An investment banker has recommended a​ $100,000 portfolio containing assets​ B, D, and F.​ $20,000 will be invested in asset​ B, with a beta of​ 1.5; $50,000 will be invested in asset​ D, with a beta of​ 2.0; and​ $30,000 will be invested in asset​ F, with a beta of 0.5. The beta of the portfolio is​ ________.

Respuesta :

Answer:

1.45

Explanation:

Investment:

Stock B = $20,000

Stock D = $50,000

Stock F = $30,000

Total investment = $20,000 + $50,000 + $30,000

                            = $100,000

Weight:

= Investment ÷ Total investment

Therefore,

Weight of Stock B:

= $20,000 ÷ $100,000

= 0.2

Weight of Stock D:

= $50,000 ÷ $100,000

= 0.5

Weight of Stock F:

= $30,000 ÷ $100,000

= 0.3

Beta of the portfolio:

= (Weight of Stock B × Beta) + (Weight of Stock D × Beta) + (Weight of Stock F × Beta)

= (0.2 × 1.5) + (0.5 × 2.0) + (0.3 × 0.5)

= 0.30 + 1 + 0.15

= 1.45

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