Suppose there are three equally likely states of nature: expansion (E), normal (N) and recession (R)....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose there are three equally likely states of nature: expansion (E), normal (N) and recession (R). You have information about two assets (A and B) whose prices and payoffs as a function of the states of nature are given by the following table: Asset Price Expansion (1/3) 2 0 A 1 1 State Normal (1/3) 1 1 Recession (1/3) 0 2 (a) Find the set of stochastic discount factors (sdfs) for this economy. (10 marks) (b) Define when a payoff space and asset prices leave no arbitrage. Show that a positive sdf implies no arbitrage. (10 marks) (c) Find the subset of sdfs that imply no arbitrage. (10 marks) (d) Find the price of a bond that pays 1 in every state. (10 marks) (e) What is the range of prices for a European call option on asset A with strike price equal to 1 in the absence of arbitrage? (10 marks) Suppose there are three equally likely states of nature: expansion (E), normal (N) and recession (R). You have information about two assets (A and B) whose prices and payoffs as a function of the states of nature are given by the following table: Asset Price Expansion (1/3) 2 0 A 1 1 State Normal (1/3) 1 1 Recession (1/3) 0 2 (a) Find the set of stochastic discount factors (sdfs) for this economy. (10 marks) (b) Define when a payoff space and asset prices leave no arbitrage. Show that a positive sdf implies no arbitrage. (10 marks) (c) Find the subset of sdfs that imply no arbitrage. (10 marks) (d) Find the price of a bond that pays 1 in every state. (10 marks) (e) What is the range of prices for a European call option on asset A with strike price equal to 1 in the absence of arbitrage? (10 marks)
Expert Answer:
Answer rating: 100% (QA)
a To find the set of stochastic discount factors SDFs for this economy we need to solve for the values of E N and R that satisfy the following equatio... View the full answer
Related Book For
Financial Theory and Corporate Policy
ISBN: 978-0321127211
4th edition
Authors: Thomas E. Copeland, J. Fred Weston, Kuldeep Shastri
Posted Date:
Students also viewed these finance questions
-
13. What is a lower bound for the price of 3-month call option on a non- dividend-paying stock when the stock price is $50, the strike price is $45, and the 3-month risk-free interest rate is 8%?...
-
Consider again examples 9.2 and 9.3 , and once again assume that there are two states of the world for each random variable, denoted by V L j , V H j and n L , n H . Denote the probabilities for...
-
Maher AG reported income before income tax during 2019 of 790,000. Additional transactions occurring in 2019 but not considered in the 790,000 are as follows. 1. The company experienced an uninsured...
-
Enviro Company issues 8%, 10-year bonds with a par value of $ 250,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 10%, which implies a selling price...
-
What roles might more recent analysis activities, such as data mining, predictive statistical analyses, and operational experiments, play in increasing organizational effectiveness?
-
The Green Company produces chemicals in a perfectly competitive market. The current market price is $40; the firms total cost is C = 100 + 4Q + Q2. a. Determine the firms profit-maximizing output....
-
How do Calculate the total cost of ownership per unit and Supplier Performance Index of Kong Pulp & Paper Mills (KPPM), and Bonn Paper Company (BPC) for the two following options: (i)Standard...
-
All Mopped Up Company has journalized the adjusting entries for the period ending December 31, 2018, and posted the adjustments to the following T-accounts. (Click the icon to view the T-accounts.)...
-
A retail investor has placed US$10,000 on deposit at a rate of 2.5% net. What would the gross amount of interest be, assuming that 20% tax has been deducted at source?
-
1). With reference to the economy of country X the level of I is $755 million, G is $1100 million and T is $100 million. Assume that this is a closed economy with an MPC of 0.85 and autonomous...
-
Some consulting work for a communications firm in Thailand. You will be paid B468,187 (Thai Baht) seven months from now when the work is done. To hedge against an unfavorable exchange rate when you...
-
Intuit's accounting solution for small businesses, startups, freelance bookkeepers, and independent accounting firms. Offering robust tools for expense tracking, tax calculation, invoice management,...
-
Describe the field and what information goes in the labeled sections: . 1. Name - 2. Category - 3. Initial quantity on hand - 4. As of Date - 5. Reorder Point - 6. Inventory Asset account 7....
-
Terry has a costume shop in a commercial building. He has a one-year lease that automatically renews for another year unless either Terry or the landlord terminates. What type of leasehold estate is...
-
A You need to consider that you are working in a team with two to four people (minimum three including yourself). Your task is to identify, establish and document your team s purpose, roles,...
-
1. Use these cost, revenue, and probability estimates along with the decision tree to identify the best decision strategy for Trendy's Pies. 2. Suppose that Trendy is concerned about her probability...
-
A not-for-profit organization, such as a ballet company or a museum, usually carries no debt. Also, since there are no shareholders, there is no equity outstanding. How would you go about determining...
-
Two companies are developing a 50-50joint venture with an NPV of $25 million. The annual volatility of the venture is 20% and its WACC is 12%. The risk-free rate is 5%. One of the companies wants to...
-
For the data in Table Q6.4 (page 190), perform the indicated calculations. Table Q6.4 S&P Percentage 500 Change Dividend Percentage Return Market Variance Year Index in Price Yield Return Deviation...
-
Yamindi was raised on a farm in the Northern Territory and loves animals. When he finished secondary school, Yamindi had nearly \($5000\) in a savings account. He used his savings to start a business...
-
\({ }^{235} \mathrm{U}\) decays to \({ }^{207} \mathrm{~Pb}\) via the decay series shown in Figure 30.15. The first decay in the chain, that of \({ }^{235} \mathrm{U}\), has a half-life of \(7.0...
-
A firecracker explodes on the ground in front of Martin just as Lisa passes by at 0.5c. 30 ,s later, according to Martin, a second firecracker explodes in front of him. Using what you've learned from...
Study smarter with the SolutionInn App