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kozerog [31]
3 years ago
14

The Market Outlet has a beta of 1.38 and a cost of equity of 14.945 percent. The risk-free rate of return is 4.25 percent. What

discount rate should the firm assign to a new project that has a beta of 1.25?
Business
1 answer:
evablogger [386]3 years ago
7 0

Answer:

The discount rate assign to a new project with a Beta of 1.25 is 13.94%

Explanation:

The applicable formula is the Capital Asset Pricing Model formula of Miller and Modgliani  quoted below:

Ke = Rf + (Market risk premium x Beta)

Currently Ke=14.945%

Beta =1.38

Risk free rate of return (Rf) is 4.25%

Market risk premium is the unknown

14.945%=4.25%+(Market Risk Premium)*1.38

14.945%-4.25%=Market Risk Premium*1.38

10.70% =Market Risk Premium*1.38

10.70%/1.38=Market Risk Premium

Market Risk Premium =7.75%

However, the new project cost of equity has to be determined due to having a different Beta factor of 1.25(a different risk appetite)

Using the above formula, we have

Ke=4.25%+(7.75% *1.25)

Ke =13.94%

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Part a.

Income statement based on the absorption costing concept.

Sales                                                                                      $8,800,000.00

Less Cost of Sales

Beginning  Inventory                                          $0

Add Manufacturing Cost                          $6,048,000.00

Less Ending Inventory                                ($504,000.00) ($5,544,000.00)

Gross Profit                                                                            $3,256,000.00

Less Expenses :

Selling and administrative expenses:

Variable                                                      $528,000.00

Fixed                                                           $352,000.00     ($880,000.00)

Net Income/(loss)                                                                   $2,376,000.00

Part b.

Income statement based on the variable costing concept.

Sales                                                                                      $8,800,000.00

Less Cost of Sales

Beginning  Inventory                                          $0

Add Manufacturing Cost                          $5,520,000.00

Less Ending Inventory                                ($460,000.00) ($5,060,000.00)

Contribution                                                                            $3,740,000.00

Less Expenses :

Fixed manufacturing cost                          $528,000.00

Selling and administrative expenses:

Variable                                                      $528,000.00

Fixed                                                           $352,000.00      ($1,408,000.00)

Net Income/(loss)                                                                    $2,332,000.00

Part c.

Reason : Fixed Costs deferred in Ending Inventory in Absorption Costing has resulted in a higher Income.

Explanation:

<u>Units in Ending Inventory Calculation :</u>

Production                             48,000

Less Sales                            (44,000)

Ending Inventory                    4,000

Absorption Costing Calcs

<u>Variable Manufacturing Costs</u>

Direct materials                         $3,360,000.00

Direct labor                                 $1,344,000.00

Variable manufacturing cost        $816,000.00

Fixed manufacturing cost            $528,000.00

Total                                           $6,048,000.00

Ending Inventory =  $6,048,000.00 × 4,000 / 48,000

                            =   $504,000

Variable Costing Calcs

<u>Variable Manufacturing Costs</u>

Direct materials                         $3,360,000.00

Direct labor                                 $1,344,000.00

Variable manufacturing cost        $816,000.00

Total                                           $5,520,000.00

Ending Inventory =  $5,520,000.00 × 4,000 / 48,000

                            =   $460,000

4 0
3 years ago
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