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 $4.$

Actual Return Actual Weight Benchmark Weight Index Return

Equity $2\mathrm{.}4\%0\mathrm{.}40\mathrm{.}32\mathrm{.}9\%($S&P $500)$

Bonds $1\mathrm{.}30\mathrm{.}20\mathrm{.}21\mathrm{.}5($Barclay$$s Aggregate$)$

Cash $0\mathrm{.}80\mathrm{.}40\mathrm{.}50\mathrm{.}8$

Required:

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

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? $($Do not round intermediate calculations. Round your answer to $2$ decimal places. Negative amount should be indicated by a minus sign.$)$

c$.$ What was the contribution of asset allocation to relative performance? $($Do not round intermediate calculations. Round your answer to $2$ decimal places. Negative amount should be indicated by a minus sign.$)$