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fiasKO [112]
1 year ago
11

Are the signs of the coefficient estimates consistent with expectations? Explain.

Business
1 answer:
kow [346]1 year ago
7 0

The sign of each coefficient indicates the direction of the relationship between a predictor variable and the response variable. A positive sign indicates that as the predictor variable increases, the response variable also increases.

What do the estimates of the regression coefficients tell us?

You may determine if each independent variable and the dependent variable have a positive or negative association by looking at the sign of a regression coefficient. A positive coefficient means that the mean of the dependent variable tends to rise when the value of the independent variable rises.

What is predictor and response variable in regression?

The risk factors and confounders are referred to as the predictors, or explanatory or independent variables, whereas the outcome variable is also known as the response or dependent variable. The independent variables are designated by "X" while the dependent variable is denoted by "Y" in regression analysis.

Learn more about predictor and response variable in regression: brainly.com/question/14144041

#SPJ4

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A demand curve:
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What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B? Portfolio Average Retur
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Answer:

The Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

Explanation:

<em>Solution</em>

Given that:

Now,

The Jensen’s alpha of a Portfolio is computed by applying  the formula  below:

Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return ) ) ]

For the information given in the question we have the following,

The Risk free rate of return = 3. 1%

In order to find the Jensen’s alpha we have to first get the following from the information given in the question :

1. Portfolio Return

2. Portfolio Beta

3.Market Rate of Return

Thus,

(A)Calculation of Portfolio Return :

The formula for calculation of Portfolio Return is  given as:

E(RP) = ( RA * WA )+ ( RB * WB )

Where

E(RP) = Portfolio Return

RA = Average Return of Portfolio A ; WA = Weight of Investment in Portfolio A

RB = Average Return of Portfolio B ;  WB = Weight of Investment in Portfolio B

For the information given in the question we have the following:

RA = 18.9 %, WA = 45 % = 0.45, RB = 13.2 %,  WB = 55 % = 0.55

By applying the values in the formula we have

= ( 18.9 % * 0.45 ) + ( 13.2 % * 0.55 )

= 8.5050 % + 7.2600 % = 15.7650 %

(B). Calculation of Portfolio Beta:

Now,

The formula for calculating the Portfolio Beta is

ΒP = [ ( WA * βA ) + ( WB * βB ) ]

Where,

βP = Portfolio Beta

WA = Weight of Investment in Portfolio A = 45 % = 0.45 ; βA = Beta of Portfolio A = 1.92

WB = Weight of Investment in Portfolio B = 55 % = 0.55 ; βB = Beta of Portfolio B = 1.27

By Applying the above vales in the formula we have

= ( 0.45 * 1.92 )   + ( 0.55 * 1.27 )

= 0.8640 + 0.6985

= 1.5625

(C). Calculation of Market rate of return :

Now,

The Market Risk Premium = Market rate of return - Risk free rate

From the Information given in the Question we have

The Market Risk Premium = 6.8 %

Risk free rate = 3. 1 %

Market rate of return = To find

Then

By applying the above information in the Market Risk Premium formula we have

6.8 % = Market rate of Return - 3.1 %

Thus Market rate of return = 6.8 % + 3.1 % = 9.9 %

So,

From the following  information, we gave

Risk free rate of return = 3.1% ; Portfolio Return = 15.7650 %

The Portfolio Beta = 1.5625 ; Market Rate of Return = 9.9 %

Now

Applying the above values in the Jensen’s Alpha formula we have

The Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return )) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * ( 9.9 % - 3.1 % ) ) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * 6.8 % ) ]                  

= 15.7650 % - [ 3.1 % + 10.6250 % ]

= 15.7650 % - 13.7250 %

= 2.0400 %

= 2.04 % ( when rounded off to two decimal places )

Therefore, the Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

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