Financial
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Intermediate
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PV Formula in Excel - Calculate Present Value & Loan Principal

Calculate the present value of an investment or loan based on periodic payments and interest rate with the PV function in Excel....

Quick Start

Syntax

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

Parameters

rate - Required. Interest rate per period (annual rate ÷ 12 for monthly)

nper - Required. Total number of payment periods

pmt - Required. Payment made each period (use negative for outflows)

fv - Optional. Future value (default: 0)

type - Optional. 0=payment at end, 1=payment at beginning (default: 0)

Simplest Example

ABC
1PaymentRateTerm
2$2,0004.5%30 years
3
4Loan Amount:
=PV(B2/12, C2*12, -A2)
$394,478

Quick Reference

Basic Loan Principal
=PV(4.5%/12, 360, -2000)

Monthly payment $2,000 for 30 years at 4.5%

=PV(0.375%, 360, -2000) → $394,478

Annuity Valuation
=PV(5%, 20, -100000)

Annual $100K payments for 20 years at 5%

=PV(5%, 20, -100000) → $1,246,221

Lease vs Purchase
=PV(8%/12, 36, -1500)

$1,500/month lease for 36 months at 8%

=PV(0.667%, 36, -1500) → $48,135

Investment with Future Value
=PV(6%/12, 120, -500, 100000)

$500/month for 10 years to reach $100K

=PV(0.5%, 120, -500, 100000) → $-99,540

Real-World Examples

Calculate Maximum Home Loan Amount

Use the PV function in Excel to determine the maximum mortgage amount you can afford based on your monthly payment capacity. Critical for homebuyers planning budgets, real estate agents advising clients, and mortgage brokers qualifying borrowers. The Excel PV formula converts affordable monthly payments into total loan principal, accounting for interest rates and loan terms to provide accurate home price affordability calculations for residential and commercial property financing.

ABC
1InputMonthly Payment$2,000
2InputAnnual Rate4.5%
3InputYears30
4
5ResultMax Loan:
=PV(B2/12, B3*12, -B1)
$394,478
Pro Tip: Add down payment separately: =PV(...)+DownPayment to get total home price you can afford.
Value Lottery Annuity vs Lump Sum

Calculate the present value of lottery annuity payments to compare against lump sum offers using the PV function in Excel. Essential for financial advisors helping lottery winners, insurance companies valuing structured settlements, and individuals choosing between payment options. The Excel PV formula applies discount rates to future payment streams, revealing true current value for informed financial decisions in retirement planning and settlement negotiations.

ABC
1InputAnnual Payment$100,000
2InputYears20
3InputDiscount Rate5%
4
5ResultPresent Value:
=PV(B3, B2, -B1)
$1,246,221
Pattern: Total payments = $2M, but present value = $1.25M due to time value of money

Common Mistakes to Avoid

=PV(4.5%, 360, -2000)Using annual rate with monthly periods

❌ The Problem:

  • Drastically wrong result - treats 4.5% as monthly rate
  • Calculates as if interest compounds at 54% annually
  • Common mistake when rate and period units do not match

✅ Solution:

=PV(4.5%/12, 360, -2000)

Divide annual rate by 12 for monthly periods. Rate and nper must use the same time unit - if nper is in months, rate must be monthly. The PV function in Excel requires consistent period units to calculate accurate present value.

=PV(5%/12, 360, 2000)Wrong sign for payment (positive instead of negative)

❌ The Problem:

  • Payment sign indicates cash flow direction
  • Positive payment means receiving money (incorrect for loans)
  • Results in negative loan amount which is illogical

✅ Solution:

=PV(5%/12, 360, -2000)

Use negative payment for money you pay out (loan payments). The Excel PV formula follows cash flow conventions: negative for outflows, positive for inflows. For loan payments you make monthly, use negative values.

=PV(4%, 30, -24000)Mixing annual and monthly payment amounts

❌ The Problem:

  • Using annual periods with total annual payment amount
  • Should use monthly periods with monthly payment
  • Creates confusion in payment frequency

✅ Solution:

=PV(4%/12, 360, -2000)

Be consistent with payment frequency. For monthly $2,000 payments: use 360 periods (30×12) and monthly rate (4%/12). The PV function in Excel requires all time-based inputs to use the same period unit.

Frequently Asked Questions

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