Answer:
Portfolio weight of Stock A
= $37,500/$100,000
= 0.375
Portfolio weight of Stock B
= ($100,000 – $37,500)/ $100,000
= 0.625
Portfolio beta of Stock A
= 0.375 x 0.75
= 0.281
Portfolio beta of Stock B
= 0.625 x 1.42 = 0.887
Troy’s portfolio beta
= 0.281 + 0.887
=1.174