This is economics question.

A bank has written a call option on one stock and a put option on another stock. For the first option the stock price is 50, the

iris [78.8K]

Answer:

10-Day 99% VaR = 3.61

Explanation:

Data Given:

For First Option:

Stock Price = 50

Strike Price = 51

Volatility = 28% per annum

Time to maturity = 9 months

For Second Option:

Stock Price = 20

Strike Price = 19

Volatility = 25% per annum

Time to maturity = 12 months or 1 year

Risk Free Rate = 6% per annum

Correlation = 0.4

Find 10-day 99% VaR.

Solution:

First of all we need to refer the DerivaGem Model to dig out the change in price equation for both the options.

So, according to DerivaGem Model, We have following data:

For First Option:

Value = -5.413

Delta Value = -0.589

For Second Option:

Value = -1.014

Delta = -0.284

Change in Price = (Delta value of First Option x Stock Price)Y1 + (Delta value of the second option x Stock Price)Y2

Change in Price = (-0.589 x 50)Y1 + (-0.284 x 20)Y2

So, We will get the Change in Price Linear Equation for both the options.

Change in Price = -29.45Y1 -5.68Y2

Now, we have to calculate the Daily Volatility Percentage.

Formula:

Daily Volatility Percentage = Volatility/ Square root of number of days active in annum

Number of Days Active = 252

Volatility for First Option = 28%

Volatility for Second Option = 25%

Daily Volatility Percentage for First Option = 28%/ $\sqrt{252}$

Daily Volatility Percentage for First Option = 0.0176

Similarly,

Daily Volatility Percentage for Second Option = 25%/ $\sqrt{252}$

Daily Volatility Percentage for Second Option = 0.0157

Now, utilizing the above calculated data, we can find the one-day variance of change in price.

1-Day Variance = $(29.45^{2} *0.0176^{2}) + (5.68^{2} * 0.0157^{2}) - (2 * 29.45 * 0.0176 * 5.68 * 0.0157 * 0.4)$

Solving the above equation:

We get:

1-Day Variance = 0.2396

Now, we have to find the standard deviation of 1-Day Variance:

SD of 1-Day Variance = $\sqrt{0.2396}$

SD of 1-Day Variance = 0.4895

So,

Now, in order to find the value of one day 99% VaR from the table, we have all the prerequisites.

So,

Value of One day 99% VaR from table = 2.33

But we need 10-Day 99% VaR.

So, number of days = 10

Hence,

10-Day 99% VaR = $0.4895 * 2.33 * \sqrt{10}$

10-Day 99% VaR = 3.61

8 0

3 years ago

1. What is business? Explain its characteristics.

jek_recluse [69]

Answer:

Business is an organization where goods and services are exchanged for one another or for money to make a profit, every business needs some form of investment and enough customers to sell product to.

the major characteristics are:

1. Exchange of goods and services

2. Deals in numerous transactions

3. Profit is the main objective

4. Business skills for economic success

5. risks and uncertainties

6. marketing and Distribution of goods

7. Sale to satisfy human wants

Explanation:

8 0

3 years ago

What is the objective of the last step in the ethical decision-making framework? Multiple Choice to brainstorm any alternative c

I am Lyosha [343]

Answer:

B. To weigh the various alternatives and choose a course of action

Explanation:

The major steps involved in a proper decision-making process include; Identifying the problem, understanding the problem by obtaining the necessary information, developing alternatives, choosing the best alternative that would address the ethical issue at hand, and implementing the best alternative.

The aim of the entire process of decision-making would be faulted if at the end, a course of action is not taken. The decision made at the end of the day, should address the initial concern raised. This decision would also need to be reviewed to ensure that it is the right step.

Determining ways to maximize profit for the company may not be the issue at hand, as several factors could inform the decision making process.

5 0

3 years ago

you want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in

Solnce55 [7]

It will take 2 years because eaxh year you get 4% of the $2500 which means $100 a year

6 0

3 years ago

A project team that operates with a full-time project manager as a separate unit from the rest of the organization is structured

Dennis_Churaev [7]

A project team that operates with a full-time project manager as a separate unit from the rest of the organization is structured as a ________ organization.

A. Functional

B. Balanced matrix

C. Weak matrix

D. Strong matrix

E. Project

A project team that operates with a full-time project manager as a separate unit from the rest of the organization is structured using Project organization.

Answer: Option E

Explanation:

Projectized or Project organization as the name suggests, focus on the projects and various process related to those projects. Project organization is different from the rest of the organizations in a sense that it works as a separate unit.

In this type of organizational structure the project manager is on the top and he is the sole decision maker regarding all the projects. The rest of the team members report to the project manager, whereas the roles and responsibilities are divided amongst the members.

4 0

3 years ago