Time Value - 2842 Words

Time Value of Money Extra Problem Set 1 1. You are planning to retire in twenty years. Youll live ten years after retirement. You want to be able to draw out of your savings at the rate of $10,000 per year. How much would you have to pay in equal annual deposits until retirement to meet your objectives? Assume interest remains at 9%. [$1254] 2. You can deposit $4000 per year into an account that pays 12% interest. If you deposit such amounts for 15 years and start drawing money out of the account in equal annual installments, how much could you draw out each year for 20 years? [$19964.12] 3. What is the value of a $100 perpetuity if interest is 7%? [$1428.57] 4. You deposit $13,000 at the beginning of every year†¦show more content†¦How much would you have to set aside each year if you could put money away starting now? 14. If you put $5000 in the stock market, how many years would it take you to triple your money if the market is making 12% a year? 15. If the effective annual interest rate is 8.5% per year, what is the nominal annual interest rate under monthly compounding? 16. If you put $10 away at the end of each month for the next 40 years at a 12% simple annual interest rate, how much money would you end up with? What if you started at the beginning of each month? 17. If you borrow $150,000 for a house at 8% simple annual interest rate for 15 years, what is your monthly payment? 18. Referring to question 17, how much interest did you pay over the 15 years? 19. What is the value of a $10,000,000 lottery ticket paid out over 20 years if interest rates are at 6%, the average tax rate is 35%, and the odds of winning are 1/7,000,000? 20. How long would it take to accumulate $50,000 if you started putting $5 in the bank every day starting at the end of today at simple annual interest rate of 7.3%? 21. How long would it take to accumulate $50,000 if you started putting $5 in the bank every month starting now at a simple annual interest rate of 7.3%? What if you started at the end of each month? Answers: 1. 3,558 2. 5,131 3. 952 4. 14.87 5.Show MoreRelatedTime Value of Money712 Words   |  3 Pageswill pay the bank over the life of the loan? $123,945.04 4. What is the effective rate of interest on a CD that has a nominal rate of 7.25 percent with interest compounded monthly? EAR = (1+.0725/12)^12 – 1 = 7.5% 5. What is the future value of $4,950 placed in a saving account for six years if the account pays 3%, compounded quarterly? PV = 4,950 N = 6 x 4 = 24 I =3/4 = .75% Pmt = - FV = $5,922.24 6. Your firm, Vandelay Industries, has just leased a $32,000 BMW for youRead MoreTime Value of Money3904 Words   |  16 PagesTime Value of Money Problems 1. What will a deposit of $4,500 at 10% compounded semiannually be worth if left in the bank for six years? a. $8,020.22 b. $7,959.55 c. $8,081.55 d. $8,181.55 2. What will a deposit of $4,500 at 7% annual interest be worth if left in the bank for nine years? a. $8,273.25 b. $8,385.78 c. $8,279.23 d. $7,723.25 3. What will a deposit of $4,500 at 12% compounded monthly be worth at the end of 10 years? a. $14,351.80 b. $14,851.80 c. $13,997.40 d. $14Read MoreTime Value of Money1028 Words   |  5 PagesAbstract The first steps toward understanding the relationship between the value of dollars today and that of dollars in the future is by looking at how funds invested will grow over time. This understanding will allow one to answer such questions as; how much should be invested today to produce a specified future sum of money? Time Value of Money In most cases, borrowing money is not free, unless it is a fiver for lunch from a friend. Interest is the cost of borrowing money. An interest rateRead MoreTime Value of Money1033 Words   |  5 PagesTime Value of Money (TVM), developed by Leonardo Fibonacci in 1202, is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities. TVM is based on the concept that a dollar today is worth more than a dollar in the future. That is mainly because money held today can be invested and earn interest. A key concept of TVM is that a single sum of money or a series of equal,Read MoreTime Value of Money Analysis1405 Words   |  6 Pages5-42 Integrated Case Time Value of Money Analysis. You have applied for a job with a local bank. As part of its evaluation process, you must take an examination on time value of money analysis covering the following questions: a. Draw time lines for (1) a $100 lump sum cash flow at the end of Year 2; (2) an ordinary annuity of $100 per year for 3 years; and (3) an uneven cash flow stream of -$50, $100, $75 and $50 at the end of Years 0 through 3. (1) 100 0 1 2 100 0 1 2 (2) Read MoreTime Value of Money Essay708 Words   |  3 PagesTime Value of Money Project Show all your work! Name _________________ 1. If Mrs. Beach wanted to invest a lump sum of money today to have $100,000 when she retired at 65 (she is 40 years old today) how much of a deposit would she have to make if the interest rate on the C.D. was 5%? a. What would Mrs. Beach have to deposit if she were to use high quality corporate bonds an earned an average rate of return of 7%. b. What would Mrs. Beach have to deposit if sheRead MoreTime Value11008 Words   |  45 PagesTIME VALUE OF MONEY 1. If you were scheduled to receive Rs 100,000 five years hence, but you wish to sell your contract note for its present value, which type of compounding would you rather have the purchaser of your contract note to use to find the purchase price, 8 percent compounded: (a) (b) (c) (d) (e) Continuously Quarterly Semi-annually Annually None of the above 2. According to the rule of 69, the doubling period is equal to (a) (b) (c) (d) (e) 0.25 + (69/ Interest rate) 0.35 + (69/ InterestRead MoreTime Value of Money2124 Words   |  9 PagesTime Value of Money: Simple Interest versus Compound Interest Outline I. Applications of Time Value of Money 1.1 Example One 1.2 Example Two 2. Interest 2.1 What is Interest? 2.2 Three Variables of Interest 1. Principal 2. Interest Rate 3. Time 2.3 Why is Interest Charged? 3. Simple Interest 3.1 What is Simple Interest? 3.2 Simple Interest Formula 4. Compound Interest 4.1 What is Compound Interest? 4.2 Compound Interest Formula Read MoreTime Value of Money967 Words   |  4 PagesTime Value of Money The time value of money relates to many activities and decision in the financial world. â€Å"Understanding the effective rate on a business loan, the mortgage payment in a real estate transaction, or the true return on an investment depends on understanding the time value of money† (Block, Hirt, 2005). The concept of time value of money helps determine how financial assets are valued and how investors establish the rates of return they demand. Many different types of companiesRead MoreFin U02A2 Time, Value and Money610 Words   |  3 PagesTIME VALUE OF MONEY: ANNUITY CASH FLOWS FIN u02a2 Would you rather have a savings account that paid interest compounded on a monthly basis, or one that compounded interest on an annual basis? Why? Compound interest arises when interest is added to the principal. Therefore, the interest that has been added also earns interest. This addition of interest to the principal is called compounding. If the savings account has $1,000 initial principal and 20% interest per year, the account will have a