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PVIF = 1/(1+r)^n where r is the rate (in decimal form) and n is the number of periods

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How do you derive PVI formula?

The present value interest factor (PVIF) is derived using the formula: PVIF = 1 / (1 + r)^n. This formula calculates the value of $1 received in the future discounted back to its present value using the interest rate (r) and number of periods (n).


Is the present value interest factor always negative?

No, the present value interest factor (PVIF) is not always negative; in fact, it is typically a positive value. The PVIF is calculated using the formula ( PVIF = \frac{1}{(1 + r)^n} ), where ( r ) is the interest rate and ( n ) is the number of periods. Since both ( (1 + r) ) and ( n ) are positive, the PVIF itself is also positive, representing the present value of future cash flows.


What is the formula for Present Value Interest Factor?

Present Value Interest Factor, abbreviated as PVIF and is used to simplify present value computations, may be computed as follows: PVIF = 1 / ( ( 1 + r) ^ t) where... r = interest discount rate t = number of periods


What is the formula for calculating Equated annual Instalment?

Equated Annual Installment = Loan Amount/PVIF(Interest&Time Period) Ex : Loan Amount Rs. 5,00,000 Interest Rate 8% Time period 5 equal instalments The Answer will be EAI = 5,00,000/PVIF(8%.5) This Implies EAI = 5,00,000/3.9927 The Answer will be EAI = 1,25,228.20


If you purchase a zero coupon bond today for 225 and it matures at 1000 in 11 years what rate of return will you earn on that bond to the nearest 10th of 1 percent?

Po =I (PVIFA kdn) + M(PVIF kdn) = $225 = $ 1,000 (PVIF) note 1 = 0 since this is a zero coupon bond. (PVIFkd, ) =0.317


When do you use pvifa and fvifa?

FVIFA is used in the following situations: a. What will be the accumulated savings if the annual savings is Rs.X for a given period? b. How much should we save annually to get a lump sum amount after a certain period of time? c. For redemption of debentures, how much should a firm deposit annually in sinking fund account to accumulate the redemption amount? PVIFA is used in the following situations: a. How much should i borrow for a particular EMI? b. How to calculate loan amortization schedule? c. How much should we invest for a certain period of time in order to make systematic withdrawal every month/year?


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