Time Value of Money - 712 Words

TVM Assignment 1. $5,500 deposited four years ago has grown to $7,000. What semiannual compounded rate of interest has the bank been paying you? PV = 5,500 N = 4 x 2 = 8 Pmt = - FV = 7,000 I = 3.06% 2. The Costanza Resort borrowed $125,000 from the Ross Bank to pay for a new air conditioning system. The loan is for a period of 5 years at an interest rate of 10% and requires 5 equal end-of-year payments that include both principal and interest on the outstanding balance. What will be the outstanding balance after the third payment? PV = 125,000 N = 5 I = 10% Pmt =$32,974.68 The balance after the third payment will be $57,228.79 FV = - 3. Suppose you have borrowed $170,000 to buy a new home. You†¦show more content†¦You are considering the purchase of a new car. The sticker price is $19,500 and you have $5,000 to put toward a down payment. If you can negotiate a nominal annual interest rate of 6.5% and you wish to pay for the car over a 4-year period, what are your monthly car payments? PV = 19,500 – 5,000 = 14,500 N = 4 x 12 = 48 I = 6.5/12 = .5417 Pmt =$343.86 FV = - 9. Susan just put $11,000 into a new savings account, and she plans to contribute another $18,000 one year from now, and $45,000 two years from now. The savings account pays 4% annual interest. With no other deposits or withdrawals, how much will she have in the account 10 years from today? PV = 11,000 PV =$11,440 + 18,000 = 29,440 PV = 30,617.60 + 45,000 = 70,617.60 I = 4% I = 4 I = 4% N = 1 n = 1 N = 8 Pmt = - pmt = - pmt = - FV = $11,440 FV = $30,617.60 FV = $96,645.06 10. Recently, Jerry and George each bought new cars. Both received a loan from a Chemical bank with a nominal interest rate of 9% where payments are made at the end of each month, and they both pay the same monthly payment. Jerry’s loan is for $17,000; however, his loan matures at the end of 4 years (48 months), while George’s loan matures in 5 years (60 months). After 48 months Jerry’s loan will be paid off, but what will be the remaining balance on George’s loan? Jerry George PV = 17,000 PV = $20,379.26 The remainingShow MoreRelatedTime Value of Money1028 Words   |  5 Pagestoward 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 rate is the cost stated as a percentRead 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 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 MoreTime Value of Money2180 Words   |  9 PagesFinance Ââ€" Time Value of Money We earn money to spend it and we save money to spend it in the future. However, for most people spending money in the present time is more desirable since the future is unknown. We can gratify the desire to spend money today rather than in the future by knowing the basic law in finance Ââ€" time value of money. This means that a dollar today is worth more than a dollar at some time in the future. Unfortunately, people very often want to buy things at the present time whichRead 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 Money5284 Words   |  22 Pages12/9/2012 Chapter 9 The Time Value of Money 1 Chapter 9- Learning Objectives ïÆ' ¼ Identify various types of cash flow patterns (streams) that are observed in business. ïÆ' ¼ Compute (a) the future values and (b) the present values of different cash flow streams, and explain the results. ïÆ' ¼ Compute (a) the return (interest rate) on an investment (loan) and (b) how long it takes to reach a financial goal. ïÆ' ¼ Explain the difference between the Annual Percentage Rate (APR) and the Effective Annual RateRead MoreTime Value of Money2092 Words   |  9 PagesTime Value of Money The time value of money (TVM) or, discounted present value, is one of the basic concepts of finance and was developed by Leonardo Fibonacci in 1202. The time value of money (TVM) is based on the premise that one will prefer to receive a certain amount of money today than the same amount in the future, all else equal. As a result, when one deposits money in a bank account, one demands (and earns) interest. Money received today is more valuable than money received in the futureRead 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 Money and Present Value1154 Words   |  5 Pagescollege 15 years from today and the other will begin 17 years from today. You estimate your children’s college expenses to be $23,000 per year per child, payable at the beginning of each school year. The annual interest rate is 5.5 percent. How much money must you deposit in account each year to fund your children’s education? Your deposits begin one year from today. You will make your last deposit when your oldest child enters college. Assume four years of college Solution: Cost of 1 year atRead 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 she