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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

2 years ago

An example of _____ is causing panic selling by telling people that value in a neighborhood will decline due to the purchase of

WINSTONCH [101]

An example of blockbusting is causing panic selling by telling people that value in a neighborhood will decline due to the purchase of homes by minorities.

<h3>What is blockbusting?</h3>

blockbusting can be regarded as the act of profiteering through inducing property owners to sell hastily which do occur at a loss by appeals to fears of depressed values.

In this case, An example of blockbusting is causing panic selling by telling people that value in a neighborhood will decline due to the purchase of homes by minorities.

Learn more about blockbusting on:

brainly.com/question/24452126

#SPJ1

4 0

2 years ago

Priya Rahavy, M.D., is a general practitioner whose offices are located in the Lake Forest Professional Building. In the past, D

mariarad [96]

Priya Rahavy, M.D., is a general practitioner whose offices are located in the Lake Forest Professional Building. In the past, Dr. Rahavy has operated her practice with a nurse, a receptionist/secretary, and a part-time bookkeeper. Dr. Rahavy, like many small-town physicians, has billed her patients and their insurance companies from her own office. The part-time bookkeeper, who works 15 hours per week. is employed exclusively for this purpose.
North Avenue Physician's Service Center has offered to take over all of Dr. Rahavy's billings and collections for an annual fee of $24,000. If Dr. Rahavy accepts this offer, she will no longer need the bookkeeper. The bookkeeper's wages and fringe benefits amount to $20 per hour, and the bookkeeper works 50 weeks per year. With all the billings and collections done elsewhere, Dr. Rahavy will have three additional hours available per week to see patients. She sees an average Of four patients per hour at an average fee of $30 per visit. Dr. Rahavy's practice is expanding, and new patients often have to wait several weeks for an appointment. She has resisted expanding her office hours or working more than 50 weeks per year. Finally, if Dr. Rahavy signs on with the center, she will no longer need to rent a records storage facility for $200 per month.

a. Conduct a relevant cost analysis to determine if it is profitable to outsource the bookkeeping.

8 0

3 years ago

Find a current news article (within one week) related to business or technology. Your article can be from a newspaper, the

klasskru [66]

Answer:

Everyone has seen organizations and agencies make a case for their cause on the television, newspaper and radio. We have all heard stories about how a media consultant has helped improve a political candidate's image by cleverly manipulating the press. There are many ways you can use the media to the benefit of your cause. This section introduces you to working with the media.

WHAT ARE THE MEDIA AND MEDIA ADVOCACY?

Media, which is the plural form of 'medium', are the forms of communication – television and radio; newspapers, magazines, and written materials (or "print media"), and, more often now, the Internet – used to spread or transmit information from a source (which can be a person, an organization, a business, an institution, a government agency, a policy maker, or another media outlet) to the general public.

Advocacy means openly supporting a certain viewpoint or group of people. If you are an advocate for a specific cause, you work to persuade local, state, or federal governments or other entities to grant specific rights, make policy changes, provide money, or create new laws for the good of your cause. For example, if you have a child with a disability, you might advocate for the increased availability of medical services for handicapped children in your city.

Media advocacy is the use of any form of media to help promote an organization's or a company's objectives or goals, which come from the group's vision and mission. For example, suppose you’re a media advocate for a non-profit agency working to reduce gang violence in your neighborhood. You would try to present neighborhood issues related to gang violence and the changes you want to make in such a way that you:

Change the way community members look at gang violence. You might want to make it clear who it affects and why, or why kids get involved in gangs in the first place.

Create a reliable, consistent stream of publicity for your agency's issues and activities, including articles and news items about the causes and results of gang violence and about what your agency’s work entails; personal interest stories; success stories; interviews with agency staff and current and former gang members, etc..

Motivate community members and policy makers to get involved. You probably have ideas about what could be done with public funding, or with government policies that addressed gang violence. You might have volunteer opportunities, or want to publicize a city- or state-sponsored initiative that needs public input and support. Or perhaps you’re trying to raise money for your work. The media can help with all of these...if you know how to work with them.

Media advocates, or the people who work to attract publicity for organizations and causes, know that the media can get a public or social policy message across to the largest audience possible in the least amount of time.

As a media advocate, you can use the media to:

.

Explanation:

7 0

2 years ago

Today is your 20th birthday, and your parents just gave you $5,000 that you plan to use to open a stock brokerage account. You p

Alex Ar [27]

Answer:

You anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

Explanation:

To calculate this, we use the formula for calculating the future value (FV) and FV of ordinary annuity as appropriate as given below:

FVd = D * (1 + r)^n ......................................................................... (1)

FVo = P * {[(1 + r)^n - 1] ÷ r} ...................... (2)

Where,

FVd = Future value of initial deposit or balance amount as the case may be = ?

FVo = FV of ordinary annuity starting from a particular year = ?

D = Initial deposit = $5,000

P = Annual deposit =s $500

r = Average annual return = 12%, or 0.12

n = number years = to be determined as necessary

a) FV in five years from now

n = 5 for FVd

n = 4 for FVo

Substituting the values into equations (1) and (2), we have:

FVd = $5,000 * (1 + 0.12)^5 = $8,812

FVo = $500 * {[(1 + 0.12)^4 - 1] ÷ 0.12} = $2,390

FV5 = Total FV five years from now = $8,812 + $2,390 = $11,201

FVB5 = Balance after $5,000 withdrawal in year 5 = $11,201 - $5,000 = $6,201.

b) FV in 10 years from now

n = 10 - 5 = 5 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB5 = $6,201 * (1 + 0.12)^5 = $10,928

FVo = $500 * {[(1 + 0.12)^5 - 1] ÷ 0.12} = $3,176

FV10 = Total FV 10 years from now = $10,928 + $3,176 = $14,104

FVB10 = Balance after $10,000 withdrawal in year 10 = $14,104 - $10,000 = $4,104

c) FV in 45 years from now

n = 45 - 10 = 35 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB10 = $4,104 * (1 + 0.12)^35 = $216,690

FVo = $500 * {[(1 + 0.12)^35 - 1] ÷ 0.12} = $215,832

FV45 = Total FV 45 years from now = $216,690 + $215,832 = $432,522

Conclusion

Therefore, you anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

5 0

3 years ago