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Elza [17]
3 years ago
7

You have a $15,000 portfolio which is invested in Stocks A and B, and a risk-free asset. $6,000 is invested in Stock A. Stock A

has a beta of 1.63 and Stock B has a beta of .95. How much needs to be invested in Stock B if you want a portfolio beta of 1.10?
Business
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

$7073.68

Explanation:

Data provided in the question:

Worth of portfolio = $15,000

Amount invested in stock A = $6,000

Beta of stock A = 1.63

Beta of stock B = 0.95

Beta of portfolio = 1.10

Now,

Beta portfolio = ∑(Weight × Beta)

let the amount invested in Stock B be 'x'

thus,

1.10 = [($6,000 ÷ $15,000 ) × 1.63] +  [( x ÷ $15,000 ) × 0.95 ]

or

1.10 = 0.652 + [( x ÷ $15,000 ) × 0.95 ]

or

0.448 = [( x ÷ $15,000 ) × 0.95 ]

or

x = ( 0.448 × $15,000 ) ÷ 0.95

or

x = $7073.68

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yulyashka [42]

Answer:

Yes Strawberry line should be dropped as it reduces the overall profit by$ 3600 when the fixed costs are not 20 %

Yes Strawberry line should be dropped as it reduces the overall profit by$ 1720 even when the fixed costs are  20 %

Explanation:

Cotrone Beverages

Differential Analysis

                          Totals                    Totals             Difference / Change

                      including    (less)   Without   (equals)

                     Strawberry             Strawberry

Sales                           253,200    167,600           85600  Decrease

Variable costs              201,400   124,200          77200    Decrease

Fixed costs allocated  35,600        28,480          7120    Decrease

<u>Operating profit (loss)   </u><u>13,200       14,920           (1720)     Increase</u>

<u>Working </u>

<u>Total Fixed Costs Reduced will be = </u> 35,600 *20%= 7120

Here we see the profit is increased by 1720 therefore strawberry line should be dropped.

Cotrone Beverages

Differential Analysis

                          Totals                    Totals             Difference / Change

                      including    (less)   Without   (equals)

                     Strawberry             Strawberry

Sales                           253,200    167,600           85600  Decrease

Variable costs              201,400   124,200          77200    Decrease

Contribution margin     51,800       43,400           8,400    Decrease

Fixed costs allocated  35,600        23,600          12000    Decrease

<u>Operating profit (loss)   </u><u>13,200       16,800           (3,600)   Increase</u>

<u></u>

Yes Strawberry line should be dropped as it reduces the overall profit by$ 3600

<u><em>Working </em></u>

<u><em>We find the totals with and without the strawberry product line and then subtract to find the   differential costs</em></u>

Cotrone Beverages

Product                        Original             Strawberry       Orange     Total

Sales                            $65,200            $85,600         $102,400   253,200

Variable costs              44,000              77,200             80,200      201,400

Contribution margin $21,200                $8,400          $22,200       51,800

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If we drop the strawberry line then the new totals would be

Product                        Original          Orange      Total

Sales                            $65,200       $102,400   167,600

Variable costs              44,000          80,200      124,200

Contribution margin $21,200          $22,200       43,400

Fixed costs allocated 9,400               14,200     23,600

Operating profit (loss) $11,800           $8,000     16,800

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Under a job-order costing system, the dollar amount transferred from Work in Process to Finished Goods is the sum of the costs c
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