Consider an economy that lasts for two periods. A household receives nominal labour income Y₁ in thefirst period and Y₂ in the second period. The price level in the first period is P₁ and in the second periodit's P₂. The nominal interest rate is i and the inflation rate is T. A household chooses real consumptionc₁ and c₂ (relative to price level in the first period) to maximise utility U(C₁, C2)=√₁+√√₂ with0 < 3 < 1 being the time preference discount factor. Formally, the household solves:max √₁ + 3√√₂£1,C2subject to: Y₁ = P₁c₁+s,and Y₂ = P2c2 + (1 + i)s,where s is either savings, when s> 0, or borrowing, when s < 0.1.Combine the within-period budget constraints into an intertemporal, nominal budgetconstraint in period-1 values.Next, write the intertemporal budget constraint in real terms in period-1 values.

Since you have asked multiple questions, we will answer the first two parts for you. If you want any…

Answered: 1. constraint Combine the within-period…

1. constraint Combine the within-period budget constraints into an intertemporal, nominal budget in period-1 values. Next, write the intertemporal budget constraint in real terms in period-1 values.

Economics (MindTap Course List)

13th Edition

ISBN:9781337617383

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter29: Interest, Rent, And Profit

Section: Chapter Questions

Problem 5QP

See similar textbooks

Similar questions

Suppose Dalia is a sports fan and buys only football tickets. Dalia deposits $4,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $10.00. Initially, Dalia's $4,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalla's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20 football…
Suppose Dalia is a sports fan and buys only football tickets. Dalia deposits $3,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $15.00. Initially, Dalia's $3,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalia's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20 football…
Suppose Damaris is a sports fan and buys only football tickets. Damaris deposits $2,000 into a savings account that pays an annual nominal interest rate of 10%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $10.00. Initially, Damaris's $2,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Damaris's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit cover 20.7 football tickets, you would round the purchasing power down to 20 football…
Suppose Damaris is a sports fan and buys only football tickets. Damaris deposits $3,000 into a savings account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a football ticket has a price of $15.00. Initially, Damaris's $3,000 deposit has a purchasing power of football tickets. For each of the annual inflation rates given in the following table, first determine the new price of a football ticket, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Damaris's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest football ticket. For example, if you find that the deposit will cover 20.7 football tickets, you would round the purchasing power down to 20…
The first two columns of the table below describe the goods and quantities included in your current monthly consumption. Suppose you have been able to use all of your monthly income (no savings) to afford this level of fixed consumption over the last few years despite the increase in the cost of living. • Round all expenditure calculations to the nearest dollar. • Round CPI and inflation (expressed as an integer) to 1 decimal place. • Carry your rounded figures throughout the rest of the problem. 2018 2019 2020 Basket Prices Prices Item Prices Quantities Meal Kit Delivery $106.00 8 $107.00 $110.25 $48.25 $50.00 $46.00 $53.00 Water 16 Hydro Electricity 14 $56.90 $58.75 Dry cleaning $62.00 10 $64.75 $68.00 Entertainment $26.00 17 $28.75 $32.80 Part (a): Using the quantities specified in the 2018 basket of goods, calculate the CPI for 2018, 2019 and 2020. Part (b): What is the inflation rate between 2018 and 2019? 2019 and 2020? Part (c): Suppose inflation is expected to remain constant…
Please explain this correctly I upvote Not copy paste. Q) Would you rather live in the U.S. in 1900 with an income of $1 million per year, or in the U.S. in 2020 with an income of $50,000 per year (assume we've accounted for inflation and the incomes for both years are measures in 2020 dollars)? Explain.
The consumer price index (CPI) is a fixed-weight index. It compares the price of a fixed bundle of goods one year with the price of the same bundle of goods in some base year. Calculate the price of a bundle containing 100 units of good X, 150 units of good Y, and 25 units of good Z in 2008, 2009, and 2010. Convert the results into an index by dividing each bundle price figure by the bundle price in 2008. Calculate the percentage change in your index between 2008 and 2009 and again between 2009 and 2010.Was there inflation between 2009 and 2010? QUANTITY CONSUMED 2008 PRICES 2009 PRICES 2010 PRICES GOOD 100 $1.00 $1.50 $1.75 Y 150 1.50 2.00 2.00 25 3.00 3.25 3.00
Interest, inflation, and purchasing power Suppose Dalia is a fan of young-adult fiction and buys only young-adult books. Dalia deposits $2,000 into a savings account that pays an annual nominal interest rate of 20%. Assume this interest rate is fixed, and so it will not change over time. On the day she makes her deposit, suppose that a young-adult book has a price of $20.00. Initially, Dalia's $2,000 deposit has a purchasing power of #????? young-adult books. For each of the annual inflation rates given in the following table, first determine the new price of a young-adult book, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Dalia's deposit after one year in the first row of the table for each inflation rate. Finally, enter the value for the real interest rate at each of the given inflation rates. Hint: Round your answers in the first row down to the nearest young-adult book. For example, if you find that the deposit will cover…
If the price of your cell phone contract increases from R 700 to R 900 over a period of one year and your income rises from R15 000 to R15 500 during that same period, your nominal income has… a) Increased, and your real income has increased. b) Increased, but your real income has decreased. c) Decreased, and your real income has decreased. d) Increased, but your real income has remained the same.
The Consumer Price Index (CPI) is a measure of the average change in price over time from a designated reference period, at which it equals 100. The index is based on prices of basic consumer goods and services. The table provided lists the CPI for several years from 1960 to 2012. If the price change in cars parallels the change in the CPI, what would a car sell for (to the nearest dollar) in 2012 if a comparable model sold for $7,500 in 1999? Year CPI 1960 29.6 1973 1986 44.4 109.6 156.9 1999 2012 229.6 In 2012, a car would sell for approximately $ 58,176 (Round to the nearest dollar.)
A consumer has two goods in his consumption bundle: bread and coffee. The current price of bread is $4.00 per loaf and the price of coffee is $8.00 per cup. This consumer currently buys 10 loaves of bread per week and 5 cups of coffee. Suppose that the price of bread increases by 20% and the price of coffee increases by 20% (enter your Using this current consumption bundle, calculate the value of the CPI for this consumer. CPI = response rounded to two decimal places). By how much would a consumer's income need to change (in percentage terms) to compensate for these higher prices?% (enter your response as a percentage rounded to two decimal places).
Lynda and Tom have data on the nominal price of a liter of milk in Germany in 1990 and 2010, respectively. They would like to calculate the present increase in the real price of milk over this time interval. To this end, Lynda uses a consumer price index (CPI) with the base year set at 1995 and Tom uses a CPI with the base year set at 2005. There was positive inflation between 1995 and 2005 of 3%. Based on this, it can be concluded:a) Tom and Lynda will reach the same calculation of the percentage increase in the real price of milkb) nothing can be concluded about their calculations without knowing the growth rate of real GDP between 1990 and 2010c) the nominal price of milk decreased between that 2 yearsd) Tom’s calculation of the percentage increase in the real price of milk will be higher than Lynda’se) Lynda’s calculation of the percentage increase in the real price of milk will be higher than Tom’s