5. Interest, inflation, and purchasing power Suppose Diamond is a sports fan and buys only football tickets. Diamond deposits $4,000 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 $20.00. Initially, Diamond'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 Diamond'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 tickets under the assumption that Diamond will not buy seven-tenths of a football ticket. Annual Inflation Rate 10% 0% 13%
5. Interest, inflation, and purchasing power Suppose Diamond is a sports fan and buys only football tickets. Diamond deposits $4,000 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 $20.00. Initially, Diamond'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 Diamond'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 tickets under the assumption that Diamond will not buy seven-tenths of a football ticket. Annual Inflation Rate 10% 0% 13%
Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter16: Measuring The Cost Of Living
Section: Chapter Questions
Problem 9PA
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![5. Interest, inflation, and purchasing power
Suppose Diamond is a sports fan and buys only football tickets. Diamond deposits $4,000 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 $20.00.
Initially, Diamond'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 Diamond'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 tickets under the assumption that Diamond will not buy seven-tenths of a football ticket.
Number of Tickets Diamond Can Purchase after One Year
Real Interest Rate
0%
Annual Inflation Rate
10%
%
13%
When the rate of inflation is equal to the interest rate on Diamond's deposit, the purchasing power of her deposit
course of the year.
over the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25c28050-a834-4272-a72d-8d3700bc12d6%2Fce2c122f-2626-41e2-a8a2-2a759c8f5916%2F2u7sz9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Interest, inflation, and purchasing power
Suppose Diamond is a sports fan and buys only football tickets. Diamond deposits $4,000 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 $20.00.
Initially, Diamond'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 Diamond'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 tickets under the assumption that Diamond will not buy seven-tenths of a football ticket.
Number of Tickets Diamond Can Purchase after One Year
Real Interest Rate
0%
Annual Inflation Rate
10%
%
13%
When the rate of inflation is equal to the interest rate on Diamond's deposit, the purchasing power of her deposit
course of the year.
over the
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