$($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 porffolio 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 allocated weight 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.$)$

Data table

$\backslash$table$[[,\backslash$table$[[$Expected$],[$Return$]],$$ Value$],[$Treasury bills,$4\mathrm{.}4\%,75,000],[$Ford $($F$),8\mathrm{.}7\%,56,000],[$Harley Davidson $($HOG$),11\mathrm{.}3\%,69,000],[($Click an the icon,,$]]$