Essay on Time Value Of Money - 1655 Words

Time Value of Money Time Value of Money To make itself as valuable as possible to stock holders; an enterprise must choose the best combination of decisions on investment, financing and dividends. In any economy in which firms have the time preference, the time value of money is an important concept. Stockholders will pay more for an investment that promises returns over years 1 to 5 than they will pay for an investment that promises identical returns for years 6 through 10. Essentially one must determine if future benefits are sufficiently large to justify current outlays. The development of mathematical tools of the time value of money is important as the first step towards making capital allocating decisions (Malawi, 2008).†¦show more content†¦Compounding is the arithmetic process of determining the final value of a cash flow or series of cash flows when compound interest is applied (Malawi, 2008). The following are the variables used in the mathematical modeling of time value of money: FV = Future value PV = Present value A = Annuity Value i = Interest rate n = Number of periods As an example, what is better, investing a $100 per month or investing $1200 once a year for the next 20 years at an interest rate of 5%? Using the future value of annuity relationship, FVa = A *[ ], one finds that saving on a monthly basis gains us ($41,009-$39,679) $1,330.0 after 20 years. Table 1, Example of annuity earnings for $1,000.0 (Block Hirt, ch9 p242) Even better would be to invest the whole amount up front as an asset with interest compounded annually: = Original Investment x (1+interest rate)^number of years (Investopedia ULC, 2008) and let it set for 20 years as demonstrated in table 2. Where: FV = PV (1 + i)n i = interest rate = 5% = 0.05 n = number of years = number of periods = 20. PV = $24,000 Table 2, $24,000 compounded over a 20 year period. First Year $24000.00 x 1.05 = $25200.00 Second Year $25200.00 x 1.05 = $26460.00 Third Year $26460.00 xShow 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 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 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 at