• Is arbitrage good or bad? Justify. • What are some problems with the Black-Scholes-Merton model? • Suggest some improvements of the Black-Scholes-Merton model. • In the class, we have derived the Black-Scholes-Merton formula for European options. Is is possible to derive something similar for American options?
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This is an open ended question and you need to do some research to get the answers:
- Is arbitrage good or bad? Justify.
- What are some problems with the Black-Scholes-Merton model?
- Suggest some improvements of the Black-Scholes-Merton model.
- In the class, we have derived the Black-Scholes-Merton formula for European options. Is is possible to derive something similar for American options?
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- Which of the following statements is FALSE? A. You invest today only when the NPV of investing today exceeds the value of the option of waiting, which from option pricing theory we know to be always positive. B. When you do not have the option to wait, it is optimal to invest in any positive−NPV project. C. One way to see why you sometimes choose not to invest in a positive−NPV project is to think about the decision of when to invest as a choice between two mutually exclusive projects: (1) invest today or (2) wait. D. When you have the option of deciding when to invest, it is usually optimal to invest only when the NPV is positive but close to zero.Define Weak, Semi-Strong and Strong forms of the Efficient Market Hypothesis (EMH). a. How would you construct a test of the Weak form of the EMH? b. What have researchers found when testing the Weak form of the EMH? c. Outline how you would conduct an event study. What efficient market hypothesis are you trying to test? d. Give an example where researchers have used an event study and what did they find? Was it consistent with the EMH?Define Weak, Semi-Strong and Strong forms of the Efficient Market Hypothesis (EMH). Please answer C and D!!!!! a. How would you construct a test of the Weak form of the EMH? b. What have researchers found when testing the Weak form of the EMH? c. Outline how you would conduct an event study. What efficient market hypothesis are you trying to test? d. Give an example where researchers have used an event study and what did they find? Was it consistent with the EMH?
- Can borrowers and lenders that perfectly agree on maximizing expected returns might still disagree on the choice of the project? Is the solution to this state true, false, or uncertain? Explain your answer.Which of the following will NOT increase the value of a real (call) option? Group of answer choices: A decrease in the probability that a competitor will enter the market of the project in question. An increase in the risk-free rate A decrease in the cost of obtaining the real option Lengthening the time in which a real option must be exercised. A decrease in the volatility of the underlying source of risk.In a few sentences, answer the following question as completely as you can. According to your textbook, “an investment should be accepted if the net present value is positive and rejected if it is negative” (p. 239). What does an NPV of zero mean?If you were a financial decision maker facing a project with NPV of zero (or close to zero) what would you do? Can you think of any other factors that might influence your decision?
- Why must real options have positive value? (Select all the choices that apply.) A. Having the real option but not the obligation to act is valuable. B. Real options must have positive value because they can always be sold to recover the initial investment. C. Real options must have positive value because they are only exercised when doing so would increase the value of the investment. D. If exercising the real option would reduce value, managers can allow the option to go unexercised.Compare and contrast the concepts and investment implications of efficient market hypothesis(EMH), inefficient markets, and efficiently inefficient markets.What happens if we wish to increase a constraint RHS value beyond the allowable increase/decrease shown in your sensitivity analysis? a.no effect on the optimal solution b.the problem should be solved again to find the new optimal solution c.there will no longer be a feasible solution for the problem. d.we can still use the dual price of the original problem to get the new optimal objective function value.
- 11. Which one of the following statements is most CORRECT? a. Real options change the risk, but not the size, of projects' expected NPVs. b. Very few projects have real options. They are theoretically interesting but of little practical importance. c. Real options are more valuable when there is very little uncertainty about the true values of future sales and costs. d. Real options change the size, but not the risk, of projects' expected NPVs. e. Real options can reduce the cost of capital that should be used to discount a project's expected cash flows.Which of the following is an example of a way in which companies can create value by exploiting real options? A.Exercising in-the-money real options immediately B.Optimally delaying or abadoning projects C.Abandoning good projects in favor of newer projects D.Acting quickly to take on the new projects even if there is no cost to waitWhat impact does each of the followingparameters have on the value of a call option?(4) Risk-free rate