Clare is contemplating her possible consumption patter for this year and next. She know that she will have income of $50,000 this year and $55,000 next yea. Her plan is to consume $40,000 this year (t=0). She is also going to invest 30,000. This investment has a positive NPV of $450. She decides to take the investment; in addition, the return on the investment is 9.62%. What consumption she can expect at t=1? (show a detailed procedure)
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Clare is contemplating her possible consumption patter for this year and next. She know that she will have income of $50,000 this year and $55,000 next yea. Her plan is to consume $40,000 this year (t=0). She is also going to invest 30,000. This investment has a positive
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- If Samantha's income is reduced to zero after she loses her job, her consumption will be ________ and her saving will be ________. Group of answer choices greater than zero; less than zero less than zero; less than zero greater than zero; greater than zero less than zero; greater than zeroAssume Marco is initially borrowing and investing 100, with a return on investment of 50% and an interest rate on borrowing at 10%. The return on investment falls to 5%. Which statements are correct? Select one or more: A. Marco’s decision to continue to invest will depend on his preference between consumption today and consumption in the future. B. Marco will wish to invest and borrow, but he will be worse off than when the return to investment was 50%. C. If he continues to invest and borrow, the dashed line representing his new frontier will start at 105 on the y axis and be shallower than the solid red line, so he’ll continue to invest and borrow D. In the remaining questions, assume the central bank now cuts interest rates so that the real interest rate falls to zero. Marco will still not wish to invest and borrow. E. If he just invests his money in the bank instead, his frontier will cross the x axis at 100 and be steeper than the frontier if he invests.…Assume a consumer has current-period income y = 200, future-period income y′ = 150, current and future taxes t = 40 and t′ = 50, respectively, and faces a market real interest rate of r = 0.05, or 5% per period. The consumer would like to consume according to the following utility function: U (c, c′ ) = ln(c) + ln(c′ ). Show mathematically the lifetime budget constraint for this consumer. Find the optimal consumption in the current and future periods and optimal saving. Suppose that instead of r = 0.05 the interest rate is r = 0.1. Repeat parts (a) and (b). Does the substitution effect or the income effect dominate?
- Amy is figuring out her budget for two periods, t∈1,2 . In each period, she has an income yt with y1=200 and y2=0 . ct denotes her consumption level at period t . Amy decides to spend half of her first period income immediately, so c1=100 , and invest the other half ( $100 ). Amy has two investment options. One option is to buy stocks from company B . Each share costs $1 at t=1 . At t=2, the stock price is uncertain. There is a 10 % chance the stock price increases to $4 per share, a 50 % chance the stock price increases to $2.25 per share, and a 40 % chance the company B goes bankrupt and the stock price falls to $0 per share. Amy's other option is to invest all $100 in a savings account. But at t=2 , there is also a random shock to the savings account. There is a 50 % chance the bank operates normally and the interest rate is r=44 % and a 50 % chance the interest rate falls to 0 (but Amy can still get her $100 principal back). 1. Assume without proof that at t=1 , she still consumes…Amy is figuring out her budget for two periods, t∈1,2 . In each period, she has an income yt with y1=200 and y2=0 . ct denotes her consumption level at period t . Amy decides to spend half of her first period income immediately, so c1=100 , and invest the other half ( $100 ). Amy has two investment options. One option is to buy stocks from company B . Each share costs $1 at t=1 . At t=2, the stock price is uncertain. There is a 10 % chance the stock price increases to $4 per share, a 50 % chance the stock price increases to $2.25 per share, and a 40 % chance the company B goes bankrupt and the stock price falls to $0 per share. Amy's other option is to invest all $100 in a savings account. But at t=2 , there is also a random shock to the savings account. There is a 50 % chance the bank operates normally and the interest rate is r=44 % and a 50 % chance the interest rate falls to 0 (but Amy can still get her $100 principal back). 1. If Amy invests $ 100 in stocks at t=1 , what is the…A decision maker allocates an endowment of W > 0 dollars across two periodst = 1, 2. He discounts the future by β ∈ (0, 1) while facing a gross interest rateof R > 1. His utility is the same as studied in class. Solve for the intertemporalchoice problem. Show that the optimal consumption is decreasing over time ifβR < 1, constant over time if βR = 1, and increasing over time if βR > 1.
- Assume an intertemporal budget constraint that shows how consumption can be traded off between two periods, t and t+1. Assume the consumer can save and borrow at the same interest rate of 10%. Assume the consumer collects income of $100 in each period. To gain an extra $10 dollars in period t+1, what must the consumer give up in period t? 11 10 1 10H3. An investor with an initial endowment of $ 16,000 is confronted with the following productivity curve: C1= 240 (16,000 − C0)0.5 where C0 denotes consumption at present, and C1 consumption in the future. Assume the interest rate (for borrowing and lending) is 20%. The investor's utility function, from which it is possible to derive his indifference curves, is defined as: U(C0, C1) =C0C1 . What is the NPV of the investment chosen by the investor? Show proper step by step calculationIf mpc = 0.8 and the additional income is P12,000, how much is the additional consumption? How much is the additional savings? show the computations
- John and Peter are two representative consumers/investors who maximize the utility of consumption. John's utility of consumption is characterized as ln(x) + 2ln(y) while Peter puts more weight on the current consumption level and has a utility function of 2ln(x) + ln(y). John has a wealth of ($10, $20) thousand, while Peter has a wealth of ($20, $15) thousand now and next year, respectively. (a) What are the optimal consumption plans forJohn and Peter,respectively,if the interest rate is 5% per annum? (b) If John and Peter are the only investors/consumers, what is the equilibrium interest rate? (c) Further to part (b), how much do they borrow or lend to each other?If Evan's income is reduced to zero after he loses his job, his consumption will be ________ and his saving will be ________. a.greater than zero; less than zero b.greater than zero; greater than zero c.less than zero; greater than zero d.less than zero; less than zeroLimitless Ltd. is planning to buy a new warehouse to store its production output. The investment would require £500,000 to be paid upfront. Thanks to the new warehouse, the company expects to increase its profits by £120,000 annually for the next five years, and then £60,000 for the following five years. Calculate the Net Present Value (NPV) of this investment opportunity if the cost of capital is 12%. Should Limitless Ltd. go ahead with the purchase of the new warehouse? Explain your reasoning. What is the payback period of this investment? Suppose the Internal Rate of Return (IRR) of this investment opportunity is 15%. Based on this information alone, should Limitless Ltd. make the investment? Why? Would this decision be consistent with that from B? Explain your reasoning. Suppose that, instead of paying the initial £500,000 now, Limitless Ltd. decides to pay it in equal instalments over the next 10 years. How much would the company need to pay each year to make all…