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Consider a stock that is priced at $200 today and a call option on that stock that gives you the right but not the obligation
- Consider a stock that is priced at $200 today and a call option on that stock that gives you the right but not the obligation to buy the stock at $225 in one year's time. There are only two scenarios: either an upside, on which the price rises to $300 or a downside that leads to a drop of $100. The risk-free interest rate (rf) is 8%. What is the value of this option?
- The value of a call option and a put option is influenced by the following variables:
- Underlying asset value
- Strike Price
- Variance of Underlying asset
- Time to Expiration
What effect would an increase in each of these variables have on the value of a call option and a put option?
- A "progressive" government is considering selling the right to develop a new toll road to interested private consortiums. The consortiums would have 1 year from the time of acquiring the right to develop the toll road until they must start development activities. Their estimates indicate that: (a) the total cost to develop the project is $100 million, (b) the expected value of the toll road's revenue is $75 million, and (c) the value of the toll road's revenue could be as high as $150 million but it could also be as low as $50 million.
- Approximate the value of the option using the risk-neutral approach; in other words, what price might the government ask for granting the development right? Assume rf= 5% and t = 1 yr.
- Refer to the payoff table below
| Cuddy | |||
X | Y | Z | ||
House | A | 80 , 30 | 0 , 20 | 20 ,20 |
B | 85 ,15 | 20 ,20 | 5 ,5 | |
C | 95 , 25 | 5 , 25 | 5 , 25 |
- Does either player have a dominant strategy? If yes, list it/them.
- Does either player have a strictly dominated strategy? If yes, list it/them.
- Does either player have a weakly dominated strategy? If yes, list it/them.
- List all pure strategy Nash equilibria of the above game?
- If Cuddy's payoffs in the top-left box (A,X) increased from 30 to 300, how would your answer to part c above change? Explain.
- Is the following statement true or false (explain your answer): In any strategic-form game, if a player has a dominant strategy, then all of the other strategies of that player are dominated.
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