?$

$\%$

Suppose you had held a portfolio consisting of $50\%$ of Stock A and $50\%$ of Stock B$.$ What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign.

Year Portfolio $($calculate percentage for these years$)$

$2015\%$

$2016\%$

$2017\%$

$2018\%$

$2019\%$

Average return $\%$

Calculate the standard deviation of returns for each stock and for the portfolio. Do not round intermediate calculations. Round your answers to two decimal places.

Std$.$ Dev. $\%(A)\%(B)\%(portfolio)$

Suppose you are a risk$-$averse investor. Assuming Stocks A and B are your only choices, would you prefer to hold Stock A$,$ Stock B$,$ or the portfolio? Why?

A risk$-$averse investor should choose

$-$stock $A$

$-$StockB

$-$Portfolio

$,$ since it offers

$-$less

$-$higher

$-$the same

expected return with

$-$less

$-$higher

$-$the same

risk.