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
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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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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