Question

1. Rader Tire has the following results for the last six periods. Calculate and compare the betas using each index. Do not round intermediate calculations. Round your answers to three decimal places.

   	RATES OF RETURN
   Period	Rader Tire (%)		Proxy Specific Index (%)		True General Index (%)
   1	29		14		16
   2	13		12		12
   3	-11		-7		-9
   4	18		12		20
   5	20		20		26
   6	-5		-8		0

   β_{using proxy}:

   β_{using true}:

2. If the current period return for the market is 12 percent and for Rader Tire it is 13 percent, are superior results being obtained for either index beta? Do not round intermediate calculations. Round your answers to two decimal places.

   E(R_R)_{using proxy}:   %

   E(R_R)_{using true}:   %

   Rader’s performance would be -Select-inferior compared to eithersuperior compared to eithersuperior compared to true and inferior compared to proxysuperior compared to proxy and inferior compared to trueItem 6 .

Answer 1

Please refer the below screenshots for answer:

covaraince= sum((x(i)-mean(x))*(y(i)-mean(y))/n-1

variance=sum((x(i)-mean(x)^2)/n

similarly beta using true general

b. For calculating expected return we need to assume Risk free rate. In my calculations I have assumed it to be 5%