Question

In: Finance

Given the following information, calculate the beta for the portfolio of stocks A, B, and C....

Given the following information, calculate the beta for the portfolio of stocks A, B, and C. (Answer to the nearest tenth). Amount Stock Invested Beta Stock A $7,000 1.2 Stock B $1,000 1.3 Stock C $4,000 0.5

Solutions

Expert Solution

Information provided:

Amount invested in stock A= $7,000

Amount invested in stock B= $1,000

Amount invested in stock C= $4,000

Beta of stock A= 1.2

Beta of stock B= 1.3

Beta of stock C= 0.5

Total portfolio value= $7,000 + $1,000 + $4,000

                                       = $12,000

Weight of stock A= $7,000/ $12,000

                                  = 0.5833*100

                                  = 58.33%

Weight of stock B= $1,000/ $12,000

                                  = 0.0833*100

                                  = 8.33%

Weight of stock C= $4,000/ $12,000

                                  = 0.3333*100

                                  = 33.33%

Portfolio Beta= 0.5833*1.2 + 0.0833*1.3 + 0.3333*0.5

                         = 0.70 + 0.1083 + 0.16667

                         = 0.9750.

In case of any query, kindly comment on the solution.


Related Solutions

Given the following information about the returns of stocks A, B, and C, what is the...
Given the following information about the returns of stocks A, B, and C, what is the expected return of a portfolio invested 30% in stock A, 40% in stock B, and 30% in stock C? State of Economy Probability Stock A Stock B Stock C Boom 0.19 0.36 0.24 0.37 Good 0.22 0.21 0.12 0.24 Poor 0.28 0.06 0 0.02 Bust -- -0.1 -0.27 -0.25 Answer must be in percents!
Given the following information about the returns of stocks A, B, and C, what is the...
Given the following information about the returns of stocks A, B, and C, what is the expected return of a portfolio invested 30% in stock A, 40% in stock B, and 30% in stock C? State of economy Probability Stock A Stock B Stock C Boom 0.14 0.33 0.36 0.26 Good 0.29 0.29 0.15 0.27 Poor 0.21 0 0.01 0.02 Bust -- -0.19 -0.21 -0.11 Enter answer in percents.
Q1/Given the following information about the returns of stocks A, B, and C, what is the...
Q1/Given the following information about the returns of stocks A, B, and C, what is the expected return of a portfolio invested 30% in stock A, 40% in stock B, and 30% in stock C? State of economy Probability Stock A Stock B Stock C Boom 0.15 0.24 0.31 0.23 Good 0.21 0.19 0.14 0.12 Poor 0.25 0.01 0.08 0.04 Bust -- -0.29 -0.16 -0.19 Enter answer in percents. Q2/GIMP Inc., is trying to determine its cost of debt. The...
Q1/Given the following information about the returns of stocks A, B, and C, what is the...
Q1/Given the following information about the returns of stocks A, B, and C, what is the expected return of a portfolio invested 30% in stock A, 40% in stock B, and 30% in stock C? State of economy Probability Stock A Stock B Stock C Boom 0.12 0.2 0.23 0.37 Good 0.24 0.15 0.12 0.18 Poor 0.25 0 0.08 0.09 Bust -- -0.13 -0.2 -0.18 Enter answer in percents. Q2/A stock has an expected return of 10.2 percent, the risk-free...
12. Given the following information about the returns of stocks A, B, and C, what is...
12. Given the following information about the returns of stocks A, B, and C, what is the expected return of a portfolio invested 30% in stock A, 40% in stock B, and 30% in stock C? State of economy Probability Stock A Stock B Stock C Boom 0.19 0.36 0.21 0.39 Good 0.23 0.23 0.22 0.23 Poor 0.25 0.06 0.07 0.06 Bust -- -0.14 -0.1 -0.21 Enter answer in percents.
Given the following information (identical to Part A); what is the Beta of your portfolio with...
Given the following information (identical to Part A); what is the Beta of your portfolio with $190,000 in ASX, $120,000 in SPY and $90,000 in Risk-Free? Annualized  Returns Risk-Free 2.5% ASX Year Return 2017 40.0% 2018 20.0% 2019 -30.0% Today 2020 10.0% Market Estimates (SPY) Recession Trend Boom Probability of Occurance 35% 25% 40% Return Estimate -0.23 0.06 0.35 Correlation Coefficient (AXS, SPY) 0.74530
Consider the following information for three stocks, Stocks A, B, and C. The returns on the...
Consider the following information for three stocks, Stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 7.94 16 0.7 B 9.62 16 1.1 C 11.72 16 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is...
Consider the following information for Stocks A, B, and C. The returns on the three stocks...
Consider the following information for Stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (that is, each of the correlation coefficients is between 0 and 1). Stock Expected Return Standard Deviation Beta A 9.55% 15.00% 0.9 B 10.45% 15.00% 1.1 C 12.70% 15.00% 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium....
Consider the following information for stocks A, B, and C. The returns on the three stocks...
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 9.35% 15% 0.7 B 12.65    15    1.3 C 14.85    15    1.7 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium....
Consider the following information for stocks A, B, and C. The returns on the three stocks...
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 8.65% 16% 0.7 B 10.45    16    1.1 C 12.25    16    1.5 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5.5%, and the market is in equilibrium....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT