Time value As part of your financial planning, you wish to purchase a new car exactly 5 years from today. The car you wish to purchase costs $14,000 today, and your research indicates that its price will increase by 2% to 4% per year over the next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) 2% per year and (2) 4% per year. b. How much more expensive will the car be if the rate of inflation is 4% rather than 2%?

Time value As part of your financial planning, you wish to purchase a new car exactly 5 years from today. The car you wish to purchase costs $14,000 today, and your research indicates that its price will increase by 2% to 4% per year over the next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) 2% per year and (2) 4% per year. b. How much more expensive will the car be if the rate of inflation is 4% rather than 2%?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume that you and your family want to go on vacation in 5 years. You are planning to save for the trip. The estimated cost of the trip will be $10,000. You have found an investment that will pay 6% annual interest for the next 5 years. Using Excel, calculate the dollar amount that will be required to invest today to reach the financial expense for your vacation.
Suppose you would like to purchase a new mustang GT. The sticker price of the mustang you want is $40000. The dealer is able to give you an APR of 4% for 5 years. How much will your monthly payments be?How much will you have paid in interest once the loan is paid off?
You are considering the purchase of a property today for $300,000. You plan to finance it with an 80 percent loan. The appreciation rate on the property value is expected to be 4 percent annually for the next three years. Required: a. Approximate the expected annual average rate of appreciation on home equity for the next three years. b. What if you now think that a $300,000 purchase price may be somewhat high and that if you pay this price, the expected appreciation rates in your house price will be as follows: year 1 = 0%, year 2 = 2%, and year 3=3%. Approximate the expected annual average rate of appreciation on home equity for the next three years.
Suppose you have opened an MRI clinic and you are able to purchase a new MRI machine for $1 million. You plan to see 2000 patients per year, and you have determined that your MRI machine at that rate of use should last 10 years. Given a 5% rate of interest, use an annuity calculation to estimate the annual cost of an MRI per patient. Suppose that you could use the machine for 3 years and then sell it for $500,000. What would your annual cost per patient be in that case? Suppose you know that inflation is going to be 10% per year and that you will use the machine for 3 years and then be able to sell it for $800,000 (note that the $800,000 is measured in units of dollars 3 years from now). What then is your annual cost per patient and is your answer in dollars today or dollars three years from now?
Leasing a machine requires making monthly payments of $6,000 for the next 5 years (i.e., at t = 1, 2, …, 60). Buying the machine today (t = 0) will cost you $320,000. Assume the machine is worthless after 5 years. You can borrow and lend at a semi-annually compounded interest rate of 6% (APR). Would you be better off by buying or leasing? Explain.
You want to buy a house within 3 years, and you are currently saving for the down payment. You plan to save $10,000 at the end of the first year, and you anticipate that your annual savings will increase by 20% annually thereafter. Your expected annual return is 12%. How much will you have for a down payment at the end of Year 3? Do not round intermediate calculations. Round your answer to the nearest cent. $
Assume that you plan to retire 40 years from now and that you expect to need $2M to support the lifestyle that you want. (a) If the interest rate is 10%, is the following statement approximately true? “Waiting 5 years to start saving doubles what you must deposit each year.” (b) If the interest rate is 12%, is the required multiplier higher or lower than for the 10% rate in (a)? (c) At what interest rate is the following statement exactly true? “Waiting 5 years to start saving doubles what you must deposit each year.”
You want to purchase a new car and you are willing to pay $20,000. If you can invest at 10% per year and you currently have $15,000, how long will it be before you have enough money to pay cash for the car?
The best way to break the 100,000 mile mark for your car is to schedule regular oil and filter changes. Annual savings are estimated to be $7,000 over the 12 year life of your car. If interest is 12% per year compounded continuously, what is the future equivalent value of your savings?
A real estate property is on the market. You have estimated it will give you net cash flows of $5136 per month. You hope to sell it in 9 years for $308182. Your required return is 9.46%, how much should you be willing to pay for the property today? Answer:
Quantitative Problem: You need $14,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 4 years, with the first payment to be made one year from today. He requires a 9% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent. Interest: $ Principal repayment: $
You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 10.5% per year on your investments and you plan to retire in 36 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 10.5% in retirement)? d. If, instead, you decide to withdraw $270,000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it…

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