uppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution State Future Price Asset K Future Price Asset L 1 $55 $60 2 $45 $30 The current price of asset K is $50, and the current price of asset L is $50.

uppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution State Future Price Asset K Future Price Asset L 1 $55 $60 2 $45 $30 The current price of asset K is $50, and the current price of asset L is $50.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.2P

See similar textbooks

Similar questions

Suppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution State Future Price Asset K Future Price Asset L 1 $55 $60 2 $45 $30 The current price of asset K is $50, and the current price of asset L is $50. You plan to buy a home for $100,000 in the future. To guarantee that you will have the money, what would you buy/sell today to accomplish this, and what would it cost today?
Suppose that we can describe the world using two states and that two assets are available, asset K an asset L. We assume the asset’s future prices have the following distribution. (See attached table) The current price of asset K is $50, and the current price of asset L is $50. What is the price implied for an asset providing $100 in state 1 and $50 in state 2?
Suppose that we can describe the world using two states and that two assets are available, asset K and asset L. We assume the assets' future prices have the following distributions: State Future Prices Asset K Future Prices Asset L Kat state 1 = $25 Lat state 1 = $21 Kat state 2 = $20 Lat state 2 = $27 Let K(1) = $20 denote the time 0 price of asset K and L(1) = s19 the time 0 price of asset L. (a) Assuming no arbitrage opportunities, what are the values of the unit claims, at time 0? (b) What is the risk-free rate of return that must exist in this market?
2. Bart lives for two periods: young and old. He can supply labor when he's young, earning $1 per hour. His utility function is given by u (c1,l1, c2) = log c1 – 0l7 + B log c2 where c is consumption at period t, 1 is the labor supplied, ß = , € (0,1) is the time discount factor, and p is time preference. There is an asset market that individuals can save and borrow at interest rate (1+r). (a) Solve for the optimization problem (cj, cž, l4) of Bart. (b) Suppose that the government imposes capital and labor income taxes, TK and TL. Define the life-time budget constraint of Bart with taxes. (c) Solve for the optimization problem with taxes. Does your answer differ from part (a)? Explain.
Rodrigo is taking a year between high school and college to work and save up. His utility from consumption each year is U(c) = discounts future utility by B. Rodrigo is going to make $I his year of working, and whatever he doesn't consume from that income will a savings account which will earn return r before he consumes next year. He has to pay for school expenses E in year two, before he consumes (but after return has been realized). 1-o and he go into
QUESTION THREE A UPSA student decides to spend his income on any of these four items - pay tuition fees, pay hostel fees, buy foodstuffs, buy a laptop, and buy a gift for a friend. The market price and the student's expected monetary values or benefits placed on the items are, respectively, presented in the table below. Benefit GH¢ 1,410 1,380 1,480 1,510 1,450 Item Direct cost GH¢ Tuition Hostel 950 950 Food 950 Laptop Gift 950 950 A. Suppose the student has GH¢ 950.00 to spend on one of the five items. From your results in (A), i. Find the opportunity cost of each item. ii. Compute the net benefit of each item using the respective direct cost. iii. . Compute the net benefit of each item using the respective opportunity cost. iv. iv. From your results in (ii), which item should the student pay for? Explain your answer.
Suppose the cotton (a storable commodity) futures prices are currently Expiry Month Price c/lb December 2021 83 December 2022 96 (a) Is the cotton market in contango or in backwardation? (b) What is the slope of the futures curve for cotton? Draw a future curve graph to support your answer. (c) Are there positive returns to storage between Dec 21 and Dec 22? Draw a graph of supply and demand for storage to support your answer (where t=Dec 21 and t+1=Dec 22).
A person's utility function is given by U(x, y, z) = 7xyz, where x, y, z denote then number of units of three commodities X,Y, and Z that the person consumes. The pricesr per unit of X,Y, and Z are 5 euro, 1 euro, and 3 euro respectively. If ther person has a budget of 270 euro, the person's utility is maximised when they consume units of X, units of Y, and units of Z. The person's maximum utility is If the person's budget is increased to 271 euro, then using the method of lagrange multipliers we find that the maximum utility is approximately
Suppose the cotton (a storable commodity) futures prices are currently Expiry Month Price c/lb December 2021 83 December 2022 96 (a) Suppose an unexpected typhoon destroys cotton crops in India. This causes a downward revision in the expected global cotton production in 2022. Assuming all else equal, will demand for storage of cotton in 2021 (St) increase, decrease or stay the same? Draw a graph of the demand for storage to support your answer. (b) Using the same scenario from (a), do you expect the cotton market to still in contango, inverted, or could it be either contango or inverted? Draw a graph of supply and demand for storage to support your answer.
E) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P+ 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?
The following statement is correct based on the graph: Utility "201" "200" "80" "50" $10 $20 $90 $100 Total $ O The graph indicates the diminishing marginal utility of money Expected utility of certain $10> Expected utility of uncertain $10 All of them The graph implies that the utility difference between $10 and $20 is greater than between $90 and $100
a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? units of A units of B units of C units of D b. How many dollars will Ricardo choose to save? %24 c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule. +24 1 + $[ 1+ $_ + $ %24 00