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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

  1. 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?

  1. 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?

  1. 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.
    1. 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.

  1. 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

  1. Does either player have a dominant strategy? If yes, list it/them.

  1. Does either player have a strictly dominated strategy? If yes, list it/them.

  1. Does either player have a weakly dominated strategy? If yes, list it/them.

  1. List all pure strategy Nash equilibria of the above game?

  1. 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.

  1. 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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