Answer: ER(P) = ERX(WX) + ERY(WY)
16 = 13(1-WY) + 9(WY)
16 = 13 - 13WY + 9WY
16 = 13 - 4WY
4WY = 13-16
4WY = -3
WY = -3/4
WY = -0.75
WX = 1 - WY
WX = 1 - (-0.75)
WX = 1 + 0.75
WX = 1.75
The amount to be invested in stock Y = -0.75 x $106,000
= -$79,500
The Beta of the portfolio could be calculated using the formula:
BP = BX(WX) + BY(WY)
BP = 1.14(1.75) + 0.84(-0.75)
BP = 1.995 - 0.63
BP = 1.365
Explanation: The expected return of the portfolio is equal to expected return of stock X multiplied by the weight of stock X plus the expected return of stock Y multiplied by weight of security Y. The weight of security Y is -0.75. The weight of security X is equal to 1 - weight of security Y. Thus, the weight of security X is 1.75 since the weight of security Y is negative. The amount to be invested in security Y is -0.75 x $106,000, which is equal to -$79,500
The Beta of the portfolio equals Beta of stock X multiplied by weight of stock X plus the Beta of stock Y multiplied by weight of stock Y. The weights of the two stocks have been obtained earlier. Therefore, the Beta of the portfolio is 1.365.
Answer:
Level of sales in dollars in order to generate a profit of $54,000 Fixed cost + Target profit/Contribution per unit $270,000 + $54,0000/0.75
= $432,000
Number of units to be sold
= Level of sales/Selling price
= $432,000/$36
= 12,000 units
The correct answer is A
Explanation:
In this case, we need to calculate level of sales in dollars, which is fixed cost plus target profit divided by contribution margin ratio. Then, we will calculate no of units to be sold, which is the level of sales divided by selling price.
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