Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 6, Problem 72QP
Calculating Interest Rates [LO4] A financial planning service offers a college savings program. The plan calls for you to make six annual payments of $15,000 each, with the first payment occurring today, your child’s 12th birthday. Beginning on your child’s 18th birthday, the plan will provide $32,000 per year for four years. What
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8) Special Retirement PlanYou set up a retirement plan where you will invest $20,000 per year in an account with a guaranteed rate of return of ? = 0.05. The plan requires that you start investing immediately at year t=0, and make fifteen (15) additional payments of $20,000 in years t=1, t=2, ..., t=10. You make 11 investments in total.
a. What will be the value of this stream of investments in year t=50?
b. What is the maximum you can withdraw per year over the twenty (20) year period from t=51, t=52, ..., t=70? You have to withdraw the same amount each year.
c. What is the maximum that you can withdraw per year forever if you start to make withdrawals in year t=51. You have to withdraw the same amount each year. 19)
4. Looking forward - Future value
Compounding Interest
You know that paying yourself by depositing money in a savings account is a prudent start to your retirement plan. You determined that, based on your other obligations, you can save 6,875.00 per year via an annual, single year-end deposit. You are 40 years old now, so your money will grow for the next 25 years until you turn 65. You will open a savings account at the US Bank branch near your home. Its savings accounts are paying 6% interest.
The following table shows the future value factors for various periods and interest rates:
Future Value of an Annuity Factor
Year
2%
3%
5%
6%
8%
9%
10%
10
10.950
11.460
12.578
13.180
14.487
15.190
15.937
12
13.412
14.190
15.917
16.870
18.977
20.140
21.384
15
17.293
18.600
21.578
23.270
27.152
29.360
31.772
20
24.297
26.870
33.066
36.780
45.762
51.160
57.274
25
32.030
36.460
47.726
54.860
73.105
84.700
98.346
30
40.567
47.570
66.438
79.060
113.282
136.300…
WITH SOLUTION PLS
Suppose you make an annual contribution of P8,698 each year to a college fund for a niece. He is 6 years now, and you will start next year and make the last deposit when he is 18. The fund is a money market account earning 5.29% per year. What will it be worth immediately after the last deposit?
Chapter 6 Solutions
Fundamentals of Corporate Finance
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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- You purchase an annuity that will pay you $100 every three months for five years. The first $100 payment will be made as soon as you purchases the investment. If your required rate of return is 9% , how much should you be willing to pay for this investment? Group of answer choices $1,596.82 $1,632.29 $1,759.34 $1,510.46arrow_forwardthe bank compounding, How long will Personal Finance Problem Funding your retirement You plan to retire in exactly 20 years. Your goal is to cre ate a fund that will allow you to receive $20,000 at the end of each year for the 30 years between retirement and death (a psychic told you that you would die exactly 30 years after you retire). You know that you will be able to earn 11% per year ing the 30-year retirement period. a. How large a fund will you need when you retire in 20 years to provide the 30-year, $20,000 retirement annuity? b. How much will you need today as a single amount to provide the fund calcu- lated in part a if you earn only 9% per year during the 20 years preceding re- tirement? dur- c. What effect would an increase in the rate you can earn both during and prior to retirement have on the values found in parts a and b? Explain. retire- d. Now assume that you will earn 10% from now through the end of ment. You want to make 20 end-of-year deposits into your retirement…arrow_forwardK You are saving for retirement. To live comfortably, you decide you will need to save $1 million by the time you are 65. Today is your 21st birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 9%, how much must you set aside each year to make sure that you will have $1 million in the account on your 65th birthday? The amount to deposit each year is $(Round to the nearest dollar)arrow_forward
- I need Finance homework help asap! 5. An investment you are considering is expected to make payments annually forever. The amount of the next payment is expected to be $4.75. Each subsequent payment is expected to increase by 2.9%. Assume that today you buy this investment for $80. What interest rate should you expect to earn annually?arrow_forwardA new investment opportunity for you is an annuity that pays $1,100 at the beginning of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? Select the correct answer. a. $3,141.25 b. $3,130.95 c. $3,120.65 d. $3,110.35 e. $3,100.05arrow_forwardYour insurance agent is trying to sell you an annuity that costs $80,000 today. By buying this annuity, your agent promises that you will receive payments of $445 per month for 30 years. What is the rate of return expressed as an APR on this investment? Multiple Choice O 4.91% 5.32% 4.43% 5.23%arrow_forward
- K You are saving for retirement. To live comfortably, you decide you will need to save $3 million by the time you are 65. Today is your 20th birthday, and you decide, starting today and continuing on every birthday up to and including your 65th birthday, that you will put the same amount into a savings account. If the interest rate is 7%, how much must you set aside each year to make sure that you will have $3 million in the account on your 65th birthday? www The amount to deposit each year is $. (Round to the nearest dollar.)arrow_forwardK You are saving for retirement. To live comfortably, you decide you will need to save $1,400,000 by the time you are 66. Today is your 25th birthday, and you decide, starting today and continuing on every birthday up to and including your 66th birthday, that you will put the same amount into a savings account. If the interest rate is 7%, how much must you set aside each year to make sure that you will have $1,400,000 in the account on your 66th birthday? The amount to deposit each year is $ 6070.27 (Round to the nearest cent.)arrow_forwardSolve earrow_forward
- Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32 What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36 A car dealer offers payment of $525.32 per months for 60 months on a $30,000 car after making a $5000 down payment. What's the loan's APR? a. 10.4798% b. 9.5224% c. 1.9609% d. 0.7935%arrow_forward4arrow_forwardValue of a retirement annuity. Personal Finance Problem An insurance agent is trying to sell you an annuity, that will provide you with $ 14,000 at the end of each year for the next 15 years. If you don't purchase this annuity, you can invest your money and earn a return of 8%. What is the present value of the annuity?arrow_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