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motikmotik
3 years ago
13

J Corp. common stock is priced at $36.50 per share. The company just paid its $0.50 quarterly dividend. Interest rates are 6.0%.

A $35.00 strike European call, maturing in 6 months, sells for $3.20. What is the price of a 6-month, $35.00 strike put option
Business
1 answer:
viva [34]3 years ago
5 0

Answer:

Explanation:

The time (T) = 6 months = 6/12 years  = 0.5 years

Interest rate (r) = 6% = 0.06

The stock is priced [S(0)] = $36.50

The price the stock sells at 6 months (V_c) = $3.20

European call (K) = $35

The price (P) is given by:

P=V_c+K.e^{-rT}-S(0)+Dividends\\But, Dividends = 0.5*e^{-0.25*0.06}+ 0.5*e^{-0.5*0.06}\\Therefore, P=V_c+K.e^{-rT}-S(0)+0.5*e^{-0.25*0.06}+ 0.5*e^{-0.5*0.06}\\Substituting:\\P=3.2+35*e^{-0.06*0.5}-36.5+0.5*e^{-0.25*0.06}+ 0.5*e^{-0.5*0.06}\\P=3.2+33.9656-36.5+0.4926+0.4852\\P=1.64

The price of a 6-month, $35.00 strike put option is $1.65

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Way Cool produces two different models of air conditioners. The company produces the mechanical systems in its components depart
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1. Overhead Cost per unit for each product line:

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Total cost per unit           $634.97                          $569.59

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                                      Model 145                        Model 212

Market price                      515.95                             303.34

Loss per unit                   $119.02                          $266.25

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Process Activity     Overheads   Driver Quantity     Components  O/H rates

Changeover          $ 627,450     Number of batches        890          $705

Machining                 379,155      Machine hours            8,050            $47.10

Setups                      108,000      Number of setups            60       $1,800

Total                     $ 1,114,605

Finishing

Welding                 $ 220,580     Welding hours             4,100       $538

Inspecting                 254,200     Number of inspections 820       $310

Rework                        47,200     Rework orders               160       $295

Total                       $ 521,980

Support Purchasing $ 158,600   Purchase orders           488      $325

Providing space            30,900   Number of units        8,400      $3.68

Providing utilities         126,180    Number of units        8,400      $15.02

Total                        $ 315,680

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                                 Model 145      Model 212

Units produced            2,800             5,600

Welding hours                800              3,300

Batches                           445                 445

Number of inspections   510                 310

Machine hours            2,750             5,300

Setups                               30                  30

Rework orders                 90                   70

Purchase orders            325                 163

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Units produced            2,800                                  5,600

Welding hours              $430,400 (800*$538)    $1,775,400 (3,300 * $538)

Batches                            313,725 (445*$705)          313,725 (445*$705)

Number of inspections    158,100 (510*$310)             96,100 (310*$310)

Machine hours                129,525 (2,750*$47.10)   249,630 (5,300*$47.10)

Setups                               54,000 (30*$1,800)          54,000 (30*$1,800)

Rework orders                 26,550 (90*$295)            20,650 (70*$295)

Purchase orders             105,625 (325*$325)          52,975 (163*$325)

Total overhead costs $1,217,925                       $2,562,480

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Overhead cost per unit    $434.97                         $457.59

Direct labor and materials 200.00                             112.00

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Loss per unit                    $119.02                          $266.25

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