# Relationship between present value and time period A decrease in the time period increases the present value factor and What relationship exists between the calculation of the present value of an annuity and. Learn the similarities and differences between the future value vs present is any asset that generates regular payments for a set time period. The Relationship Between Financial Statements · Free Cash Flow. Time Value Of Money; Discounted Cash Flow Valuation; Loans And the future payment amount (\$10,) by the interest rate for the period. how to calculate the time value of money so that you can distinguish between the worth of.

The amount of money in an account of some sort.

### Present value - Wikipedia

The present value of a series of payments that could be payments on a loan or periodic contributions to an account or periodic withdrawals from an account. The present value of the future value of a loan or of an account. If you are talking about a loan, then the Present Value is the amount of the loan.

• The Relationship Between Present and Future Value

This is what the borrower has to pay back to the lender with interest. If you are talking about making contributions to an account, or withdrawing from the account, this is the value of the account at the beginning of the investment period.

## Present value

Sometimes you are given the present value and sometimes you are asked to calculate the present value from either the future value or from the payments. The remaining balance of a loan. The amount of money made by a lender. The amount of money that has been earned on an investment.

### Lesson THE RELATIONSHIP BETWEEN PRESENT VALUE, FUTURE VALUE, AND PAYMENTS

The amount of money remaining in an account after withdrawing from that account. If you are talking about a loan, then: From the perspective of the borrower, the future value of the loan would be the remaining balance on the loan account at the end of the investment period which should be 0 if the loan is fully paid off. In order to calculate this, the payments are made as negative amounts of money to indicate money is being withdrawn from the account. The payments include principal the amount of the loan plus interest charged to the borrower of the loan. From the perspective of the lender, the future value of the loan would be how much the lender made on the loan.

In order to calculate this, the payments are made as positive amounts of money to indicate money is being added to the account. At the end of the investment period the account will contain the principal amount of the loan plus the interest charged to the borrower of the loan plus additional interest earned by re-investing the received payments on the loan at the interest rate of the loan.

If you are talking about an account, then the same person is usually adding to the account or withdrawing from the account. The process is very similar to a loan except the same person is acting as the lender and the borrower.

Sometimes you are given the future value and sometimes you are asked to calculate the future value from the present value or the payments. If the payments are made on a loan, then the payments are made by the borrower and given to the lender. If the payments are made to or withdrawn from an account, then the payments are added into or taken from the account usually by the owner of the account. In the basic financial formulas, each payment is always the same amount of money.

## Lesson THE RELATIONSHIP BETWEEN PRESENT VALUE, FUTURE VALUE, AND PAYMENTS

Payments are made at the beginning of each period of time, or at the end of each period of time. The basic financial formulas assume payments made at the end of each period of time. If payments are to be made at the beginning of each period of time, then special adjustments to the formulas are made to accommodate that requirement.

These are covered in the lessons on each formula. Time preference can be measured by auctioning off a risk free security—like a US Treasury bill. This is because money can be put in a bank account or any other safe investment that will return interest in the future. An investor who has some money has two options: But the financial compensation for saving it and not spending it is that the money value will accrue through the compound interest that he will receive from a borrower the bank account on which he has the money deposited.

Therefore, to evaluate the real value of an amount of money today after a given period of time, economic agents compound the amount of money at a given interest rate.

Most actuarial calculations use the risk-free interest rate which corresponds to the minimum guaranteed rate provided by a bank's saving account for example, assuming no risk of default by the bank to return the money to the account holder on time. To compare the change in purchasing power, the real interest rate nominal interest rate minus inflation rate should be used. Interest rates[ edit ] Interest is the additional amount of money gained between the beginning and the end of a time period.

Interest represents the time value of moneyand can be thought of as rent that is required of a borrower in order to use money from a lender. Alternatively, when an individual deposits money into a bank, their money earns interest. In this case, the bank is the borrower of the funds and is responsible for crediting interest to the account holder. Similarly, when an individual invests in a company through corporate bondsor through stockthe company is borrowing funds, and must pay interest to the individual in the form of coupon payments, dividendsor stock price appreciation. A compounding period is the length of time that must transpire before interest is credited, or added to the total.