Exercise $1$ The stocks of three companies are traded in a financial market. Company A issues $N_A=200$

shares, company $B$ issues $N_B=50$ shares, company $C$ issues $N_C=70$ shares. The following table shows

the trading prices:

$($a$)P$ is a price$-$weighted index built using the three stocks. Find the return of the index from $t=0$ to

$t=1$ and from $t=1$ to $t=2.$

$($b$)Q$ is a value$-$weighted index built using the three stocks. Without computing it$,$ do you expect the

returns of $Q$ to be equal or different the one of $P?$ Why?