Consider the following three stocks:

StockPrice at $0$Number of shares outstandingPrice at time $1$Stock A$$40200$$$45$Stock B$$80100$$$60$Stock C$$101000$$$20$

a$.$ The price$-$weighted index constructed with the three stocks at time $0$ using a divisor of $3$ is $.$ Please round it to two decimal places.$$

b$.$ The percentage change of the price$-$weighted index from time $0$ to time $1$ is $\%.$ Please express the answer as a percentage and round it to two decimal places.

For example if the percentage change is $32\mathrm{.}49\%,$ please enter $32\mathrm{.}49.$

c$.$ In this index, Stock has the highest influence on the movement in the index value.$$

d$.$ In a value$-$weighted index, Stock will have the highest influence on the movement in the index value.$$

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