$($Related to Checkpoint $8\mathrm{.}1)($Computing the portfolio expected rate of return$)$ Penny Francis inherited a $$200,000$ portfolio of investments from her grandparents when she turned $21$ years of age. The portfolio is comprised of Treasury bills and stock in Ford $($F$)$ and Harley Davidson $($HOG$)$:

a$.$ Based on the current portfolio composition and the expected rates of return, what is the expected rate of return for Penny's portfolio?

b$.$ If Penny wants to increase her expected portfolio rate of return, she can increase the allocatediweight of the portfolio she has invested in stock $($Ford and Harley Davidson$)$ and decrease her holdings of Treasury bills. If Penny moves all her money out of Treasury bills and splits it evenly between the two stocks, what will be her expected rate of return?

c$.$ If Penny does move money out of Treasury bills and into the two stocks, she will reap a higher expected portfolio return, so why would anyone want to hold Treasury bills in their portfolio?

a$.$ Based on the current portfolio composition and the given expected rates of return, the expected rate of return for Penny's portfolio is $\%.($Round to two decimal places.$)$

b$.$ If Penny moves all her money out of Treasury bills and splits it evenly between the two stocks, her expected rate of return for her portfolio is $\%.($Round to two decimal places.$)$

c$.$ If Penny does move money out of Treasury bills and into the two stocks, she will reap a higher expected portfolio return, so why would anyone want to hold Treasury bills in their portfolio? $($Sele the best choice below.$)$

A$.$ Although the Treasury bills in this problem have a lower expected rate of return than Ford and Harley Davidson stock, this is not always true. Often times Treasury bills have returns much higher than stock and then they should be included in a portfolio.

B$.$ Although Treasury bills have a lower expected rate of return than stocks, they are risk$-$free compared to other securities$.$ Therefore, many people include Treasury bills in their portfolios to increase the risk of their portfolios.

C$.$ There is no reason for anyone to ever hold Treasury bills in their portfolios.

D$.$ Although Treasury bills have a lower expected rate of return then stocks, they are risk$-$free compared to other securities$.$ Therefore, many people include Treasury bills in their portfolios to lower the risk of their portfolios.

Data table

$\backslash$table$[[,\backslash$table$[[$Expected$],[$Return$]],$$ Value$],[$Treasury bills,$4\mathrm{.}6\%,89,000],[$Ford $($F$),8\mathrm{.}5\%,53,000],[$Harley Davidson $($HOG$),12\mathrm{.}1\%,58,000]]$