Answer Happy

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:  
           
Expected
Return
​ $ Value
Treasury bills
3.4​%
  56,000
​ S&P 500 Index Fund
6.8​%
412,000
Emerging Market Fund
11.7​%
.
a.  Based on the current portfolio composition and the expected
rates of return given​ above, what is the expected rate of
return for​ Barry's portfolio?
b.  Barry is considering a reallocation of his investments to
include more Treasury bills and less exposure to emerging 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
return on the resulting​ portfolio?