# What is the future value of a single sum?

## What is the future value of a single sum?

Future value of an single sum of money is the amount that will accumulate at the end of n periods if the a sum of money at time 0 grows at an interest rate i. The future value is the sum of present value and the total interest.

## What is the formula of calculating future value?

The future value formula is FV=PV(1+i)n, where the present value PV increases for each period into the future by a factor of 1 + i. The future value calculator uses multiple variables in the FV calculation: The present value sum.

How do you calculate present value and future value of a single amount give formula?

Present value = Factor x Accumulated amount For example, if we want to use the table to determine the present value of \$15,000 to be received at the end of 5 years (compounded annually at 12%), we simply look down the 12% column and multiply that factor by \$15,000.

### How do you find the future value of a lump sum?

How do you compute the future value of a lump-sum amount and an annuity?

1. Fn = P(1+i)n
2. Note − the compound value of a lump-sum goes up with time.
3. Note − Annuity occurs when the borrower makes a series of payments that come down with a passing period of time.

### What is the future value of \$1000 in 5 years at 8?

Answer and Explanation: The future value of a \$1000 investment today at 8 percent annual interest compounded semiannually for 5 years is \$1,480.24. See full answer below.

How do I calculate the future value of a single payment in Excel?

pv is the present value of the investment; rate is the interest rate per period (as a decimal or a percentage);…Using the Excel FV Function to Calculate the Future Value of a Single Cash Flow.

A B
1 Present Value: 10000
2 Annual Interest Rate: 4%
3 Number of Years: 5
4 Future Value: =FV( 4%, 5, 0, 10000 )

## What is the future value of 100 at 10 percent simple interest for 2 years?

\$120
Answer: If the Interest Rate is 10 Percent, then the Future Value in Two Years of \$100 Today is \$120.

## How do you calculate the future value of an ordinary annuity?

The two basic annuity formulas are as follows:

1. Ordinary Annuity: FVA = PMT / i * ((1 + i) ^ n – 1)
2. Annuity Due: FVA = PMT / i * ((1 + i) ^ n – 1) * (1 + i) n = m * t where n is the total number of compounding intervals. i = r / m where i is the periodic interest rate (rate over the compounding intervals)

How do you calculate the future value of an annuity?

The formula for the future value of an ordinary annuity is F = P * ([1 + I]^N – 1 )/I, where P is the payment amount. I is equal to the interest (discount) rate. N is the number of payments (the “^” means N is an exponent). F is the future value of the annuity.

### How do you find the future value of a series of cash flows?

The future value of a single cash flow is its value after it accumulates interest for a number of periods. The future value of a series of cash flows equals the sum of the future value of each individual cash flow.

### What is the future value of \$10000 on deposit for 5 years at 6% simple interest?

\$13,000
Summary: An investment of \$10000 today invested at 6% for five years at simple interest will be \$13,000.

What is future value of an annuity?

The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity’s future value.

## What is future value of annuity example?

The future value of any annuity equals the sum of all the future values for all of the annuity payments when they are moved to the end of the last payment interval. For example, assume you will make \$1,000 contributions at the end of every year for the next three years to an investment earning 10% compounded annually.

## What is the future value of \$10000 in 8 years at 8% compounded quarterly?

\$10,824
The annual interest rate is restated to be the quarterly rate of i = 2% (8% per year divided by 4 three-month periods). The present value of \$10,000 will grow to a future value of \$10,824 (rounded) at the end of one year when the 8% annual interest rate is compounded quarterly.

What’s the future value of a 5% 5 year ordinary annuity that pays \$800 each year if this was an annuity due What would its future value be?

Answer and Explanation: Therefore, the future value of the ordinary annuity is \$3,315. Therefore, the future value of an annuity due is \$3,481.

### What is the future value of a 5 year ordinary annuity?

\$1,000
A 5-year ordinary annuity has a future value of \$1,000. If the interest rate is 8 percent, the amount of each annuity payment is closest to which of the following? 4. An 8-year annuity due has a future value of \$1,000.

### How do you find the present value of a single cash flow?

Present value of a single cash flow refers to how much a single cash flow in the future will be worth today. The present value is calculated by discounting the future cash flow for the given time period at a specified discount rate.

• October 2, 2022