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Svetach [21]
4 years ago
12

. The current price of a stock is $50. In 1 year, the price will be either $65 or $35. The annual risk-free rate is 10%. Find th

e price of a call option on the stock that has an exercise price of $55 and that expires in 1 year. (Hint: Use daily compounding.)
Business
1 answer:
Masteriza [31]4 years ago
4 0

Answer:

The correct answer will be "6.11008554". Further explanation is given below.

Explanation:

The given values are:

The current stock's price

= $50

Annual rate

= 10%

Exercise price

= $55

Expiry time

= 1 year

Now,

On applying the formula, we get

⇒  \frac{(MAX(65-55,0))-MAX(35-55,0)}{65-35}\times \frac{(MAX(65-55,0))-MAX(35-55,0)}{65-35}\times \frac{(MAX(65-55,0))-MAX(35-55,0)}{(\frac{1+10 \ percent}{365} )^{365}}⇒  6.11008554

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The price of a European call option on a non-dividend-paying stock with a strike price of $50 is $6. The stock price is $51, the
klemol [59]

Answer: 2.09

Explanation:

Given the following ;

Strike price (K) = $50

Price (c) = $6

Rate (r) = 6% = 0.06

Stock price (So) = $51

Time (T) = 1

Recall, relation for a put-call parity(p) is given by:

p + So = c + Ke^-(rT)

p = c + [Ke^-(rT)] - So

p = 6 + [50e^-(0.06 × 1)] - 51

p = 6 + [50×e^-0.06] - 51

p = 6 + (50 × 0.9417645) - 51

p = 6 + 47.0882267 - 51

p = 53.0882267 - 51

p = 2.0882267

p = 2.09

4 0
3 years ago
Local playground equipment company plans to operate out of its current factory, which is estimated to last 30 years. all cost de
OLEGan [10]

All cost decisions it makes during the 30 year period is,

are zero because the cost decisions were made at the beginning of the business

6 0
4 years ago
Yard Tools manufactures lawnmowers, weed-trimmers, and chainsaws. Its sales mix and unit contribution margin are as follows.
Firlakuza [10]

Answer:

Lawnmowers= 45,726

Weed-trimmers= 114,314

Chainsaws= 68,589

Explanation:

Giving the following information:

Sales Mix - Unit Contribution Margin

Lawnmowers 20 % $34

Weed-trimmers 50 % $24

Chainsaws 30 % $37

Yard total has fixed cost of $6,836,000

Based on the weighted average sales participation and the unit contribution margin, we can calculate the weighted average contribution margin for the whole company. We need it to calculate the break-even point in units.

Break-even point (units)= Total fixed costs / (weighted average selling price - weighted average variable expense)

Weighted average contribution margin= sales participation per product* unitary contribution margin

Weighted average contribution margin= (0.20*34) + (0.5*24) + (0.3*37)= 29.9

Break-even point (units)= 6,836,000/ 29.9= 228,629 units

<u>Now, we can calculate the required units for each product:</u>

Lawnmowers= 0.20*228,629= 45,726

Weed-trimmers= 0.50*228,629= 114,314

Chainsaws= 0.3*228,629= 68,589

4 0
4 years ago
A retailer spends a $500 per month to keep its online shop active and updated. The store acquires shirts at a cost of $5 per shi
Vesnalui [34]

Answer:

100 shirts

Explanation:

Borrowing from the contribution margin concept, the level where the marginal benefit is greater than total costs is the break-even point.

Break-even point = fixed cost / contribution margin per unit.

For this retailer,

Fixed costs are $500,

The contribution margin per unit = selling price- variable cost

=$10-$5

=$5

Break-even point

= $500/$5

= 100units

3 0
3 years ago
Quilcene Oysteria farms and sells oysters in the Pacific Northwest. The company harvested and sold 7,200 pounds of oysters in Au
Ainat [17]

Answer:

Quilcene Oysteria

Computation of revenue and spending variances for August:

                                                                Flexible      Actual      Variance

For the Month Ended August 31

Actual pounds (q)                                    7,200         7,200        None

Revenue ($4.20q)                                  $30,240    27,200      $3,040   U

Expenses:

Packing supplies ($0.35q)                        2,520      2,690           -170    U

Oyster bed maintenance ($3,300)           3,300       3,160            140    F

Wages and salaries ($2,000 + $0.35q)   4,520      4,930          -410    U

Shipping ($0.65q)                                     4,680        4,410           270    F

Utilities ($1,290)                                         1,290        1,100            190    F

Other ($460 + $0.01q)                                532         1,152          -620   U

Total expense                                         16,842      17,442          -600   U

Net operating income                          $13,398    $9,758       -3,640   U

Explanation:

Quilcene Oysteria 's budget comparison with actual performance shows that there is an unfavorable variance of $3,640 arising from the less than impressive sales revenue and excessive spending incurred during August.  The firm realized less revenue than budgeted and incurred more expenses than budgeted.  The result is this unfavorable variance of $3,640.

7 0
3 years ago
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