What is the present value of $6811 to be received in one year if the discount rate is 6.5 percent?

Assume an annuity will pay $1000 a year for five years with the first payment occurring in year 4, that is, four years from today. When you compute the present value of that annuity using the PV formula, the PV will be as of which point in time?

The net present value of a project is equal to the:

Present value of the future cash flows minus the initial cost.

The interest rate charged per period multiplied by the number of periods per year is called the _______ rate.

Kay owns two annuities that will each pay $500 a month for the next 12 years. One payment is received at the beginning of each month while the other is received at the end of each month. At a discount rate of 7.25%, compounded monthly, what is the difference in the present values of these annuities?

$289.98

=pv(0.0725/12,12*12,-500,,0)
=pv(0.0725/12,12*12,-500,,1)

35 years ago, your father invested $2000. Today that investment is worth $98,407. What annual rate of return has been earned on this investment?

11.77%

=rate(35,,-2000,98407)

What is the PV of $6811 to be received in one year if the discount rate is 6.5%?

$6395.31

=PV(0.065,1,,6811)

Leo received $7500 today and will receive another $5000 two years from today. If he invests these funds immediately at 11.5%, what will his investments be worth 5 years from now?

$19,856.13

=FV(0.115,2,,-7500)+5000

then

=FV(0.115,3,,-$14,324.19 )

Theo is depositing $1300 today in an account with an expected rate of return of 8.1%. If he deposits an additional $3200 two years from today, and $4000 three years from today, what will his account balance be ten years from today?

$15,699.54

=FV(0.081,2,,-1300)+3200
=FV(0.081,1,,-4719.13)+4000
=FV(0.081,7,,-9101.38)

Denise will receive annual payments of $10,000 for the next 25 years. The discount rate is 6.8% What is the difference in the PV of these payments at the beginning of each year rather than at the end of the year?

$8069.29

=PV(0.068,25,-10000,,1)
=PV(0.068,25,-10000,,0)

subtract

Uptown Industries just decided to save $3000 a quarter for the next 3 years. The money will earn 2.75%, compounded quarterly, and the first deposit will be made today. If the company had wanted to deposit one lump sum today, rather than make quarterly deposits, how much would it have had to deposit to have the same amount saved at the end of the 3 years?

$34,678.35

=PV(0.0275/4,3*4,-3000,,1)

Taylor's Hardware offers credit at an APR of 14.9% and compounds interest monthly. What actual rate of interest are they charging?

Shawn has $2500 invested at a guaranteed rate of 4.35% compounded annually. What will his investment be worth after 5 years?

$3,093.16

=FV(0.0435,5,,-2500)

Starting today, Alicia is going to contribute $100 a month to her retirement account. Her employer matches her contribution by 50%. If these contributions remain constant, and she earns a monthly rate of .55%, how much will her savings be worth 40 years from now?

$354,087.88

=FV(0.0055,40*12,-150,,1)

What is the present value of $100 received in one year?, If the appropriate interest rate is 10 percent, then the present value of $100 spent or earned one year from now is $100 divided by 1.10, which is about $91.

Furthermore, What is the relationship between the discount rate and the present value?, Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.

Finally,  What is the present value calculator?, Calculator Use

The present value formula is PV=FV/(1+i)n, where the future value FV is divided by a factor of 1 + i for each period between present and future dates. The present value calculator uses multiple variables in the PV calculation: The future value sum. Number of time periods, typically years.

Frequently Asked Question:

How do you calculate present value?

The present value formula is PV=FV/(1+i)n, where the future value FV is divided by a factor of 1 + i for each period between present and future dates. The present value calculator uses multiple variables in the PV calculation: The future value sum. Number of time periods, typically years.

How do you calculate PV on a calculator?

PV = FV * [ 1 / (1+r)n ]

  1. PV = FV * [ 1 / (1+r)n ]
  2. PV = 5500 * [ 1 / (1+8%) 2 ]
  3. PV = Rs. 4715.

What is present value and how is it calculated?

This accounting term calculates the current value of a financial asset that will be available at a specified later date, at an exact rate of financial return. For example, the present value of $1,100 that you’ll earn one year from today at a 10% rate of return is $1,000.

What is Present Value example?

Present value is the value right now of some amount of money in the future. For example, if you are promised $110 in one year, the present value is the current value of that $110 today.

What happens to a present value as you increase the discount rate?

5. What happens to a present value as you increase the discount rate? The present value gets smaller as you increase the discount rate.

How do you find the present value of a discount rate?

Formula for the Discount Factor

NPV = F / [ (1 + r)^n ] where, PV = Present Value, F = Future payment (cash flow), r = Discount rate, n = the number of periods in the future).

Why does a higher discount rate mean a lower present value?

Because cash flow in the future carries a risk that cash today does not, we must discount future cash flow to compensate us for the risk we take in waiting to receive it. … A higher discount rate implies greater uncertainty, the lower the present value of our future cash flow.

What is the discount rate in NPV?

It’s the rate of return that the investors expect or the cost of borrowing money. If shareholders expect a 12% return, that is the discount rate the company will use to calculate NPV. If the firm pays 4% interest on its debt, then it may use that figure as the discount rate.

How do I calculate present value?

The present value formula is PV=FV/(1+i)n, where the future value FV is divided by a factor of 1 + i for each period between present and future dates. The present value calculator uses multiple variables in the PV calculation: The future value sum. Number of time periods, typically years.

Is the present value of $100 received a year from today greater or less than $100?

To put it another way, the present value of receiving $100 one year from now is less than $100. Accountants use Present Value (PV) calculations to account for the time value of money in a number of different applications.

How do you calculate PV on a calculator?

PV = FV * [ 1 / (1+r)n ]

  1. PV = FV * [ 1 / (1+r)n ]
  2. PV = 5500 * [ 1 / (1+8%) 2 ]
  3. PV = Rs. 4715.

What is present value and how is it calculated?

This accounting term calculates the current value of a financial asset that will be available at a specified later date, at an exact rate of financial return. For example, the present value of $1,100 that you’ll earn one year from today at a 10% rate of return is $1,000.

How do you calculate present value?

The present value formula is PV=FV/(1+i)n, where the future value FV is divided by a factor of 1 + i for each period between present and future dates. The present value calculator uses multiple variables in the PV calculation: The future value sum. Number of time periods, typically years.

What is meant by present value?

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.

What is NPV and how it is calculated?

It is calculated by taking the difference between the present value of cash inflows and present value of cash outflows over a period of time. As the name suggests, net present value is nothing but net off of the present value of cash inflows and outflows by discounting the flows at a specified rate.

How do you calculate present value on a calculator?

How to calculate present value

  1. Determine the future value. In our example let’s make it $100 .
  2. Determine a periodic rate of interest. Let’s say 8% .
  3. Determine the number of periods. Let’s make it 2 years .
  4. Divide the future value by (1+rate of interest)^periods.

What is PV on financial calculator?

Present Value (PV) This is the present value (PV) of payments (PMT) and any amount saved in the future value (FV). When you calculate the present value the payment (PMT), number of periods (N), interest rate per period (i%) and future value (FV) are used.

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How do you find the present value of a discount rate?

The present value of a cash flow (i.e. the value of future cash in today's dollars) is calculated by multiplying the cash flow for each projected year by the discount factor, which is driven by the discount rate and the matching time period.

What is a discount rate in NPV?

It's the rate of return that the investors expect or the cost of borrowing money. If shareholders expect a 12% return, that is the discount rate the company will use to calculate NPV. If the firm pays 4% interest on its debt, then it may use that figure as the discount rate.

What is meant by discount rate?

The discount rate is the interest rate charged to commercial banks and other financial institutions for short-term loans they take from the Federal Reserve Bank. The discount rate refers to the interest rate used in discounted cash flow (DCF) analysis to determine the present value of future cash flows.

How do you use discount rate?

To apply a discount rate, multiply the factor by the future value of the expected cash flow. For example, if you expect to receive $4,000 in one year and the discount rate is 95 percent, the present value of the cash flow is $3,800.