Problem $18-11($Algo$)$

Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager's portfolio in column $1,$ the fraction of the portfolio allocated to each sector in column $2,$ the benchmark or neutral sector allocations in column $3,$ and the returns of sector indices in column $4.$

$\backslash$table$[[,$Actual Return,Actual Height,Benchmark Weight,Index Return$],[$Equity$,2\mathrm{.}54,0\mathrm{.}6,0\mathrm{.}6,34($S$6$P $500)],[$Bonds$,1\mathrm{.}5,0\mathrm{.}1,0\mathrm{.}1,1\mathrm{.}7($Barclay$"$s Aggregate$)],[$Cash$,0\mathrm{.}5,0\mathrm{.}3,0\mathrm{.}3,0\mathrm{.}5]]$

Required:

a$-1.$ What was the manager's retum in the month? $($Do not round intermediate calculations. Input all amounts as positive values. Round your answer to $2$ decimal places.$)$

The manager's return in the month is

$\%$

a$-2.$ What was her overperformance or underperformance? $($Do not round intermediate calculations. Input all amounts as positive values. Round your answer to $2$ decimal places.$)$

$$

b$.$ What was the contribution of security selection to relative performance? DDo not round intermediate calculations Pound your answer to $2$ decimal places. Negative amount should be indicated by a minus sign.$)$

$$

c$.$ What was the contribution of asset alocation to relative performance? IDo mot round intermedlatte calculations. Round your answer to $2$ decimal places. Negative amount should be indicated by da minus signt