USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM

$\backslash$table$[[,$Stock Price,# Shares$],[,x,y,z,x,Y,Z,],[$Jan$.13,2005,20,40,30,1000,2000,{1000}^{**},],[$Jan$.14,2005,25,42,18,1000,2000,2000,],[$Jan$.15,2005,27,45,8,{1000}^{****},2000,2000,],[$Jan$.16,2005,20,40,10,3000,2000,2000,]]$

$*2$:$1$ Split on Stock Z after Close on Jan. $13,2005$

${?}^{****}3$:$1$ Split on Stock X after Close on Jan. $15,2005$

The base date for index calculations is January $13,2005$

Refer to Exhibit $4\mathrm{.}2.$ Calculate a value weighted index for Jan. $13$th if the initial index value is $100.$

a$.123\mathrm{.}07$

b$.100$

c$.143\mathrm{.}25$

d$.102\mathrm{.}31$

e$.111\mathrm{.}54$