-
+1 - 312-224-1615
Get in touch with us
-
support@helpwithassignment.com
Send us an e-mail
Solution Library
Calculation of Probability of Increase in Stock Price of a company
Question
Today (time t = 0) the stock price of company XYZ is S = 70. In 6 months (time t = 0:5) it changes (under the true probability measure P) with probability of 70% to S(u)0.5 = 90 and with probability 30% to S(d)0.5 = 60. From time t = 0:5 to time t = 1 the stock price may increase by 30% with a probability of 50% or decrease by 20% with a probability of 50%. The risk free interest rate is constant and equal to 5% (c.c.).
(a) Draw a tree.
(b) Use replicating portfolios to calculate the price of a European at-the-money call option with 1 year left to maturity.
(c) What is the price of an American at-the-money call option with 1 year left to maturity?
(d) Suppose you own 10 stocks of company XYZ. At time t = 0, how many long or short positions do you have to take in European at-the-money call options with 1 year to maturity if you like to hedge your entire exposure to stock price fluctuations?
Summary
The question belongs to Statistics and it is about calculation of probability of increase in stock price of a company. By using American and European at the money call options have been calculated. These and other calculations about the stock prices of the company have been calculated.
Total Word Count NA
Download Full Solution
WHAT OUR STUDENTS SAY
Nuclear chemistry problems were turning into the bane of my life and i was just not able to get my head around the subject. But with the help of the nuclear chemistry assignment experts at HwA helped me understand the topics better than most of the other online assignment help services that i had used previously. It is affordable and the quality of assignment writing is definitely worth every cent I paid.
Brendan Schulte Student
I always wished to be a tax attorney and my dream has come true with the assistance of HwA. After completing my graduation in law I pursued a master degree on taxation. However, I faced severe problems while dealing with the numerical given as assignments. Then one of my friends suggested about this website and I got wonderful response.
Katherine Jones Student
I wanted to do a dissertation on consumer behavior but was confused on how to identify a topic and write a report. The dissertation advisors here at TheReliableTutor had an online live session with me and after understanding my requirements they came up with three suggested Research Proposal Writing topics.
Eric Gomes Student
I had no idea about optimal design for separating units till I came across the team of HwA. Their team of distillation assignment experts helped me through the course by letting me get excellent grades in all of my assignments.
Alan Watts Student
I must say that the random variable assignment experts here in HwA can surely make the numbers talk. I was given a sheet of data to analyze and honestly I had no clue whatsoever on how to approach. When I came to them they explained me the concept of discrete random variables (as the data was of an outcome of random test on some microorganism) and helped me analyze the same. My teacher at college was very impressed and since then I take help from HwA.
Jessie Maddox Student
Comments
this is a very good website
I have 50 questions for the same test your page is showing only 28
hi can you please help or guide me to answer my assignments. thanks
hi can anyone help or guide me to my assignments. thanks
This solution is perfect ...thanks
Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes
Perfect bank of solution.
great !
thanks for the quick response. the solution looks good. :)
thnx for the answer. it was perfect. just the way i wanted it.
works fine.