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dexar [7]
3 years ago
8

The price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29,

and a dividend of $0.50 is expected in two months and again in five months. Risk-free interest rates for all maturities are 10%. What is the price of a European put option that expires in six months and has a strike price of $30?
Business
1 answer:
erica [24]3 years ago
8 0

Answer:

The price of put option is $2.51

Explanation:

The relation between the European Put option and Call option is called the Put-Call parity. Put-Call parity will be employed to solve the question

According to Put-Call parity, P = c - Sо + Ke^(-n) + D. Where P=Put Option price, C=Value of one European call option share. Sо = Underlying stock price,  D=Dividend, r=risk free rate, t = maturity period

Value of one European call option share = $2

Underlying stock price = $29

Dividend = $0.50

Risk free rate = 10%

Maturity period = 6 month & 2 month, 5 month when expecting dividend

P = c - Sо + Ke^(-n) + D

P = $2 - $29 + [$30 * e^[-0.10*(6/12)] + [$0.50*e^(-0.10*(2/12) + $0.50*e^(-0.10*(5/12)]

P = $2 - $29+($30*0.951229) + ($0.50*0.983471 + $0.50*0.959189)

P = -$27 + $28.5369 + $0.4917 + $0.4796

P = $2.5082

P = $2.51

Therefore, the price of put option is $2.51

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6 0
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Care Clinic is preparing a worksheet for their staff. Their average starting salary is $60,000. Benefits are 25% this year. They
pshichka [43]

Answer:

$1,600,200

Explanation:

The total staff expense can be calculated by using the following formula:

Total Staff Expense = (Salary For coming year with increment (STEP1)       +     Benefits In-Kind)  * Total Employees

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By putting values, we have:

Total Staff Expense = ($63,000 + $17,010) * 20 Employees

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Salary for Coming Year with Increment = Average Salary Now * (1 + Increment)

Here

Average Salary is $60,000

Increment is 5%

Salary for Coming Year with Increment = $60,000 *(1 + 5%) = $63,000

EXCEL Formatted Spreadsheet For Care Clinic

                                  Increment       Avg.        BIK     T. Employees  Total

                                              5%          Salary    at 27%        

Total Salary       60000     105%     63000 -            20               1,260,000

Benefits In-Kind 60000      105%     63000 27%            20     <u>    340200</u>

                                                                                                             <u>1,600,200</u>

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Answer:

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