Question

In: Finance

Consider the three stocks in the following table. Pt represents price at time t, and Qt...

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%

Solutions

Expert Solution

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


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