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Financial function

PV

Returns the present value of a series of equal payments.

CommonDifficulty 1350 · AdvancedUsage rank #83 of 520
Practice · 12 questions →

When to use it

The present value of a series of equal payments, or of a single future amount, at a constant rate. What a stream of money is worth today.

The shape of it

Syntax
=PV(rate, nper, pmt, [fv], [type])

Worked examples

  • Loan from a payment

    =PV(0.06/12,360,-1498.88) 250,000.28

    The loan a 1,498.88 payment supports; rounding in the payment explains the 28 cents.

  • Discount a single amount

    =PV(0.05,10,0,-10000) 6,139.13

    10,000 received in ten years, discounted at 5%.

  • Value of an annuity

    =PV(0.08,20,-50000) 490,907.37

    Twenty annual payments of 50,000 at 8%: the lump sum equivalent.

Worth knowing

  • Enter payments as negative to get a positive present value.
  • NPV handles uneven cash flows; PV needs equal ones.
  • Lease versus buy: PV of the lease payments against the price.

Where it goes wrong

  • Sign confusion produces negative present values.
  • Rate per period must match nper.

Related

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