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Alona [7]
2 years ago
13

The price of Chive Corp. stock will be either $86 or $119 at the end of the year. Call options are available with one year to ex

piration. T-bills currently yield 5 percent. a. Suppose the current price of the company's stock is $97. What is the value of the call option if the exercise price is $85 per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. Suppose the exercise price is $115 and the current price of the company's stock is $97. What is the value of the call option now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
1 answer:
marshall27 [118]2 years ago
3 0

Answer and Explanation:

a). Step 1: Calculate the option value at expiration based upon your assumption of a 50% chance of increasing to $119 and a 50% chance of decreasing to $86.

The two possible stock prices are:

S+ = $119 and S– = $86. Therefore, since the exercise price is $85, the corresponding two possible call values are:

Cu= $34 and Cd= $1.

Step 2: Calculate the hedge ratio:

(Cu– Cd)/(uS0– dS0) = (34 – 1)/(119 – 86) = 33/33 = 1

Step 3: Form a riskless portfolio made up of one share of stock and one written calls. The cost of the riskless portfolio is:

(S0– C0) = 97 – C0

and the certain end-of-year value is $86.

Step 4: Calculate the present value of $86 with a one-year interest rate of 5%:

$86/1.05 = $81.90

Step 5: Set the value of the hedged position equal to the present value of the certain payoff:

$97 – C0= $81.90

C0 = $97 - $81.90 = $15.10

b). Step 1: Calculate the option value at expiration based upon your assumption of a 50% chance of increasing to $119 and a 50% chance of decreasing to $86.

The two possible stock prices are:

S+ = $119 and S– = $86. Therefore, since the exercise price is $115, the corresponding two possible call values are:

Cu= $4 and Cd= $0.

Step 2: Calculate the hedge ratio:

(Cu– Cd)/(uS0– dS0) = (4 – 0)/(119 – 86) = 4/33

Step 3: Form a riskless portfolio made up of four shares of stock and thirty three written calls. The cost of the riskless portfolio is:

(4S0– 33C0) = 4(97) – 33C0 = 388 - 33C0

and the certain end-of-year value is $86.

Step 4: Calculate the present value of $86 with a one-year interest rate of 5%:

$86/1.05 = $81.90

Step 5: Set the value of the hedged position equal to the present value of the certain payoff:

$388 – 33C0= $81.90

33C0 = $388 - $81.90

C0 = $306.10 / 33 = $9.28

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Answer and Explanation:

The Preparation of cost of goods manufactured is shown below:-

<u>Statement of Cost of Good Manufactured </u>

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Direct Material    

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Direct material available     $330,000

(c = a + b)  

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Direct Material used                           $320,000  

(e = c - d)

Direct Labor                                        $398,000  

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Factory Overhead                              $285,000  

Total Manufacturing Cost                   $683,000  

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Less: Ending WIP Inventory                $35,000  

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<u>Schedule of cost of goods sold</u>

<u>Income statement for the year</u>

<u>Particulars                                             Amount</u>

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Cost of goods sold    

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finished product                      $50,000  

Cost of goods manufactured $690,000  

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for sales                                    $740,000  

Less:Ending finished good

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Cost of goods sold

(Unadjusted)                             $660,000  

Over-applied Overhead           $15,000  

                         ($285,000 - $270,000)

Cost of goods sold (Adjusted)                   $645,000

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Less: Selling & Administrative Expenses    

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Answer:

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$778.2

Explanation:

Total worth of gasoline sold = 16003.50

Cost of regular = 3.30

Cost of premium = 3.45

Let :

premium Gallon sold = x

Regular gallon sold = 370 + x

Hence, mathematically;

(3.45*x) + (3.30 * (x + 370)) = 16003.50

3.45x + 3.30x + 1221 = 16003.50

6.75x = 16003.50 - 1221

6.75x = 14782.5

x = 14782.5 / 6.75

x = 2190

Premium Gallon sold = 2190 gallons

Regular gallon sold = 2190 + 370 = 2560 gallons

Profit per regular gallon sold = $0.15

Progit per premium Gallon sold = $0.18

Total profit = (2190 * 0.18) + (2560 * 0.15) = $778.2

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