1. Consider an elementary market model. Assume that there exist a stock and a cash bond...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Consider an elementary market model. Assume that there exist a stock and a cash bond in the model. The initial price of the stock is $50. The investor believes that with probability 1/3 the stock price will rise to $60 and with probability 2/3 the stock price will rise to $80 at the end of the time period. The cash bond has an initial price of $1 and it will with certainty deliver $7/5 at the end of the period. Does this model admit any arbitrage opportunities? Explain your answer. Use the replication principle and find a price of a digital call option with a maturity at the end of the time period and a strike price of $70. Interpret obtained values for I and p. Find the price using risk neutral valuation formula. Prove the equivalence of the two approaches. 1. Consider an elementary market model. Assume that there exist a stock and a cash bond in the model. The initial price of the stock is $50. The investor believes that with probability 1/3 the stock price will rise to $60 and with probability 2/3 the stock price will rise to $80 at the end of the time period. The cash bond has an initial price of $1 and it will with certainty deliver $7/5 at the end of the period. Does this model admit any arbitrage opportunities? Explain your answer. Use the replication principle and find a price of a digital call option with a maturity at the end of the time period and a strike price of $70. Interpret obtained values for I and p. Find the price using risk neutral valuation formula. Prove the equivalence of the two approaches.
Expert Answer:
Related Book For
Introduction to Managerial Accounting
ISBN: 978-0078025792
7th edition
Authors: Peter Brewer, Ray Garrison, Eric Noreen
Posted Date:
Students also viewed these finance questions
-
A manufacturer of fitness equipment is planning the introduction of two new products: a regular version with a manufacturer's suggested retail price of $239 per year, and a superior version with a...
-
A production process for filling orange juice containers labeled as 64 ounces is monitored for the actual amount of juice in the container. The process is designed such that the amount of juice in...
-
In Figure two identical containers of sugar are connected by a cord that passes over a frictionless pulley. The cord and pulley have negligible mass, each container and its sugar together have a mass...
-
The electron affinity of oxygen is -141kJ/mol, corresponding to the reaction O (g) + e- O- (g) The lattice energy of K2O(s) is 2238kJ/mol. Use these data along with data in Appendix C and Figure 7.9...
-
What is meant by the term operations management? What are the three areas of responsibility that decisions relating to operations management revolve around?
-
Consider the model proposed in Subrahmanyam [1575] and presented in Sect. 10.2. In the setting of Proposition 10.4, suppose that all the \(N\) informed traders are risk neutral, in the sense that \(a...
-
Identify the most appropriate approach and then design. Provide a rationale as to why this approach and design would be most appropriate. Develop a hypothetical research scenario that would...
-
Best Bathware Company manufactures faucets in a small manufacturing facility. The faucets are made from zinc. Manufacturing has 50 employees. Each employee presently provides 36 hours of labor per...
-
The number of admissions to all types of hospitals in a country between 1989 and 1996 can be described by the function A(t) = 35.283t2-1053.78t+40,539.967 thousand people where t is the number of...
-
Traditionally firms raise capital in the primary market issuing either fixed or floating rate debt. Both bond structures expose the firm to interest rate risk. The financial derivatives market...
-
A company is considering a project that would cost $7,500,000, which would be financed with the issue of new shares. The project is expected to increase net income by $1,500,000. Currently, the...
-
Do you think that Watson and Crick deserve all the credit for DNA's structure? Explain why or why not.
-
Suppose that a rectangular lot has a width of x+2 and a length of 4(x-1). Write the perimeter P as a function of x.
-
What is the accumulated value of 10 annual deposits of $1200 immediately after the 10th deposit, if j4 = 10%?
-
Can you elaborate on the concept of phenotypic integration, referring to the coordinated variation and functional relationships among multiple traits within an organism, and how does phenotypic...
-
There is a cost associated with raising money to finance capital projects (cost of capital). The main objective is to minimize the cost of capital. 1. What approach can be used to determine the...
-
A small deformation of a certain crystal is defined by the tensor: 8 -1 -1 [e] 160 x 10-6 -5 02 (a) Find the strain tensor [j] and the rotation tensor [w;;]. (b) Find the magnitudes and directions of...
-
Calculate the Lagrange polynomial P 2 (x) for the values (1.00) = 1.0000, (1.02) = 0.9888, (1.04) = 0.9784 of the gamma function [(24) in App. A3.1] and from it approximations of (1.01) and (1.03).
-
Why does activity-based costing appeal to some companies?
-
Rustafson Corporation is a diversified manufacturer of consumer goods. The company's activity-based costing system has the following seven activity cost pools: Required: 1. Compute the activity rate...
-
Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows: Direct material: 5...
-
Flaherty Ltd sells two types of shoes, mens shoes and womens shoes. During the financial year ended 30 June 2019, fixed costs were $460 800 and sales were in the ratio of three units (pairs) of mens...
-
Newbery and Newstead is a public accounting firm specialising in auditing local medium-sized businesses. Fees charged for each audit are determined on the basis of identifiable hours worked on an...
-
Hotbox Ltd produces pizza boxes using two processes cutting and packaging. The production budget for the year ending 30 June 2019 estimated raw materials use of $400 000, factory overhead of $270...
Study smarter with the SolutionInn App