$($Portfolio expected rate of return$)$ Barry Swifter is $60$ years of age and considering retirement. Barry's retirement portfolio currently is valued at $$750,000$ and is allocated in Treasury bills, an S&P $500$ index fund, and an emerging market fund as follows:

a$.$ Based on the current portfolio composition and the expected rates of return given above, what is the expected rat of return for Barry's portfolio?

b$.$ Barry is considering a reallocation of his investments to include more Treasury bills and less exposure to emergin markets. If Barry moves all of his money from the emerging market fund and puts it in Treasury bills, what will be the expected rate of retum on the resulting portfolio?

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

b$.$ If Barry moves all his money out of emerging market funds and puts it in Treasury bills, the expected rate of return for his portfolio is $\%.($Round to two decimal places.$)$

Data table

$\backslash$table$[[,\backslash$table$[[$Expected$],[$Return$]],$$ Value$],[$Treasury bills,$2\mathrm{.}7\%,82,000],[$S&P $500$ Index Fund,$6\mathrm{.}5\%,431,000],[$Emerging Market Fund,$12\mathrm{.}5\%,237,000]]$

$($Click on the icon $$ in order to copy its contents into a spreadsheet.$)$