Dr Issac Parish will live for two periods only. His utility function is U(c1, c2) = C1c2, where c, is consumption in period 1 and c2 is consumption in period 2. He will have no income in period 2. His income in period 1 is £40,000. If the interest rate rises from 10 to 14%: Select one: a. his savings will not change but his consumption in period 2 will increase by £800. O b. his consumption in both periods will decrease. c. his savings will increase by 4% and his consumption in period 2 will increase. O d. his consumption in period 1 will decrease by 14% and his consumption in period 2 will increase. e. his consumption in both periods will increase.
Q: In Figure 7.2, if the consumption function is C=100+0.75Y, then: O the savings function is…
A: Relationship between Income (Y), consumption (C) and saving (S) Y = C + S Where Y is income C is…
Q: Bob has preferences over consumption in period 0 and 1 of the form U(x, y) = xy, where x and y are…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Cindy is considering going to law school. If she does, she will spend $70,000 on tuition and books…
A: In economics, present value refers to the current value of a future stream of cash flow. Future…
Q: Assume Peter's preferences over time (periods are yearly) are given by U(c1, C2, C3, C4, -...) =…
A: The utility function is a key concept in economics that quantifies preferences across a range of…
Q: Consider a two-period consumption saving model and let f1 and f2 denote the first and second period…
A: Utility function : f1+20f2 Where , c1 is consumption in period 1 , c2 is consumption in period 2…
Q: 4. To meet the equilibrium point given the level of output is constant, how much increase in…
A: Here the interest rate is is 0.6 shown by a horizontal line and the given output level is 120
Q: Suppose that upon graduation you decide to buy a house in Riverside. You have $5,000 of cash savings…
A:
Q: A consumer's income in the current period is y = 100, and income in the future period is y' = 120.…
A: Lifetime wealth = Present value of lifetime disposable income. The lifetime budget constraint is Y1…
Q: How much money must you invest today in order to withdraw P 15,640 annually for6 years if the…
A: Given information, Annual amount (A): ₱ 15,640 Time period (N): 6 years Interest rate (i): 2.91%…
Q: Consider the 2-period household model that you have seen in the asynchronous class. Suppose the…
A: A fall in interest rate makes borrowing seems cheaper, as a lesser amount has to be paid in return.
Q: Elijah has a utility function U(c1, c2) = min{c1, c2}, where cl and c2 are his consumption in…
A: Consumer can either save or spend his income. When the consumer saves he increases his future…
Q: Indicate whether the statement is true or false, and justify your answer.Consider two investment…
A: The given statement is true.
Q: An individual has preferences over contingent consumption in two states of nature {a, b}, given by u…
A: Optimal consumption point for a consumer optimizing its utility over consumption is two states…
Q: Consider a bond with a three-year remaining maturity. A. If somehow the face value of the coupon is…
A: Given, Worth of the bond's coupon FV =$10000voucher payment (C)= $500 per yearproduce to maturity…
Q: NV 1 5ai Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose…
A: Answer -
Q: Suppose that the initial equilibrium interest rate is 3%. What is the equilibrium price of a $100…
A: Answer
Q: You are considering taking out a two-year loan of$1,000 from a bank, on which you can pay…
A: Case 1 : Compound yearly interest Principal (P) = $1,000 Interest rate (r) = 1% Time period (t) = 2…
Q: The future value of an annuity will increase if the interest rate goes up , but the present value of…
A: To find out the present value, we discount the future values with respect to the interest rate.
Q: Q1 4. Suppose you earn same income as one of your cousins but expect to live longer than your…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: If interest rates in the economy are high, then a firm would use a MARR higher than current interest…
A: "Since you have asked multiple questions, we will solve first question for you .. If you want any…
Q: Consider a person who will live for two years (1 and 2). The real interest rate between the two…
A: Individuals and businesses pursue utility maximization as a strategic strategy for achieving the…
Q: A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He…
A: A.
Q: Judy lives for two-periods. Her utility from consumption in periods 1 and 2 is given by U(C1,C2)=C1…
A:
Q: Describe the following term in your own words. Q.2.1 Investment
A: Economic Investments: Economic growth is linked to investments within a country or nation. Economic…
Q: Consider a two-period living consumer with a utility function, u(c)=sqrt(c). Suppose the real…
A: Given, A two period living consumerUtility Function : U(c) =sqrt(c)Real Interest rate, R=10%Utility…
Q: 2c. Mathematically derive slope of IS curve. Prove that if investment does not depend on interest…
A: The IS curve tells us about the several combinations of national income and interest rate where the…
Q: O If the market interest rate (i) increases today, the Price of a Bond (P) today will decline. The…
A: The coupon bonds are the bonds in which the interest rate that the bonds pays to the holders will be…
Q: assume an investor is negotiating with the bank to pay either a 1.5% interest rate or a 2.0%…
A: I'm Assuming some of the Values so that I can answer this question.
Q: You have two investments to choose from. Investment A pays an interest rate of 5% for 2 years and…
A: Future worth is a worth of a venture or resource on a particular date from now on. To put it another…
Q: INV 1 5aiv Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose…
A: Answer -
Q: Suppose Van would like to use $9,000 of his savings to make a financial investment. One way of…
A: Answer: Suppose RoboTroid , a robotics firm , is selling bonds to raise money for a new lab, a…
Q: If the IS curve is given by Y=1,700–100r and the LM curve is given by Y=500+100r, then equilibrium…
A: The income level in an economy plays a very important role in determining how the economy is…
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: Suppose you have the option to purchase for $955 a two-year old bond with a $1,000 face value and…
A: Face value of bond = 1000 $ Current price = 955 $ Coupon rate = 8 % Time = 2 years As the bond is…
Q: Which of the following would1 the Qd of LF? Select one: O A. expected profit decreases. B. the real…
A: The loanable funds concept is a market interest rate hypothesis in economics. The interest rate is…
Q: TE 45° TE2=C+I2+G+(X-IM) TE:=C+I+G+(X-IM) AI:100 Y1 If the $100 increase in investment in Figure 9.1…
A: MPC defines how sensitive is the consumption with respect to income level . It is given as : ∆C / ∆…
Q: Judy lives for two-periods. Her utility from consumption in periods 1 and 2 is given by…
A: We have a utility function, UC1, C2 =C110-N11 C2N+111If N =0UC1, C2 =C11011 C2111 a) At the optimal…
Q: Consider a two-period consumption saving model and let c1 and cz denote the first and second period…
A:
Q: Holly's utility function is U(c1, c2) = c21 + 0.87/22, where cį is her consumption in peric and c2…
A: In economics, utility function is an important concept that measures preferences over a set of goods…
Q: Assume Peter's preferences over time (periods are yearly) are given by U(c1, C2, C3, C4, · ...) =…
A: Consumption refers to the amount of goods and services purchased and used by an individual during a…
Q: der a two-period living consumer with a utility function, u(c)=sqrt(c). Suppose the real interest…
A:
Q: Assume that a consumer's utility over two years is a function of consumption during the twe years.…
A: Utility function : U = ln C1 + B ln C2 Intertemporal Budget Constraint : C1 + C2/(1+R ) = Y1 +…
Q: Patience has a utility function 1/2 1/2 U(cl, c2) = c² + 0.80c where c is her consumption in period…
A: Utility function U(C1,C2)=C1/21+0.801/22from this we get the slope of the utility…
Q: If consumers spend of a change in their disposable income, then a tax increase of $100 would lower…
A: The marginal propensity to consume (MPC) is outlined because the proportion of AN mixture raise in…
Q: The Kelowna Go-Kart Klub has decided to build a clubhouse and track five years from now. It must…
A: Write the formula used for calculation as follows: Amount = Amount to be accumulated/ (F/A, I,n)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Seung’s utility function is given by U = ln(C), where C is consumption. She makes $30,000 per year and enjoy jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $15,000, and lose an additional $5,000 from missing work. (a) What is Seung’s expected utility without insurance? (b) Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is her expected utility if she buys it? (c) Suppose Seung can buy insurance that will cover her medical expenses and forgone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it?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?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…Seung's utility function is given by U - C^(1/2), where C is consumption and C^(1/2) is the square root of consumption. She makes $50,625 per year and enjoys jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $30,000, and lose an additional $5,000 from missing work. a. What is Seung's expected utility without insurance? b. Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is the expected utility if she buys it? Policy cost: $___ Expected utility: ___ c. Suppose Seung can buy insurance that will cover her medical expenses and foregone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it? Policy cost: $___ Expected Utility: ___A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He or she pays lump-sum taxes t=20 in the current period and t'= 10 in the future period. The real interest rate is 0.1, or 10%, per period. (a) Determine what the consumer's optimal current-period and future-period consump tions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference curves. Is the consumer a lender or a borrower? (b) Now suppose that instead of y = 100 the consumer has y = 140 Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a dia gram. Is the consumer a lender or a borrower? (c) Explain the differences in your results be tween parts (a) and (b).
- 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?Angie owns an endive farm that will be worth $90,000 or $0 with equal probability. Her Bernouilli utility function is u(w) =√w, where w is her wealth level (sum of initial wealth and the worth of the endive farm). 1. Suppose her firm is the only asset she has, that is, she has no initial wealth. What is the lowest price P at which she will agree to sell her endive farm before she knows how much it will be worth? 2. Redo part (1) assuming that she has $160,000 in her bank safe. 3. Compare and discuss your results in parts (1) and (2). What relationship can you find between Angie’s initial wealth level (zero versus $160,000) and her risk aversion?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.
- Consider an individual who lives for two periods and has utility of lifetime consumption U = log(C1) + 1/1+δ log(C2), where C1 and C2 are the consumption levels in the first and second period respectively, and δ, 0 1 > 0 in the first period and no income in the second period, so Y2 = 0. He can transfer some income to the second period at a before-tax rate of return of r, so saving $S in the first period gives $[1 + r]S in the second period. The government levies a capital tax at rate τ on capital income received in the second period. The tax proceeds are paid as a lump-sum transfer to the following generation. The present generation does not care about the next one. a. What is the lifetime consumption profile of this individual? What is his lifetime indirect utility function expressed as a function of Y1 and b. Evaluate the change in initial income Y1 that is required to compensate the individual for the welfare loss due to the capital income tax τ. c. What is…Assume that the probability of having an accident in a year is 0.08. Suppose that your yearly income is 50,000 TRY and in case of an accident your income drops to 15,000 TRY. Your utility function is U(?) = ln (?) where C is consumption. a) What is your expected utility at the end of the year without insurance?b) Calculate an actuarially fair insurance premium for the full insurance. c) What would your expected utility be if you purchase a full insurance with actuarially fair premium? Will you buy this insurance, why or why not?INV 1 5aiv Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 standard deviation = 0.173687 ETFCDA : E(r)= 0.073763 standard deviation = 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 What is the standard deviation for ETFCDA?