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

ID: 2814675 • Letter: C

Question

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 (t2) 92 52 104 100 200 200 97 47 114 100 200 200 2 97 47 57 100 200 400 Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted index Rate of return b. An equally weighted index Rate of return

Explanation / Answer

Market Value Weighted Index Return:

Market Value in Period 0 = 92 * 100 + 52 * 200 + 104 * 200 = 40400

Market Value in Period 1 = 97 * 100 + 47 * 200 + 114 * 200 = 41900

Market Value Weighted Index Return = (41900-40400)/40400 = 3.71%

(b) Equal Weighted Index Return :

= 1/3 * (97-92)/92 + 1/3 * (47-52)/47 + 1/3 * (114-104)/104 = 1.81%