Use the following information to answer questions (12-13) Suppose that the probability that the train travelling...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Use the following information to answer questions (12-13) Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Illinois arrives on time is 0.80. For the questions that follow, consider a sample of twenty randomly selected train trips. Question 12: [Objective: Calculate the mean and standard deviation using the binomial model] Approximately how many trips would you expect to arrive on time out of twenty randomly selected trips, give or take how many trips? Round to the nearest whole trip. Question 13: [Objective: Calculate probabilities using the binomial model] What is the probability that exactly fifteen trips out of twenty will arrive in Chicago on time? Round to the nearest thousandth. 1. Let's build a binomial model for the stock of ABC Company. It has an expected return of 10% per year, an estimated return volatility of 20% per year, and a skewness of 0 per year. The risk-free rate is 6% per year. ABC stock has a current price of $100 and has declared dividends of $13 to be paid at the end of each year. a. Use the expected return, volatility, and skewness values to find the binomial up-state and down-state returns, and the probability of the up-state return. b. Construct a binomial model for the stock price of ABC with 2 annual periods. c. Find the value of a European call option expiring in 2 years with a strike price of $110 using the binomial model. d. Construct a tracking portfolio (at the current time t = 0) using ABC stock and the risk-free as- set to replicate the above call option based on the binomial model. e. Find the value of a European put option expiring in 2 years with a strike price of $110 using the binomial model. f. Find the value of an American call option expiring in 2 years with a strike price of $110 using the binomial model. g. Find the value of an American put option expiring in 2 years with a strike price of $110 using the binomial model. Use the following information to answer questions (12-13) Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Illinois arrives on time is 0.80. For the questions that follow, consider a sample of twenty randomly selected train trips. Question 12: [Objective: Calculate the mean and standard deviation using the binomial model] Approximately how many trips would you expect to arrive on time out of twenty randomly selected trips, give or take how many trips? Round to the nearest whole trip. Question 13: [Objective: Calculate probabilities using the binomial model] What is the probability that exactly fifteen trips out of twenty will arrive in Chicago on time? Round to the nearest thousandth. 1. Let's build a binomial model for the stock of ABC Company. It has an expected return of 10% per year, an estimated return volatility of 20% per year, and a skewness of 0 per year. The risk-free rate is 6% per year. ABC stock has a current price of $100 and has declared dividends of $13 to be paid at the end of each year. a. Use the expected return, volatility, and skewness values to find the binomial up-state and down-state returns, and the probability of the up-state return. b. Construct a binomial model for the stock price of ABC with 2 annual periods. c. Find the value of a European call option expiring in 2 years with a strike price of $110 using the binomial model. d. Construct a tracking portfolio (at the current time t = 0) using ABC stock and the risk-free as- set to replicate the above call option based on the binomial model. e. Find the value of a European put option expiring in 2 years with a strike price of $110 using the binomial model. f. Find the value of an American call option expiring in 2 years with a strike price of $110 using the binomial model. g. Find the value of an American put option expiring in 2 years with a strike price of $110 using the binomial model.
Expert Answer:
Posted Date:
Students also viewed these finance questions
-
In Exercises, analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. f(x)=x16 - x
-
Explain what is meant by market efficiency. What are the characteristics of an efficient market?
-
Before glass electrodes and pH meters became widely used, pH was often determined by measuring the concentration of the acid and base forms of the indicator colorimetrically. If bromothymol blue is...
-
Which component of the rate of return on investment (profit margin or investment turnover) focuses on efficiency in the use of assets and indicates the rate at which sales are generated for each...
-
Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator who chooses the best proposal (effectively giving one side or the other $1 million)....
-
How did the company react to these negative impacts?Examine the negative impacts of the Asian crisis on the company's financial position from the viewpoints of investment, operational and translation...
-
Read the following article entitled, World Faces Shortage in Purpose Well-Being, which reports data from the Gallup-Healthways Global Well-Being Index. Briefly describe the sample and how it was...
-
West Company is a print shop that produces jobs to customer specifications. During January, Job #3051 was worked on and the following information is available: Direct material used $2,500 Direct...
-
What is the purpose of learning the time value of money mathematics? What are the factors that affect the components of interest rates?
-
1. Consider cash collection items. How can a firm minimize this time and what are some of the costs? Do we worry about this as individuals as well? If so, how? 2. How can capital structure decisions...
-
A hydraulic system exerts a pressure of 50 psi on a cylinder. If the desired output force is 250 lbs, what diameter is required for the cylinder? (Round your answer to the nearest 1/8.)
-
What are the implications of transformational leadership on employee motivation, organizational culture, and performance outcomes ?
-
Read the case study below and answer the following questions. Title : Joses Authentic Mexican Restaurant Two bean tacos, a chicken burrito grande, and a side order of Spanish rice, please. Ivan...
-
Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = e x2 cos x
-
When price is greater than average total costs, the monopolistic competitive firm will make an economic _________.
-
Long-run equilibrium in a monopolistic competitive industry occurs when the firm experiences _________ economic profits or losses, which eliminates incentive for firms to _________ or _________ the...
-
In monopolistic competition the tendency is toward too _________ firms in the industry. Monopolistically competitive industries will not reach _________ efficiency because firms in the industry do...
Study smarter with the SolutionInn App