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 6QP
Calculating
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4.13 Calculating Annuity Present Value An investment offers $5,200 per year for 15 years, with the first payment occurring one year from now. If the required return is 7 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever?
8
[Question text] You are considering to invest in a savings plan. The plan offers a rate of return of 8 percent per year. The plan requires you to save RM1,500, RM1,250, and RM6,400 at the end of each year for the next three years, respectively, how much do you need to save today?
Select one:
A. RM7,541
B. RM7,203
C. RM8,449
D. RM11,623
●
An investment will provide you with $100 at
the end of each year for the next 10 years.
What is the present value of that annuity if
the discount rate is 8% annually?
• What is the present value of the above if the
payments are received at the beginning of
each year?
• If you deposit those payments into an
account earning 8%, what will the future
value be in 10 years?
• What will the future value be if you open the
account with $1,000 today, and then make
the $100 deposits at the end of each year?
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- QUESTION ONE We sometimes need to find out how long it will take a sum of money (or anything else to grow to some specified amount. For example, if a company's sales are growing at a rate of 20% per year, how long will it take sales to double? If you want an investment to double in 3 years, what interest rate must it earn? What is the difference between an ordinary annuity and an annuity due?arrow_forwardInterest rate with annuity. What are you getting in terms of interest rate if you are willing to pay $11,000 today for an annual stream of payments of $2,200 for the next 20 years? The next 40 years? The next 100 years? Forever? .... What are you getting in terms of interest rate if you are willing to pay $11,000 today for an annual stream of payments of $2,200 for the next 20 years? % (Round to two decimal places.)arrow_forwardAn investment opportunity promises to pay $5,500.00 per year forever starting ten years from today. Assuming the interest rate of 7%, what should I pay today for this investment? $47,737.65 $58,194.98 $42,956.71 $30,111.39arrow_forward
- What is the most you would be willing to pay for an annuity that provides you with $13,700 at the end of each year for 3 years? Assume that similarly risky opportunities are offering you a return of 5.5% upon investment. $25,294.58 $38,994.58 $43360.50 $36,961.69 $48,020.56arrow_forward7. With a present value of $135,000, what is the size of the withdrawals that can be made at the end of each quarter for the next 10 years if money is worth 6.4% compounded quarterly? 12/2/2022 If $88,000 is invested in an annuity that earns 5.8% compounded quarterly, what payments will it provide at the end of each quarter for the next 5 years? C01120- Chapter 2: Mathematics of finance TCLarrow_forwardWhat is the value today of a money machine that will pay $1,507.00 per year for 10.00 years? Assume the first payment is made today and that there are 10.0 total payments. The interest rate is 7.00%.arrow_forward
- Value of a retirement annuity. Your bank manager has informed you about a new investment plan that will provide you with $5,000 at the end of each of the next 20 years. If you have an opportunity to earn a guaranteed return of 6%, what is the most you would pay for this annuity right now?Thank you.arrow_forward5. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the beginning of every six months You bought an annuity selling at $17,390.08 today that promises to make equal payments at the beginning of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 5.00% during this time, then the value of the annual annuity payment (PMT) is . You just won the lottery. Congratulations! The jackpot is $60,000,000, paid in eight…arrow_forwardExample 2.14: Calculating the present value of an annuity due at 12% An investor wants to buy an annuity of R100 for the next three years, each instalment being paid at the beginning of the year. If a bank is prepared to pay interest at 12%, how much must be invested today? It can be seen that the amount will be invested and the first instalment will immediately be repaid. It can be illustrated as shown in Table 2.6. value of an annuity due at 12%arrow_forward
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