Suppose the riskless return is 4½% and the factor sensitivities and factor return premiums for BioTherm and the S&P 500 index are given below. Using the APT, what should be the required returns for BioTherm shares and for the S&P 500 Stock index? Risk factor BioTherm factor sensitivity S&P 500 factor sensitivity Expected factor return premiums Confidence risk 0.15 0.30 2.70% Time horizon risk 0.70 0.56 ─0.70% Inflation risk ─0.40 ─0.35 ─4.30% Business-cycle risk 1.45 1.75 1.50% Market-timing risk 1.20 1.00 3.60%
Suppose the riskless return is 4½% and the factor sensitivities and factor return premiums for BioTherm and the S&P 500 index are given below. Using the APT, what should be the required returns for BioTherm shares and for the S&P 500 Stock index? Risk factor BioTherm factor sensitivity S&P 500 factor sensitivity Expected factor return premiums Confidence risk 0.15 0.30 2.70% Time horizon risk 0.70 0.56 ─0.70% Inflation risk ─0.40 ─0.35 ─4.30% Business-cycle risk 1.45 1.75 1.50% Market-timing risk 1.20 1.00 3.60%
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Suppose the riskless return is 4½% and the factor sensitivities and factor return premiums for BioTherm and the S&P 500 index are given below. Using the APT, what should be the required returns for BioTherm shares and for the S&P 500 Stock index?
Risk factor |
BioTherm factor sensitivity |
S&P 500 factor sensitivity |
Expected factor return premiums |
Confidence risk |
0.15 |
0.30 |
2.70% |
Time horizon risk |
0.70 |
0.56 |
─0.70% |
Inflation risk |
─0.40 |
─0.35 |
─4.30% |
Business-cycle risk |
1.45 |
1.75 |
1.50% |
Market-timing risk |
1.20 |
1.00 |
3.60% |
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Required returns = Rik less Return + (Factor Sensitivity * Expected Factor Return Premiums)
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