FUND OF CORP FIN >CUSTOM<
11th Edition
ISBN: 9781308616384
Author: Ross
Publisher: MCG/CREATE
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Chapter 6, Problem 7QP
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?
10. You would like to have enough money saved to receive a growing annuity for 25 years, growing at a rate of 4 percent per year, with the first payment of $60,000 occurring exactly one year after retirement. How much would you need to save in your retirement fund to achieve this goal? The interest rate is 12 percent.
A. $1,500,000.00B. $632,390C. $452,165D. $1,043,287
8. How much do you need to save at the end of each year to receive 100 million in 10 years? The interest rate is 10%
Chapter 6 Solutions
FUND OF CORP FIN >CUSTOM<
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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- 7How much more is a perpetuity paying $5000 at the end of year worth than an annuity paying the same annual amounts at the end of each year for 30 years? Assume an interest rate of 5%. a. $10,635.08 b. $21,976.29 c. $50,000.00 d. $23,137.74 8Miller's Hardware plans on saving $40,000, $50,000, and $58,000 at the end of each year for the next three years, respectively. How much will the firm have saved at the end of the three years if it can earn 6% by reinvesting its saving? a. $155,944.00 b. $169,004.13 c. $148,000.00 d. $148,078.15 9On the day you retire you have $500,000 saved. You expect to live another 30 years during which time you expect to earn 8% on your savings while inflation averages 3.5% annually. Assume you want to spend the same amount each year in real terms and die on the day you spend your last dime. What real amount will you be able to spend each year? a. $61,931.78 b. $79,211.09 c. $79,644.58 d. $30,695.77arrow_forwardInterest rate with annuity. What are you getting in terms of interest rate if you are willing to pay $10,000 today for an annual stream of payments of $2,300 for the next 10 years? The next 20 years? The next 50 years? Forever? What are you getting in terms of interest rate if you are willing to pay $10,000 today for an annual stream of payments of $2,300 for the next 10 years? nothing% (Round to two decimal places.) What are you getting in terms of interest rate if you are willing to pay $10,000 today for an annual stream of payments of $2,300 for the next 20 years? nothing% (Round to two decimal places.) What are you getting in terms of interest rate if you are willing to pay $10,000 today for an annual stream of payments of $2,300 for the next 50 years? nothing% (Round to two decimal places.) What are you getting in terms of interest rate if you are willing to pay $10,000 today for an annual stream of payments of $2,300 forever? nothing%…arrow_forward2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?arrow_forward
- If you invest 5000 dollars today at a compound interest rate of 9 percent, what will be its future value after 30 years? (CVIF9,30 = 13.268)Select one:a. 66,340 dollars. b. 65,000 dollars.c. 18,500 dollars.d. 60,000 dollars.e. 1,350,000 dollarsarrow_forwardQuestion 8 Suppose a 65-year-old is contemplating retirement, expects to live for another 20 years, has a GHȼ1 million nest egg, expects the investments to earn a nominal annual rate of 6%, expects inflation to average 3% per year, and wants to withdraw a constant real amount annually over the next 20 years so as to maintain a constant standard of living. If the first withdrawal is to be made today, what is the amount of that initial withdrawal?arrow_forward9. How long does it take for your money to grow to ten times its original value if the interest rate of 5% per year? Use excel.arrow_forward
- 5. How much would you pay today for a perpetuity of $ 1,000 per year if the prevailing interest rate is 5.25%?arrow_forwardQ1 a) you want to buy an ordinary annuity that will pay you $4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. What is maximum price you would willing to pay for the annuity b) Find the future value of amount 100 if interest rate is 10% and number of years is 10arrow_forwardNow let’s pretend that we buy an annuity at the age of 70 with how much money we have in total from our index fund investing. Use this number: $1,188,506.12 Let’s buy a twenty year annuity that pays us 5% APR compounded monthly. 4. How much money will we get paid each month? 5. How much money in total will we get paid back? 6. How much interest will we make from the annuity?arrow_forward
- An investor is considering an annuity that pays $40,000 per year for four years. 1. Assuming the first $40,000 is paid in a years time given a discount rate of 4% what should the investor pay for this annuity today? 2. Assuming the first $40,000 is paid out immediately what should the investor pay today? (Asssume same discount rate). 3. If the investor pays $130,000 today and assuming the first paymentarrives in a years time, what would this investment’s internal rate of return be? (Asssume same discount rate). 4. What would the investor pay today if the first payment arrived in 5years time? (Asssume same discount rate). 5. If the investor invests $40,000 per year at the end of the next 4 years what would this be worth in 4 years time? (Asssume same discount rate).arrow_forwardYou want to have $3.5 million in real dollars in an account when you retire in 50 years. The nominal return on your investment is 8 percent and the inflation rate is 3.5 percent. What real amount must you deposit each year to achieve your goal? A. $20,569.90 B. $6,100.00 C. $21,598.40 D. $21,392.70 E. $19,541.41arrow_forward2 a) Suppose you receive $10,000 and have an opportunity to earn a real rate of return of 10% (assume known and constant forever). Using the definition of income proposed by John Hicks, what is your annual sustainable income? In other words, what amount can you spend every year forever? b) What is the present value of an annual payment of $10,000 forever, assuming a 5% real discount rate? $9,523.80 $200,000 Infinite $10,000arrow_forward
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