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baherus [9]
3 years ago
5

Jackie has one risk-free asset and one risky stock in her portfolio. The risk-free has an expected return of 3.2 percent. The ri

sky asset has a beta of 1.3 and an expected return of 14.9 percent. What is the expected return on the portfolio if the portfolio beta is 0.975?
Business
1 answer:
masha68 [24]3 years ago
8 0

Answer:

Portfolio Return = 11.975%

Explanation:

The portfolio return is calculated by taking the weights of individual securities in a portfolio and multiplying them by the return of individual securities. The formula can be written as,

Portfolio return = wA * rA + wB * rB

Where,

  • wA is the weight of security A
  • rA is the return on security A
  • wB is the weight of security B
  • rB is the return on security B

The risk free asset has a beta of zero.

Let the weight of risk free asset be x. The weight of risky asset is 1-x.

Portfolio beta =       0.975 =  x * 0 + (1-x) * 1.3

0.975 = 1.3 - 1.3x

0.975 - 1.3 = -1.3x

-0.325 / -1.3 = x

x = 0.25

Portfolio return = 0.25 * 0.032 + (1-0.25) * 0.149 = 0.11975 or 11.975%

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3 years ago
An asset falling under the MACRS five-year class was purchased three years ago for $200,000 (its original depreciation basis). C
Nitella [24]

Answer:

(a) The cash flows is $59,040.

(b) The cash flows is $71,040.

Explanation:

From the  Modified Accelerated Cost Recovery System (MACRS) Tables, the depreciation rates for the first 3 years for an asset falling under the MACRS five-year class are 20%, 32% and 19.2%. Therefore, we have:

Accumulated depreciation rate = 20% + 32% + 19.2% = 71.20%

Accumulated depreciation = Cost of the asset * Accumulated depreciation rate =  $200,000 * 71.20% = $142,400

Net book value of the asset = Cost of the asset - Accumulated depreciation = $200,000 - $142,400 = $57,600

We can now proceed as follows:

(a) Calculate the cash flows if the asset is sold now at $60,000

Capital gains = Sales proceeds - Net book value = $60,000 - $57,600 = $2,400

Capital gains tax = Capital gains * Tax rate = $2,400 * 40% = $960

Net sales proceeds = Sales proceeds - Capital gains tax = $60,000 - $960 = $59,040

Therefore, the cash flows is $59,040 net sales proceeds.

(b) Calculate the cash flows if the asset is sold now at $80,000

Capital gains = Sales proceeds - Net book value = $80,000 - $57,600 = $22,400

Capital gains tax = Capital gains * Tax rate = $22,400 * 40% = $8,960

Net sales proceeds = Sales proceeds - Capital gains tax = $80,000 - $8,960 = $71,040

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Answer:

break even point in units = 2,667

break even point in $ = $33,338

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The break even point marks the point where a company is able to cover all its expenses. At this point the company is not losing money, but it is not making a profit either.

break even point in units = total fixed costs / contribution margin

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break even point in units = $10,000 / $3.75 = 2,666.67 ≈ 2,667 units

break even point in $ = 2,667 units x $12.50 per unit = $33,337.50 ≈ $33,338

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