Tyler buys a futures contract from Alex that gives him the right to buy 1,000 barrels of oil at $125 per barrel in 48 months. What happens in 48 months if the actual price per barrel of oil is $100? A.) Tyler must pay Alex $25,000. B.) Tyler makes a profit of $25 per barrel, or $25,000. C.) The contract becomes void because the price turned out lower than expected. D.) Alex must give Tyler $10,000.

For a given option portfolio, you are long vega (value increases as volatility goes up), and short theta (as time passes your options portfolio loses money). Are you net long or short options?     Net long, because as volatility  goes up and it increases in value and as time passes you lose value.     Net short, because as volatility  goes up and it decreases in value and as time passes you increase value.     not consistent you are long one and short the other, so can't tell     completely independent derivatives, its apples and oranges and no reflection on your portfolio

Micro chapter 8

You are a coin trader. You have $1,000,000, and today one coin costs $2000. Tomorrow the coin will either cost $1000 or $4000, each with equal probability. Assume the prices are constant all day and change instantly at midnight. For each of the following, give a strategy and why it’s correct: (a) If you want to maximize the expected amount of money you have tomorrow, what should you do? (b) If you want to maximize the expected number of coins you have tomorrow, what should you do?

35. Your current disposable income is $10,000. There is a 10% chance you will get in a serious car accident, incurring damage of $1,900. (There is a 90% chance that nothing will happen.) Your utility function is U = √√T, where I is income. If this policy is priced at $40, what is the change in your expected utility if you purchase the policy rather than no insurance? b) 0.8 c) 0.2 d) 0

You see an advertisement for a used car. The owner has not set a price but asks for people to make him an offer. You inspect the car and believe that the true value is equally likely to be anywhere in the range of $1,000 to $9,000 (so your calculation of the average of this value is $5,000). The current owner knows the exact true value, and he will for sure accept your offer if it is higher than the true value (but not if it is lower than that value). If your offer is accepted and you get the car, then you will find out the true value. But you know in advance that your amazing car repair skills can increase the value of the car by 25% of whatever its true value is. What is your expected profit if you offer $5,000? Round your answer to the nearest dollar (e.g. 500). If you expect to make a loss, add a minus sign (e.g. -500, please do not include space between minus sign and the number if the answer is negative). Note:- Do not provide handwritten solution. Maintain accuracy and quality…

3) Consider the following two gambles: Option A: you win $50 with probability 0.75 and lose $100 with probability 0.25. Option B: You win $100 with probability 0.25 and lose $50 with probability 0.75. Which option is preferred according to expected utility if i) You use an exponential utility function with R=5 ii) You use an exponential utility function with R=10 iii) You use an exponential utility function with R=100 iv) You use an exponential utility function with R=1000 v) You use an exponential utility function with R=10,000

A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For $3 bet on hitting a 9, if he or she succeeds, the gambler wins $16 plus return of the $3 bet. What is the expected value of this gambling game? (Present your answer in dollars with 2 decimal places but without $ sign)

17. Suppose a risk-neutral power plant needs 10,000 tons of coal for its operations next month. It is uncertain about the future price of coal. Today it sells for $60 a ton but next month it could be $50 or $70 (with equal probability). How much would the power plant be willing to pay today for an option to buy a ton of coal next month at today's price? (Ignore discounting over the short period of a month.) а. 5 b. 4 с. 3 d. NOTE: I KNOW THAT THE ANSWER IS (A), BUT PLEASE INCLUDE ALL THE STEPS HOW TO SOLVE THE PROBLEM BECAUSE I NEED TO PRACTICE. THANK YOU.

2. Alice believes that her car would cost £12500 to replace if it was stolen or damaged. Based on crime statistics for the area she lives in, she believes that the probability of her car being stolen or damaged is 0.15. (i) Alice's utility function is given by U(w) = ln(w) for w > 0 and she as £35000 in the bank. Calculate how much Alice would be prepared to pay (in a single payment) to insure her car against theft or damage (ii) Repeat the calculation in the previous part but now assume Alice has £500000 in the bank.