Consider a two-factor Arbitrage Pricing Theory (APT) model, r₁ = a₁ + b₁₁ifi + b2,if2 + €₁, with the following information Asset i fi Asset 1 0.07 0.50 0.25 Asset 2 0.15 1.10 0.75 Asset 3 0.20 1,3 1.0 b1,b2,i b₁,i and the risk-free rate rp is 0.025. (a) Find the value of b1,3 to preclude arbitrage opportunity. (b) Explain how you would exploit an arbitrage opportunity if there is an Asset 4 with 4 = 0.13, b₁,4 = 0.8, and b2,4 = 0.4.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter3: Risk And Return: Part Ii
Section: Chapter Questions
Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...
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Consider a two-factor Arbitrage Pricing Theory (APT) model,
T; = a; + b1,ifı + b2.i f2 + €i,
with the following information
Asset i
Asset 1 0.07 0.50 0.25
Asset 2 0.15 1.10 0.75
Asset 3 0.20 b1,3
Hi
b1i b2i
1.0
and the risk-free rate rp is 0.025.
(a)
Find the value of b13 to preclude arbitrage opportunity.
(b)
is an Asset 4 with 4 = 0.13, b14 = 0.8, and b2.4 = 0.4.
Explain how you would exploit an arbitrage opportunity if there
Transcribed Image Text:Consider a two-factor Arbitrage Pricing Theory (APT) model, T; = a; + b1,ifı + b2.i f2 + €i, with the following information Asset i Asset 1 0.07 0.50 0.25 Asset 2 0.15 1.10 0.75 Asset 3 0.20 b1,3 Hi b1i b2i 1.0 and the risk-free rate rp is 0.025. (a) Find the value of b13 to preclude arbitrage opportunity. (b) is an Asset 4 with 4 = 0.13, b14 = 0.8, and b2.4 = 0.4. Explain how you would exploit an arbitrage opportunity if there
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