An investment is valued approximately by the function f (t) = 50, 000e0:2v If the annual discount rate is 5%, when would the present value of this investment be maximized? What is this optimal present value of the investment? What is the initial value of the investment at the zero moment? Use a second-order condition to prove that the present value is, indeed, maximized.
Q: Amy is figuring out her budget for two periods, t∈1,2 . In each period, she has an income yt with…
A: A stock is a broad term that refers to any company's ownership certificates. A share, on the other…
Q: An electricity company has the opportunity to use natural gas to generate electricity at a cost of…
A: Present value(PV) is calculated as: PV=FV(1+r)-n where r is the rate of interest n is the number of…
Q: At what point in one’s life is it safest to try a risky investment? Closer to or further from…
A: From the investment point of view, the life of an individual can be divided into four phases -…
Q: Determine if this manager a risk seeker, risk neutral, or a risk averter. Explain your answer. If…
A: Ans.a) The manager is a risk averter since the utility function is concave down. Indeed, U'= 100-2M…
Q: Suppose that a new machine tool having a useful life of only one year costs $80,000. Suppose, also,…
A: Cost of purchasing the machine is: $ 80,000 Increase in revenue due to that machine is: $92,000…
Q: John and Peter are two representative consumers/investors who maximize the utility of consumption.…
A: Firstly we write the budget Constraints of John and Peter in terms of present value : Let the…
Q: Suppose an investor is concerned about a business choice in which there are three projects, the…
A:
Q: Find the marginal efficiency of the capital if prospective yield is 796 and supply price is 14
A: Initially in the given question, Prospective yield is = 796 Value of supply price = 14 We need to…
Q: utilit
A: Utility function is an important concept which measures the preferences over a set of services and…
Q: Consider the claim that rational investors are not willing to pay more for an investment than its…
A: Present Value is the current value of a future amount of money or investment or stream of cash flows…
Q: NV 1 5ai Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose…
A: Answer -
Q: ou run an oil company that wants to extract an oil reserve. The total stock of oil in the reserve is…
A: Given information Total stock of oil=600 barrels Time period = t1 and t2 Quantity= q1+q2=600 Demand…
Q: Q2) 2, You invest $3,000 for three years at 12 percent. a. What is the value of your…
A: Future value. It can be obtained using the below formula: “” is the present value…
Q: choices. b. Flexibility is a useful method to reduce risk for
A: Risk involves uncertainty about the effects of an activity with respect to something which the…
Q: Consider an individual who will invest a total of $15,000 in direct and indirect costs for training…
A:
Q: Consider the problem of an entrepreneur/borrower with no money and a project requiring L=200 to be…
A: As per the question , Entrepreneur can work hard or shirk . Returns are same in both conditions but…
Q: You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two…
A: GIVEN You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies.…
Q: In a binomial interest rate tree model, assume that the six-month rate process starts on date 0 (=0)…
A: Introduction Initially the price of 6 month is 0 and after 6 month it will either increases or…
Q: index currently stands at 1,500. a 3 months future has a strike price of 1,515 the three-month…
A: Given- current value of Index = 1500, Time= 0.25, future value of Index = 1515
Q: Assume you have $12,000 in cash. You can deposit it today in a mutual fund earning 8.2%…
A: Given: Cash in hand = $12,000 Interest rate of = 8.2% semiannually Or invest = $11,000 in 2 years…
Q: Suppose the market value of a growing tree at time t is a function f(t, x), where a is expenditure…
A: The price of anything, such as an asset, that is decided by the supply and demand of the object in…
Q: ou have recently learned that the company where you work is being sold for $1,000,000. The company's…
A: The gain or loss of an investment over a given time period, represented as a percentage of the…
Q: As time to expiration of an option is increased, with all else being equal, A. The price of the…
A: Options are derivatives contracts that allow the holder the right but not the duty to purchase or…
Q: Microsoft company is considering an investment project which costs $3 million today and its payoff…
A: The investment in a project will depend on the expected profitability.
Q: John will invest $100, 000 in buying the rights to a water well. In perpetuity, the water well makes…
A: Present value of the investment: Present value is the present value, given the rate of return…
Q: Your firm is offered an investment, as follows: If you pay $1 million today, then you will receive…
A: We use Net Present Value (NPV) to answer this question. NPV is the sum of initial investment and the…
Q: Individual retirement accounts (IRAS) were established by the U.S. government to encourage saving.…
A: A Savings account refers to the facility that banks give its customers where the customers deposit…
Q: Consider the Consumption and Savings model with random future income. The utility function of the…
A: We are going to calculate expected utility of savings to answer this question.
Q: Pls don't copy from any other tutor site. Q.What is the present value of $5,000,000 fifteen years…
A: Exponential discount is the specific form of discount function which is used in the analysis of…
Q: the interest rate is 10 percent, the present value of an annual payment of $100,000 to be received…
A: The present value of perpetuity depends on the rate of interest or the discount rate.
Q: Portfolio BB has a dollar duration of 90,000 and a market value of $3 million. Suppose that one year…
A: Given : Dollar duration at beginning=$90000 Market Value=$3 million Dollar duration at…
Q: Consider a worker who is offered a salary bonus of $2,000 for each of the next two years if he or…
A: Annual bonus for 2 years = 2000 $ Present cost = 3000 $ Time = 2 years
Q: Assume you can invest in 2 projects whose payoff depend on the state of the economy. The profits…
A: We have two states of recession and no recession with probability 0.5 and 0.5 each.
Q: return
A: Answer
Q: If the risk-free rate is 3 percent and the risk premium is 5 percent, what is the required return?
A: The required return = return on risk free invested + risk premium So if the risk premium is 5…
Q: what happens when expected profit equal total investment
A: Investment: It can be made in order to get some returns in the future. Suppose if I invested some…
Q: A firm's current profits are $400,000. These profits are expected to grow indefinitely at a constant…
A: To get the value of the firm: Value of the firm = (firm's current profit)×(1+firm's opportunity cost…
Q: Suppose your utility function for money is a square-root function of its value in US dollars. So,…
A: Given, Annual salary = $90,000 Annual salary (catastrophic) = $14,400 Cost of insureance = $4,736…
Q: 2.- Recall the model of an investor whose investment income is taxed at rate t. The investor has §w…
A: Contingent simply refers to the random plan/event. Hence, contingent consumption means consumption…
Q: A firm that owns and manages rental properties is considering buying a building that would cost…
A: Given, Present value of building = $800,000 Revenue = $50,000…
Q: Investments that have a positive net present value should be considered for acceptance. Select one:…
A: Investments are assets or wealth that have been accumulated over time by saving money. Investment…
Q: Show complete solution David won a lottery worth $10,000,000. He has opted for an annuity payment…
A: Future value (FV) is the value of an ongoing asset eventually founded on an expected growth rate.
Q: Suppose you are willing to pay $30 today for a share of stock which you expect to sell at the end of…
A: A dividend refers to a distribution of profits by a company to its shareholders. When a company…
Q: Suppose XYZ Corporation's stock price rises or falls with equal probability by $25 each month,…
A: A stock refers to a financial instrument that represents the ownership share in a firm.This allows…
Q: What is the expected return from an investment if there is a 20 percent chance of a 4 percent…
A: The return on the investment will be calculated based on the weighted average Return on the…
Q: Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into…
A: Expected return means expected value return on investment
Q: You are the manager of a firm. You are given a task to decide which of three options to take to…
A: Option Year1 (RM) Year2 (RM) Year3 (RM) A 70000 80000 90000 B 50000 90000 100000 C 30000…
Q: If your utility function is the following form: U(c) = c1 + B c2, where c1 is the consumption in…
A: The above given problem is a case of intertemporal choice, where consumption is done in 2 period.…
Q: Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have…
A:
Pls solve it quickly.
Step by step
Solved in 2 steps
- Suppose the market value of a growing tree at time t is a function f(t, x), where a is expenditure on tree trimming at t = 0. (Think of a as an investment at t=0 that generates a return in the form of increased tree growth.) Assuming continuous compounding of the interest rater, the present discounted value of profit earned from harvest (or sale) of the tree at time t is V(t, x) = f(t, x)et - x. a. What are the first-order conditions for V(t, x) to have a maximum at t* > 0 and > 0? b. What are the first-order conditions if f(t, x) takes the separable form f(t, x) = g(t)h(x), with g(t) > 0 andh(x) > 0? c. In the separable case, show that g/(t*) < r²g(t*) and h(*) < 0 are sufficient conditions for a critical point (t*, *) to be a local maximum point for V. d. Find t* and ** when g(t) = evt and h(x) = ln(x + 1), and check the local second-order conditions. Please do fast ASAP fastYou have just purchased 200 shares of General Electric stock at $15 per share. You will sell the stock when its market price doubles. If you expect the stock price to increase 12% per year, how long do you expect to wait before selling the stock? (See Figure.)Provide an example of a real-world application in finance or economics where bounded summation is used to calculate the present value of future cash flows.
- Calculate the value of a stock that is expected to pay a constant dividend of $1.05per year if the required return is 11%.As a manager of your company, you are considering to go for a project, with an initial outlay of $200,000. The project has a life of three years and yields (year-end) cash inflows of $ 100,000 in year-1, $150,000 in year-2 and $200,000 in year 3. What is the net present value of the project if the interest rate is 10 percent? Show your steps. Should you recommend to go for the project? Explain in details.An investor has $24,000 to invest in bonds of AAA and B qualities. The AAA bonds yield an average of 6% and the B bonds yield 10%. The investor requires that at least three times as much money should be invested in AAA bonds as in B bonds. How much should be invested in each type of bond to maximize the return? What is the maximum return? Define the variables needed to solve this problem. Organize your given information. (This part NOT graded, but encouraged.) Write the complete linear programming problem, which includes the objective function and all constraints. Graph and make sure all lines are labeled and shaded/solution region is clear and easy to identify. Create a corner point chart. Remember to mark your solution. Answer in a complete sentence or two: How much should be invested in each type of bond to maximize the return? What is the maximum return?
- An entrepreneur recently learned about a new hotel business that requires an initial investment of $12M and annual cash flow of $2M in perpetuity. The appropriate discount rate is 20%. Now, consider a pretty similar scenario: an Initial investment $12M. Now, in good state, $6M annual cash flows. In a bad state, -$2M annual cash flows. Furthermore, assume that the entrepreneur wants to own at most, 1 hotel (no option to expand). - But things change when we consider the abandonment option. At date 1, the entrepreneur will know which forecast has come true. If the world is in the good state, he will keep the project alive. If bad state, he will abandon the hotel after period 1. - Now, what is the NPV of the project? - What is the value of the option to abandon?“Risk-averse investor will never assume risk” - would you agree? Justify your stand. Also, explain the components of return of investment.You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%
- Now suppose you invest in both a factory and the research for the production of Green jetpacks. Look at the factory and research as a total investment. Calculate the net present value (NPV) before tax on the investment based on the following information: The investment cost is paid in full in quarter 0, and the cost of the factory is 100000 while the cost of the research is also 100000. The factory has a lifetime of 20 quarters (5 years) and the value of the factory at the end of quarter 20 is 0 Only green jetpacks should be produced at the factory throughout its lifetime. There is no investment in research to streamline production or material consumption. Suppose the quarterly demand in the market is constant and given at P = 338 - 0.018 * Q, where P is price and Q is the number of jetpacks in demand. There are 5 competitors in the market (including you), and all sell the same number of jetpacks each quarter at the price of 248 each. You produce as much as you sell. The costs…Please do your own work, don't copy from the internet Q2) 2, You invest $3,000 for three years at 12 percent. a. What is the value of your investment after one year? Multiply $3,000 × 1.12. b. What is the value of your investment after two years? Multiply your answer to part a by 1.12. c. What is the value of your investment after three years? Multiply your answer to part b by 1.12. This gives your final answer. Combine these three steps by using the formula to find the future value of $3,000 in 3 years at 12 percent interest.You have been hired as a consultant to a new startup firm to help decide which of three options to take in order to maximize the value of the firm over the next three years. The table provided shows the annual profits for each option, and interest rates are expected to remain constant at 8% for the duration of the three years. Your task is to analyze the data and determine which option will generate the highest value for the firm. A. Discuss the difference in the profits associated with each option. Provide an example of real-world options that might generate such profit streams. B. Which option has the greatest present value? discuss