Can you find a three equation system with 4 states

Assignment Help Finance Basics
Reference no: EM131107913

Consider a stock St and a plain vanilla, at-the-money, put option written on this stock. The option expires at time t + Δ, where Δ denotes a small interval. At time t, there are only two possible ways the St can move. It can either go up to Sut+Δ, of go down to Sut+Δ. Also available to traders is risk-free borrowing and lending at annual rate r.

(a) Using the arbitrage theorem, write down a three-equation system with two states that gives the arbitrage-free values of Sr and Ct.

(b) Now plot a two-step binomial tree for St. suppose at every node of the tree the markets are arbitrage-free. How many three-equation systems similar to the preceding case could then be written for entire tree?

(c) Can you find a three-equation system with 4 states that corresponds to the same tree?

(d) How do we know that all the implied state prices are internally consistent?

Reference no: EM131107913

Questions Cloud

In preparation for a visit with their insurance agent : Wendy and Frank Kampe, 30 and 35, are considering the purchase of life insurance. Wendy doesnAc€?ct have any coverage whereas Frank has a $150,000 group policy at work. The Kampes have two young children, ages 3 and 5.
What programs are available to help the local business : What does the emergency manager have to tell the local business community about a business continuity plan? What programs are available to help the local business in this endeavor? Give examples.
Classify goods by category-private-public-common-monopoly : Classify the following goods by category (private, public, common, monopoly) and explain why:
Always quoted on an annual basis unless otherwise specified : Suppose the spot rates for 1 and 2 years are s1=6.3% and s2=6.9% with annual compounding. Recall that in this course interest rates are always quoted on an annual basis unless otherwise specified. What is the discount rate d(0,2)?
Can you find a three equation system with 4 states : Using the arbitrage theorem, write down a three-equation system with two states that gives the arbitrage-free values of Sr and Ct. Now plot a two-step binomial tree for St. suppose at every node of the tree the markets are arbitrage-free. How many th..
Account deficit to grow while budget deficit has disappeared : Is the budget deficit of a country linked to its current account balance? If so, how so? If not, why not? Explain how it is possible for the United States’ current account deficit to grow while the budget deficit has disappeared.
Trading for twelve years and during this period : Beta plc has been trading for twelve years and during this period has achieved a good profit record. To date, the company has not been listed on a recognised stock exchange.
Interest rate in the months : Explain the dilemma faced by the Fed in May 2008. Why might the Fed decide to cut the interest rate in the months after May 2008? Why might the Fed decide to raise the interest rate in the months after May 2008?
Explain a detailed value chain for the product : List the different types of promotion, provide pros and cons of each type, and provide an example of each type. Select a product and draw and explain a detailed value chain for the product.

Reviews

Write a Review

Finance Basics Questions & Answers

  Computing the firm''s price-earnings ratio

Computing the firm's price-earnings ratio and the company has 312,490 shares outstanding

  The following information was taken from straub companys

the following information was taken from straub companys balance sheetfixed assets net700000long-term

  Calculate the degree of operating and combined leverage

An analytical income statement for Detroit Heat Treating is given below. It is based on an output (sales) level of 40,000 units.

  Calculate profits and return on invested capital

He enters into a contract to purchase copper at $3.50 per pound. Six months later, the value of copper is $3.70 per pound. Patrick invested $5,000. Calculate his profits and return on invested capital.

  Describe workings of any home buyer assistance schemes

Advise what procedure is involved and the associated costs to obtain a copy of your own file from each of these agencies on both an urgent and a non urgent basis and can a free copy be obtained - What are the Lender's legal obligations if they decl..

  Components of gross national product

What are the components of Gross National Product (GNP)? How does it understate aggregate production in Third World countries where substantial economic production may be consumed directly and thus not reach markets where it can be measured?

  What is the net present value of the new equipment

A firm is considering the purchase of equipment which will cost $3 million. This equipment will last for 10 years, at the end of which it can be sold for $800,000. The CCA rate for this asset class is 30%, and the firm expects to have other assets in..

  What is the effective annual rate on a six-month loan

How much must you borrow in order to obtain $250,000 in usable funds? Assume you currently do not have any funds on deposit at the bank. What is the effective annual rate on a six-month loan?

  How many shares can it repurchase

The company has no debt now and has 1 million outstanding shares.Now it wants to issue $40 million riskless debts to repurchase shares with the value of $40 million.How many shares can it repurchase?

  What is uks inflation rate if equilibrium relationships hold

What is the U.K.'s inflation rate if the equilibrium relationships hold? What is the U.K.'s nominal required return on risk-free government securi- ties?

  What are the percentage changes in value when the yield goes

Given a five-year, 8% coupon bond with a face value of $1,000 and coupon payments made annually, determine its values given it is trading at the following yields: 8%, 6%, and 10%.

  Entrepreneurs are individuals and companies

Entrepreneurs are individuals and companies that create futures

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd