Consider a perpetuity with a coupon of 100. Imagine that the perpetuity is purchased at time t when the market interest rate is equal to 5%. Furthermore, imagine that the coupon income is taxed at 40% and that capital gains are taxed at 20%. What is the after tax rate of return if the perpetuity is sold at time t+1 when the market interest rate continues to be equal to 5%?

Consider a perpetuity with a coupon of 100. Imagine that the perpetuity is purchased at time t when the market interest rate is equal to 5%. Furthermore, imagine that the coupon income is taxed at 40% and that capital gains are taxed at 20%. What is the after tax rate of return if the perpetuity is sold at time t+1 when the market interest rate continues to be equal to 5%?

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter5: Investment Decisions: Look Ahead And Reason Back

Section: Chapter Questions

Problem 5.2IP

See similar textbooks

Similar questions

Suppose Poornima is an avid reader and buys only comic books. Poornima deposits $3,000 in a bank account that pays an annual nominal interest rate of 10%. Assume this interest rate is fixed-that is, it won't change over time. At the time of her deposit, a comic book is priced at $15.00. Initially, the purchasing power of Poornima's $3,000 deposit is comic books. For each of the annual inflation rates given in the following table, first determine the new price of a comic book, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Poornima'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 comic book. For example, if you find that the deposit will cover 20.7 comic books, you would round the purchasing power down to 20 comic books under the assumption that Poornima will…
Suppose Latasha is a sports fan and buys only baseball caps. Latasha deposits $3,000 in a bank account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed-that is, it won't change over time. At the time of her deposit, a baseball cap is priced at $10.00. Initially, the purchasing power of Latasha's $3,000 deposit is baseball caps. For each of the annual inflation rates given in the following table, first determine the new price of a baseball cap, assuming it rises at the rate of inflation. Then enter the corresponding purchasing power of Latasha'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 baseball cap. For example, if you find that the deposit will cover 20.7 baseball caps, you would round the purchasing power down to 20 baseball caps under the assumption that Latasha…
Assume Medet decided to buy a car. His friend Aidar has lent him $10,000 USD. Medet and Aidar agree that Aidar should earn a real return of $5 percent per year. Enter your responses rounded to two decimal places. (a). The CPI (times 100) is 100 at the time that Frank makes the loan. It is expected to be $111 in one year and $128 in two years. What nominal rate of interest should Aidar charge Medet? The nominal rate of interest charged should be % in year 1. The nominal rate of interest charged should be % in year 2. (b). Suppose Aidar and Medet are unsure about what the CPI will be in one year. How should Aidar and Medet's annual repayments ensure that he gets an annual $5 percent rate of return? Aidar should charge Medet % more than the inflation rate.
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 equal amounts in both periods; that is, he or she would like to set c=c', if possible. However, this consumer is faced with a credit market imperfection in that he or she cannot borrow at all; that is, saving s20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. (b) Calculate his or her optimal current-period and future-period consumption and optimal saving and show this in your diagram. (c) Suppose that everything remains unchanged, except that now t=20 and t'=71. Calculate the effects on current and future consumption and optimal saving and show this in your diagram. (d) Now, suppose alternatively that y=100. Repeat parts (a) to (c) and explain any differences.
The maximum amount an individual can contribute to her Registered Retirement Savings Plan (RRSP) for a year is set from time to time by the Regulations of the Income Tax Act. For the year 2020, the maximum contribution is the lesser of $27,230 or 18% of the individual’s “earned income” during 2019. What is the maximum RRSP amount that can be contributed in 2020 based on an income of $128,500 in 2019?
Suppose Neha is a sports fan and buys only baseball caps. Neha deposits $3,000 in a bank account that pays an annual nominal interest rate of 5%. Assume this interest rate is fixed—that is, it won't change over time. At the time of her deposit, a baseball cap is priced at $10.00. Fill in the chart: 0% 5% 8% Number of Caps Neha Can Purchase after One Year Choices: 291, 305, 315, 582 Choices: 291, 300, 305, 582 Choices: 291, 305, 315, 582 Real Interest Rate When the rate of inflation is less than the interest rate on Neha's deposit, the purchasing power of her deposit __________ (options: falls, rises, remains the same) over the course of the year.
Calculate the net present value in year 0, of the next series of payments. Suppose that i = 10% per year.
What is the present value of a perpetuity that pays $1,500 every year at a discount rate of 7.5%?
You are just retired, You pension company promised you that they will pay you $25,000 a year for 30 years. The first payment you will receive is a year from now. The market interest rate is 5% per year. a) What is the present value of you pension if the payment you receive will be the same for 30 years? b) What is the present value of your pension if the payment you receive will grow 3% per year to combat inflation?
An inflation-adjusted pension provides for continuous payments over the next 10 years at the rate of 20,000 e dollars per year t years from now. Suppose the applicable interest rate is 4% p.a. compounded continuously over the next 10 years. Find the present value of this pension, and also find the total dollars that is paid out. PV = Total paid out =
Ten years ago, Ginny inherited $55,000 from her grandmother. She decided to invest all of this money in GE stock. Suppose she decides to sell the stock today so she can purchase her first home. The sale price of the stock is $75,000. Calculate the size of Ginny's taxable capital gain.
Yogajothi is thinking of investing in a rental house. The total cost to purchase the house, including legal fees and taxes, is $240,000. All but $30,000 of this amount will be mortgaged. He will pay $1700 per month in mortgage payments. At the end of two years, he will sell the house and at that time expects to clear $50,000 after paying off the remaining mortgage principal (in other words, he will pay off all his debts for the house and still have $50,000 left). Rents will earn him $2500 per month for the first year and $2900 per month for the second year. The house is in fairly good condition now, so he doesn't expect to have any maintenance costs for the first six months. For the seventh month, Yogajothi has budgeted $500. This figure will be increased by $50 per month thereafter (e.g., the expected month 7 expense will be $500, month 8, $550, month 9, $600, etc.). If interest is 6 percent compounded monthly, what is the present worth of this investment? Given that Yogajothi's…