Question

9. Suppose that the market can be described by the following three sources of systematic risk...

9.

Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums.

  Factor Risk Premium
  Industrial production (I) 7%           
  Interest rates (R) 2              
  Consumer confidence (C) 5              
The return on a particular stock is generated according to the following equation:
r = 19% + 0.8I + 0.4R + 0.50C + e
a-1.

Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 5%. (Do not round intermediate calculations. Omit the "%" sign in your response.)

  Equilibrium rate of return % ?
a-2. Is the stock over- or underpriced?
  • Overpriced or Underpriced?

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Answer #1

a-1. Equilibrium rate of return on this stock =Risk free rate+0.8*IP+0.4*R+0.50*C =3%+0.8*7%+0.4*2%+0.50*5% =11.90%
Equilibrium Rate of return using APT =11.90%

a-2. Since Expected Return of 19% is less than equilibrium rate hence the stock is overpriced Option a is correct option


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