18 June 2022 7:06

What is the formula to calculate loans at variable rates and what is the function of PV (present value) in calculations?

How do you calculate the present value of a loan?

= 1 r − 1 ( 1 + r ) n 1 r = 1 r ( 1 − 1 ( 1 + r ) n ) . Thus, at a monthly interest rate of 0.5%, paying $1 per month for 360 months produces a present value M of 1 0.005 ( 1 − 1 ( 1.005 ) 360 ) = $ 166.79 . Therefore, to borrow $100,000, one would have to pay $ 100 , 000 $ 166.79 = $599 .

What is rate in PV function?

The PV function syntax has the following arguments: Rate Required. The interest rate per period. For example, if you obtain an automobile loan at a 10 percent annual interest rate and make monthly payments, your interest rate per month is 10%/12, or 0.83%.

How do you use PV function?

The built-in function PV can easily calculate the present value with the given information. Enter “Present Value” into cell A4, and then enter the PV formula in B4, =PV(rate, nper, pmt, [fv], [type], which, in our example, is “=PV(B2,B1,0,B3).” Since there are no intervening payments, 0 is used for the “PMT” argument.

How do you use the PV function in Excel for bonds?


Quote: So we'll use our same present value formula equals the present value. And then we'll enter our data which is going to be the rate first which is point one ten percent divided by two comma.

How do you calculate present value example?

Example of Present Value

  1. Using the present value formula, the calculation is $2,200 / (1 +. …
  2. PV = $2,135.92, or the minimum amount that you would need to be paid today to have $2,200 one year from now. …
  3. Alternatively, you could calculate the future value of the $2,000 today in a year’s time: 2,000 x 1.03 = $2,060.


How do you calculate PV and FV interest in Excel?

Excel RATE Function

  1. Summary. …
  2. Get the interest rate per period of an annuity.
  3. The interest rate per period.
  4. =RATE (nper, pmt, pv, [fv], [type], [guess])
  5. nper – The total number of payment periods. …
  6. The RATE function returns the interest rate per period of an annuity.


Where is the PV function in Excel?

Quote:
Quote: Let's see how the PV function can be used in Microsoft Excel. Open the desired Excel worksheet. Here for demo purpose. We are using a worksheet according to the PV. Function. Please check the web URL.

How do you calculate the present value factor?

Also called the Present Value of One or PV Factor, the Present Value Factor is a formula used to calculate the Present Value of 1 unit n number of periods into the future. The PV Factor is equal to 1 ÷ (1 +i)^n where i is the rate (e.g. interest rate or discount rate) and n is the number of periods.

What does PV mean in math?

present value

The present value or PV is the initial amount (the amount invested, the amount lent, the amount borrowed, etc). The future value or FV is the final amount.

How do I calculate a loan amount in Excel?

Calculate original loan amount

  1. rate – The interest rate per period. We divide the value in C5 by 12 since 4.5% represents annual interest:
  2. nper – the number of periods comes from cell C7, 60 monthly periods in a 5 year loan.
  3. pmt – The payment made each period. This is the known amount $93.22, which comes from cell C6.


How do you calculate PV with different payments in Excel?

Quote:
Quote: So the present value of multiple future cash flows is going to be the sum of the present values of each cash flow. So equals sum that's the sum formula.

What is the formula for calculating the present value of a bond?

The present value of a bond is calculated by discounting the bond’s future cash payments by the current market interest rate. In other words, the present value of a bond is the total of: The present value of the semiannual interest payments, PLUS. The present value of the principal payment on the date the bond matures.

How do you calculate present value and future value?

The present value formula is PV = FV/(1 + i) n where PV = present value, FV = future value, i = decimalized interest rate, and n = number of periods.

How do you calculate the present value of a bond using BA II Plus?

Quote:
Quote: So what we have to do is take that coupon rate times the par value or face value of $1,000 to see how much interest this bond will pay every year so 8% times a thousand as $80. So we hit 80.

How do you calculate mortgage on BA II Plus?

Quote:
Quote: For number of payments. We need to multiply number of years by the p value value we can use the payment multiplier enter number of years 30 and press 2nd n to multiply it by py.

What is P1 and P2 in financial calculator?

P1 is displayed. This is the number of the first payment in a range of payments. 1.00 represents the first payment. 2) Press the down arrow key once to display P2.

What is P Y on BA II Plus?

The BA II Plus defaults to 12 payments per year (P/Y) and 12 compounding periods per year (C/Y). You can change one or both of the settings to any number.

What is P Y and C Y?

P/Y stands for payments per year, and C/Y for compounding periods per year. For BA II Plus, the defaults for P/Y and C/Y are 12. That is, 12 payments per year and 12 compounding periods per year. To set both P/Y and C/Y to be the SAME number such as 1 (one payment per year and.

How do you calculate PV of an annuity using BA II Plus?

Quote:
Quote: Here's working we're going to use the BA 2 plus to calculate the present value of an ordinary annuity. In this case we have a three year ordinary annuity. With 3 100 dollar cash flows occurring.