In: Finance
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t.
Po Q0 P1 Q1
A 87 100 92 100
B 47 200 42 200
C 94 200 104 200
What is the rate of return on the equal-weighted index of the three stocks?
O 1.92%
O 10.64%
O. 4.07%
O 4.39%
The Weightage of the Three stocks is Equal
So, Weights of each stock = 1/3
Total Value of Portfolio At Time 0
= Price of Stock A * Quantity of Stock A * Weight of stock A + Price of Stock B * Quantity of Stock B * Weight of stock B + Price of Stock C * Quantity of Stock C * Weight of stock C
= 87*100*(1/3) + 47*200* (1/3) + 94*200*(1/3)
= $12,300
Now, The Total Value of Portfolio At Time 1
= Price of Stock A * Quantity of Stock A * Weight of stock A + Price of Stock B * Quantity of Stock B * Weight of stock B + Price of Stock C * Quantity of Stock C * Weight of stock C
= 92*100*(1/3) + 42*200*(1/3) + 104*200*(1/3)
= $12,800
The Rate of return
= (Total Value of Portfolio At Time 1 - Total Value of Portfolio At Time 0) / Total Value of Portfolio At Time 0
= (12800-12300) / 12300
= 500/12300
= 4.065%
Or 4.07% (rounded off to nearest digit)
Option C is the correct answer