![sustaitaj2022](/avatars/48668.jpg)
sustaitaj2022
12.02.2020 •
Mathematics
Traders of a stock on an exchange pay close attention to the tickets of a stock. On any given day, a stock can trade on an up-tick, even tick, or down-tick, if the trade price is higher, the same, or lower than the trade price the previous day. For a particular stock, traders have observed that the ticks are accurately modeled by a Markov chain. Following an even tick, the next trade is an even tick with probability 0.65, and up-tick with probability 0.2, or a down-tick with probability 0.15. After a down-tick, another down-tick has probability 0.3, while an even tick has probability 0.7. After an up-tick another up-tick occurs with probability 0.4, while an even tick occurs with probability 0.6.
a. Define the states, the transition matrix P and provide a graphical representation of the Markov chain.
b. Determine whether the states are transient or recurrent, find if there are any absorbent states, determine the period of each state and specify whether the chain is irreducible.
c. On the day you were hired for the stock exchange company the stock was equally likely to be an up-tick or a down-tick, and twice as likely to be trading on an even tick. Assuming you were hired on Monday, what is the probability that on Thursday of the same week the stock will be trading on down-tick?
d. Assume that you have to trade an equal number of stocks every day. On the down-tick day you lose $250, on the even tick you break even and on the up-tick you make a profit of $375. What is your average daily profit in the long term?
e. How often do you see the stock traded on a down-tick four days in a row?
Solved
Show answers
More tips
- F Food and Cooking How to Make Thin Pancakes: Recipe and Tips...
- S Style and Beauty Is Hot Scissor Haircutting Beneficial or Dangerous?...
- S Style and Beauty How to Get Rid of Under Eye Bruises?...
- F Food and Cooking Is Bacon Good for You?...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
Answers on questions: Mathematics
- M Mathematics the rectangle with 2 row nd each raw has 6 square each sudw of square is 1 cm determine the perimeter of rectangle and area of square...
- M Mathematics What is the answer for below...
- M Mathematics If f of x is equals to x + 3x - 9x - 27 draw the graph of the second derivative...
- M Mathematics Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables. a)How many more tables needed...
- M Mathematics Page 6) find the inverse of the following relationand present in ordered pairs and arrow dia:gram. Also find the domain and range of ita) (4,2) 14,-2) (1.1) (1,-1)...
- M Mathematics What hurt most in study???...
- M Mathematics Can you slve fasssst pls...
- M Mathematics James goes to a meeting that lasts 1 hour and 50 minutes. The clock shows the time the meeting ends. What time did the meeting begin?...
- M Mathematics Anyone will have time to do this for me pls?...
- M Mathematics the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of...
Ответ:
Degree of the polymonial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Step-by-step explanation:
I think the equation is 4m² – 3![m^{6}- 5m^{4}](/tpl/images/0665/8494/690d7.png)
Therefore, degree of the polynomial is the sum of the powers of the variables,
2 + 6 + 4 = 12
Hope this helps!