The proportion of the optimal risky portfolio that should be invested in stock A is 0%.
Using this formula
Stock A optimal risky portfolio=[(Wa-RFR )×SDB²]-[(Wb-RFR)×SDA×SDB×CC] ÷ [(Wa-RFR )×SDB²+(Wb-RFR)SDA²]- [(Wa-RFR +Wb-RFR )×SDA×SDB×CC]
Where:
Stock A Expected Return (Wa) =16%
Stock A Standard Deviation (SDA)= 18.0%
Stock B Expected Return (Wb)= 12%
Stock B Standard Deviation(SDB) = 3%
Correlation Coefficient for Stock A and B (CC) = 0.50
Risk Free rate of return(RFR) = 10%
Let plug in the formula
Stock A optimal risky portfolio=[(.16-.10)×.03²]-[(.12-.10)×.18×.03×0.50]÷ [(.16-.10 )×.03²+(.12-.10)×.18²]- [(.16-.10 +.12-.10 )×.18×.03×0.50]
Stock A optimal risky portfolio=(0.000054-0.000054)÷(0.000702-0.000216)
Stock A optimal risky portfolio=0÷0.000486×100%
Stock A optimal risky portfolio=0%
Inconclusion the proportion of the optimal risky portfolio that should be invested in stock A is 0%.
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Answer:
The depreciation expense for the company is $4615.
Explanation:
profit before depreciation and tax = (sales - cost) - interest expense
= ($51,200 - $39,600) - $1,560
= $10040
Addition to retained earnings = $2,320
dividends paid = $935
tax rate = 40 percent.
Addition to retained earnings = [(Profit before depreciation and tax - depreciation expense ) * (1- Tax)] - dividend paid
$2320 = [($10040 - depreciation expense)* (1 - 0.40)] - 935
$3255 = ($10040 - depreciation expense)* 0.60
$5425 = $10040 - depreciation expense
Depreciation expense = 10040 - 5425
= $4615
Therefore, The depreciation expense for the company is $4615.
Answer:
Weighted average contribution margin= $1.85
Explanation:
Giving the following information:
It sells two large drinks for every small drink. A large drink sells for $3.00 with a variable cost of $ 0.60. A small drink sells for $ 1.25 with a variable cost of $ 0.50.
To calculate the weighted average contribution margin, we need to use the following formula:
Weighted average contribution margin= (weighted average selling price - weighted average unitary variable cost)
Sales proportion:
Large drink= 0.67
Small drink= 0.33
Weighted average contribution margin= (0.67*3 + 0.33*1.25) - (0.67*0.6 + 0.33*0.5)
Weighted average contribution margin= 2.4225 - 0.567
Weighted average contribution margin= $1.85
<span>John's mistake of driving his car to work, instead of to the golf course to play with his friends, is an example of habitual behavior. John has developed the habit of driving to work during his work week. Even though he is now on vacation, he falls victim to habitual behavior and proceeds to the incorrect destination.</span>
