Consider the three stocks in the following table. Pt represents price at time t$,$ and Qt represents shares outstanding at time t$.$ Stock C splits two for one in the last period.

P$0$ Q$0$ P$1$ Q$1$ P$2$ Q$2$

A $901009510095100$

B $502004520045200$

C $10020011020055400$

a$.$ Calculate the rate of return on a price$-$weighted index of the three stocks for the first period $($t $=0$ to t $=1).($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ Calculate the new divisor for the price$-$weighted index in year $2.($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

c$.$ Calculate the rate of return for the second period $($t $=1$ to t $=2).($Round your answer to $2$ decimal places.$)$