Time 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
5. Compound Interest Tables 1. Future Value of $1 2. Present Value of $1 3. Present Value of an Ordinary Annuity of $1 4. Present Value of an Annuity due 5. Present Value of a Deferred Annuity
6. Conclusion
7. References
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Metal loans were based on weight. Before the concept of money came in existence, loans of grain and silver served as a bargaining tool to facilitate trade. Silver was used in town and grain was used in the country. Under the laws of usury, the collection of interest was forbidden. Today, interest rates are very closely watched market indicators. Interest rates have a dramatic effect on finance and economics.
Interest
As we discussed earlier, after investing $100 in a savings account at your local bank yielding 6% annually, you will have $106. The $6 earned is the interest on the initial deposit of $100. Interest is the “rent” paid for the use of money for some period of time, (Spiceland, Sepe, Nelson, pp. 322). Interest is also a surcharge on the repayment of borrowed money, the return derived from an investment, or the right to claim in a corporation such as that of creditor or owner. When we borrow money, interest is typically paid to the lender as a percentage of the principal or the amount owed to the lender, so, the larger the principal, the larger the dollar amount of principal. The interest rate is the percentage of the principal that is paid as a fee over a certain period of time (typically one month or year). If interests are high, the larger the amount of interest received. And the longer the funds remain in an account, the larger the dollar amount of interest. Because the bank is using the deposited funds, the
An interest rate is the portion of the loan charged to a borrower. The interest rate is usually expressed as an Annual Percentage Rates or APR. A lower interest rate is better for a person receiving a loan because you don’t have to pay back a lot of money that you never got to use. That seems like common sense, right? For example, people would rather pay a credit union’s average APR of 2.64% than a bank’s traditional 4.78%
In standard economics, the rate of interest is determined by the market for loanable funds, funds available for borrowing. The supply of loanable funds comes from savings and from money creation. Savings is defined as income minus spending for consumption. Time preference is a general tendency rather than a universal absolute; hence, some people with a strong concern for their future would save funds even at an interest rate of zero. With a higher rate of interest, more people are willing to save funds, so at some quantity of saved funds, the supply curve of savings rises with higher rates of real
In the world of finance and financial services, banking has been around longer than any other segment of that world. For more than two millenniums, bankers have served as “money changers” who aided people in exchanging foreign for local currencies. As this practice grew and many began to throw their funds into the banking system, the services that banks performed multiplied. Loans were granted and bankers collected interest. Most of
It was one of the earliest monetary policies to institute the circulation of paper money on a national level. Customers would deposit their gold coins for storage into a bank for a small fee. In return, they received bank receipts, which were then used as paper money in place of valuable elements like gold. The idea of using bank notes as paper money quickly gained popularity because they were, of course, much easier and more convenient to transport and exchange than heavy gold coins.
There is nothing as influential and powerful as the concept of money. As a medium for exchange, money is value given or received in exchange for anything of value. Because money stands in place for value, why is it that gold has been the scale for evaluating money throughout history? Ted Cruz, in a Republican Presidential Debate, answered a question regarding monetary policy. He thinks “the Fed should get out of the business of trying to juice our economy and simply be focused on sound money and monetary stability, ideally tied to gold” (Cruz 2015). Cruz aligns “sound money” to gold because gold stabilizes pricing and reduces inflation percentages over the long run. The problem with
Monetary values have changed throughout history because problems presented in each system of commerce. Bartering was among the earliest forms of commerce to present a problem. It did not establish monetary value in anything specific, allowing an individual’s wants or needs to be deemed monetary values. Each seller could make exchange requests based on different things. For example, a starving man could deem grain a commodity if he only manufactures luxury goods. Based on his hunger, the starving man can request to make an exchange of his luxury good with farmers for grain. Given that luxury goods are not a necessity, nor desired by everyone, the farmers can refuse his offer. The man would have to barter with a third party to acquire whatever the farmers were willing to make an exchange for. Inconsistent commodities in bartering made transactions inefficient because it could require multiple exchanges. Standards were established to combat the inefficiency of bartering through establishing value in one set commodity that all would accept. With a standard, the man could obtain grain directly from the farmers because it is mandated that the standard be accepted as debt payment. Therefore, it is more efficient to have a standard which only requires one transaction than to barter. For a matter of convenience, value transferred from virtually any object to specific resources. A common resource used for standards is metal. In early empires and recent nations, gold and/or silver
Interest rate is the percentage of the loan that is charged as interest. The interest rate is determined by 3 factors. The first is the rate that the Federal Reserve bank charges the banks. The second aspect that determine the interest rates is the demand and supply of bonds and treasury notes. Finally, the third aspect of the interest rate is determined by the bank. The bank sets the rate according to their needs.
The one item that people obsess about day in and day out is money. Our currency runs the world and the choices we make. However, before the standard federal reserve notes, gold was used in exchange for goods. The gold standard was created, but then it was abandoned; it is still debated today whether or not the gold standard will ever return.
So many want to abolish usury or the interest rate due to thoughts of unfairness or evil furthering the root of all evil. So many ancient philosophers thought of such practices as unlawful and inhibiting by making the rich richer and the poor, well you know the term.
Time 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.
The purpose of this report is to discuss the time value of money, and illustrate that I understand the concept. First, there will be an explanation of the key concepts of time value of money, including why it is important to know what these concepts are and how they are applied to the real world. The report will also contain several calculations made using present and future value tables. The calculations illustrate that not only do I understand the concepts but that I can apply them to mathematical computations.
First we need to get the present value of the annuity for the 1,500 semiannual PMTs at year 14
What is time value of money? The simple answer towards this question is that the same amount of money will have different value at different time. By this definition money is separated into its nominal value, which is the face amount, and the real value, which is the purchasing power of the money. The real reason here is that inflation exists, therefore when the price of a good goes up the same amount of money that was previously require to buy that good will not be able to buy that same good after the price increase. “Time value of money is the principle that the purchasing power of money can change over time” (Crosson S.V. 2008)
Interest is the fee paid for borrowing money. Most individuals or business owners pay simple interest on a short-term loan, which is usually a loan of up to 1 year. The amount of interest charged by a bank depends on three factors: