Intermediate Accounting, 10 Ed
10th Edition
ISBN: 9781260310177
Author: Mark W. Nelson, Wayne B. Thomas J. David Spiceland
Publisher: McGraw-Hill Education
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Chapter 5, Problem 5.6BE
Future value; ordinary annuity
• LO6–6
Leslie McCormack is in the spring quarter of her freshman year of college. She and her friends already are planning a trip to Europe after graduation in a little over three years. Leslie would like to contribute to a savings account over the next three years in order to accumulate enough money to take the trip. Assuming an interest rate of 4%, compounded quarterly, how much will she accumulate in three years by depositing $500 at the end of each of the next 12 quarters, beginning three months from now?
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6.9.
Future value of an ordinary annuity: Robert Hobbes plans to invest $25,000 a year at the end of each year for the next seven years in an investment that will pay him a rate of return of 11.4 percent. How much money will Robert have at the end of seven years?
Chapter 10 Discussion Q2
A perpetuity will pay $900 per year, starting five years after the perpetuity is purchased. What is the present value (PV) at time 0, given that the interest rate is 11%? Show your steps.
A) $2695
B) $4312
C) $5390
D) $3234
Problem 9: : Value of an Annuity vs. a Single Amount
Raymund just won the lottery. He can get his prize either in the form of $40,000 at the end of
each of the next 25 years (that is, $1,000,000 over 25 years) or as a single amount of
$500,000 paid immediately.
If he expects to be able to earn 5% annually on his investments over the next 25 years,
ignoring taxes and other considerations, which alternative should he take? Why?
Would his decision in part a change if he could earn 7% rather than 5% on his investments
over the next 25 years? Why?
Chapter 5 Solutions
Intermediate Accounting, 10 Ed
Ch. 5 - Prob. 5.1QCh. 5 - Explain compound interest.Ch. 5 - Prob. 5.3QCh. 5 - Prob. 5.4QCh. 5 - Prob. 5.5QCh. 5 - Prob. 5.6QCh. 5 - What is an annuity?Ch. 5 - Explain the difference between an ordinary annuity...Ch. 5 - Prob. 5.9QCh. 5 - Prepare a time diagram for the present value of a...
Ch. 5 - Prepare a time diagram for the present value of a...Ch. 5 - What is a deferred annuity?Ch. 5 - Assume that you borrowed 500 from a friend and...Ch. 5 - Compute the required annual payment in Question...Ch. 5 - Explain how the time value of money concept is...Ch. 5 - Prob. 5.1BECh. 5 - Prob. 5.2BECh. 5 - Prob. 5.3BECh. 5 - Present value; single amount LO63 John has an...Ch. 5 - Present value; solving for unknown; single amount ...Ch. 5 - Future value; ordinary annuity LO66 Leslie...Ch. 5 - Future value; annuity due LO66 Refer to the...Ch. 5 - Prob. 5.8BECh. 5 - Prob. 5.9BECh. 5 - Prob. 5.10BECh. 5 - Solve for unknown; annuity LO68 Kingsley Toyota...Ch. 5 - Price of a bond LO69 On December 31, 2018,...Ch. 5 - Lease payment LO69 On September 30, 2018,...Ch. 5 - Prob. 5.1ECh. 5 - Future value; single amounts LO62 Determine the...Ch. 5 - Prob. 5.3ECh. 5 - Prob. 5.5ECh. 5 - Prob. 5.6ECh. 5 - Prob. 5.7ECh. 5 - Prob. 5.10ECh. 5 - Deferred annuities LO67 Required: Calculate the...Ch. 5 - Solving for unknowns; annuities LO68 For each of...Ch. 5 - Solving for unknown annuity amount LO68 Required:...Ch. 5 - Prob. 5.15ECh. 5 - Price of a bond LO69 On September 30, 2018, the...Ch. 5 - Price of a bond; interest expense LO69 On June...Ch. 5 - Prob. 5.18ECh. 5 - Prob. 5.19ECh. 5 - Lease payments LO69 On June 30, 2018,...Ch. 5 - Lease payments; solve for unknown interest rate ...Ch. 5 - Analysis of alternatives LO63, LO67 Esquire...Ch. 5 - Analysis of alternatives LO63, LO67 Harding...Ch. 5 - Investment analysis LO63, LO67 John Wiggins is...Ch. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Deferred annuities LO67 On January 1, 2018, the...Ch. 5 - Prob. 5.8PCh. 5 - Noninterest-bearing note; annuity and lump-sum...Ch. 5 - Prob. 5.10PCh. 5 - Solving for unknown lease payment LO68, LO69...Ch. 5 - Solving for unknown lease payment; compounding...Ch. 5 - Lease v s. buy alternatives LO63, LO67, LO69...Ch. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.1DMPCh. 5 - Prob. 5.2DMPCh. 5 - Prob. 5.3DMPCh. 5 - Prob. 5.4DMPCh. 5 - Judgment Case 65 Replacement decision LO63, LO67...Ch. 5 - Prob. 5.6DMPCh. 5 - Prob. 5.7DMP
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- Q.6. (a) The Rose Garden company will maintain a garden plot for you for a payment of OMR 75 now, followed by annual payments, in perpetuity, of OMR 50. How much would you have to put into an account which was to make these payments if the account guaranteed an interest rate of 10 per cent? Q.6. (b) What is the difference between annuity and perpetuity?arrow_forwardProblem 5-34 Calculating Annuity Interest Rates [LO 4] An investor was afraid that he would become like King Lear in his retirement and beg hospitality from his children, so he purchased grain "tithes," or shares in farm output, for 540 pounds. The tithes paid him 65 pounds per year for 31 years. What interest rate did the he receive on this investment? What is the interest rate?arrow_forwardQ 34 What is the future value of a $830 annuity payment over six years if interest rates are 10 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) FUTURE VALUE?arrow_forward
- Q 40 What's the present value of a $610 annuity payment over six years if interest rates are 10 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) PRESENT VALUE?arrow_forwardPA3. LO 11.3Use the tables in Appendix B to answer the following questions. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?arrow_forward6. Present value of annuities Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years. If the annual interest rate stays constant at 6%, what is the value of these payments in today’s dollars? (Note: Round your answer to the nearest whole dollar.) $6,583 $5,279 $6,210 $7,763 You found out that now you are going to receive payments of $7,000 for the next 14 years. You will receive these payments at the beginning of each year. The annual interest rate will remain constant at 14%. What is the present value of these payments? (Note: Round your answer to the nearest whole dollar.) $64,661 $42,015 $38,318 $47,897arrow_forward
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What is an Annuity? Are Annuities a Good Investment? Basics of an Annuity, a Whiteboard Animation; Author: Learn to invest;https://www.youtube.com/watch?v=Wq7nq8Gx78w;License: Standard YouTube License, CC-BY