EDUCBA

EDUCBA

MENUMENU
  • Free Tutorials
  • Free Courses
  • Certification Courses
  • 250+ Courses All in One Bundle
  • Login
Home Finance Finance Resources Finance Formula Present Value Factor Formula
Secondary Sidebar
Finance Blog
  • Finance Formula
    • Skewness Formula
    • Fixed Asset Turnover Ratio Formula
    • Forecasting Formula
    • EBITDA Margin Formula
    • Accounting Ratio Formula
    • Deferred Annuity Formula
    • Capital Investment Formula
    • Ratio Analysis Formula
    • Loss Ratio Formula
    • Benefit-Cost Ratio Formula
    • Probability Distribution Formula
    • Cash Conversion Cycle Formula
    • Accrued Income
    • DCF Excel summary
    • Price to Earning Ratio Formula
    • Current Yield of Bond Formula
    • Earnings Per Share Formula
    • Manufacturing Overhead Formula
    • FCFF Formula
    • Predetermined Overhead Rate Formula
    • Times Interest Earned Ratio Formula
    • Bank Efficiency Ratio Formula
    • Capital Expenditure Formula
    • Expense Ratio Formula
    • WACC Formula
    • Activity Ratio Formula
    • Standard Error Formula
    • Forward Rate Formula
    • Gearing Formula
    • Prime Cost Formula
    • Productivity Formula
    • t-Test Formula
    • Risk Free Rate Formula
    • Tax Shield Formula
    • Sortino Ratio
    • Reserve Ratio Formula
    • Bond Formula
    • Annualized Rate of Return Formula
    • Conditional Probability Formula
    • Financing Formula
    • Future Value of an Annuity Formula
    • For Profit vs Non Profit
    • Deadweight Loss Formula
    • Inflation Formula
    • Amortized Loan Formula
    • Horizontal Analysis Formula
    • Marginal Utility Formula
    • Kurtosis Formula
    • Macaulay Duration Formula
    • Multiplier Formula
    • Modified Duration Formula
    • Operating Leverage Formula
    • Payout Ratio Formula
    • Statistics Formula
    • Sampling Error Formula
    • Trend Analysis Formula
    • Taylor Rule Formula
    • Put Call Parity Formula
    • Annual Return Formula
    • Discount Rate Formula
    • Cash Flow Formula
    • Dilution Formula
    • Attrition Formula
    • Operating Expense Formula
    • Interpolation Formula
    • Annuity Due Formula
    • Bond Yield Formula
    • Turnover Ratio Formula
    • Efficiency Formula
    • Revenue Per Employee
    • Regression Line Formula
    • Yield to Maturity
    • Pearson Correlation Coefficient Formula
    • Accounting Formula
    • Fiscal Deficit Formula
    • Tax Multiplier Formula
    • Efficiency Ratio Formula
    • Demand Elasticity Formula
    • Gross Margin Formula
    • Elasticity Formula
    • Marginal Benefit Formula
    • Depreciation Formula
    • Cost-Benefit Analysis Formula
    • Percentage Change Formula
    • Levered Beta Formula
    • Shares Outstanding Formula
    • Capital Gain Formula
    • Convexity Formula
    • Gross Income Formula
    • Net Exports Formula
    • Producer Surplus Formula
    • Accounting Rate of Return Formula
    • Net Cash Flow Formula
    • Labor Force Participation Rate Formula
    • Moving Average Formula
    • Net Worth Formula
    • Accounting Profit Formula
    • Disposable Income Formula
    • Discount Formula
    • Average Variable Cost Formula
    • Total Variable Cost Formula
    • Product Cost Formula
    • Marginal Product Formula
    • Break-Even Sales Formula
    • Return on Sales Formula
    • Cost of Goods Manufactured Formula
    • Average Fixed Cost Formula
    • Stock Turnover Ratio Formula
    • Operating Ratio Formula
    • Equity Ratio Formula
    • Net Present Value Formula
    • Aggregate Demand Formula
    • Volatility Formula
    • Marginal Product of Labor Formula
    • Z Test Statistics Formula
    • Standard Cost Formula
    • Velocity of Money Formula
    • Invested Capital Formula
    • Unlevered Beta Formula
    • Bank Reconciliation Formula
    • Portfolio Return Formula
    • Central Tendency Formula
    • Accumulated Depreciation Formula
    • Intrinsic Value Formula
    • Decile Formula
    • Vector Cross Product Formula
    • Effective Annual Rate Formula
    • CAGR Formula
    • Mode Formula
    • Arithmetic Mean Formula
    • Real GDP Formula
    • Gini Coefficient Formula
    • Expected Value Formula
    • Price Elasticity of Supply Formula
    • Net Operating Income Formula
    • Profit Percentage Formula
    • GDP Per Capita Formula
    • Altman Z Score
    • Quartile Deviation Formula
    • Return on Capital Employed Formula
    • Consumer Price Index Formula
    • Economic Profit Formula
    • Market Share Formula
    • Real Interest Rate Formula
    • Income Elasticity of Demand Formula
    • Income From Operations Formula
    • Indexation Formula
    • Sales Formula
    • Money Multiplier Formula
    • GDP Deflator Formula
    • Residual Income Formula
    • Effective Interest Rate Formula
    • Coupon Bond Formula
    • Current Account Formula
    • Total Cost Formula
    • Total Expense Ratio Formula
    • Net Sales Formula
    • Percentage Decrease Formula
    • Uncertainty Formula
    • Nominal GDP Formula
    • Effect Size Formula
    • Delta Formula
    • Cost of Sales Formula
    • Fixed Cost Formula
    • Unemployment Rate Formula
    • Present Value of Annuity Formula
    • Compounding Formula
    • Geometric Distribution Formula
    • National Income Formula
    • Accounts Receivables Turnover Formula
    • Integer Formula
    • Ending Inventory Formula
    • Owner's Equity Formula
    • Capacity Utilization Rate Formula
    • Interest Formula
    • Nominal Interest Rate Formula
    • Risk Premium Formula
    • Interest Coverage Ratio Formula
    • Gross Profit Margin Formula
    • Diluted EPS Formula
    • Return On Average Equity Formula
    • Return on Average Assets Formula
    • Working Capital Formula
    • Revenue Per Employee Ratio Formula
    • Capital Employed Formula
    • Rule of 72 Formula
    • Inventory Turnover Ratio Formula
    • Preferred Dividend Formula
    • Retention Ratio Formula
    • Present Value Factor Formula
    • Equity Multiplier Formula
    • Continuous Compounding Formula
    • Return on Assets (ROA) Formula
    • Portfolio Variance Formula
    • Weighted Average Formula
    • Net Working Capital Formula
    • Tax Equivalent Yield Formula
    • Poisson Distribution Formula
    • Current Ratio Formula
    • Debt Ratio Formula
    • Quick Ratio Formula
    • Payback Period Formula
    • Marginal Cost Formula
    • Debt to Income Ratio Formula
    • Book Value Per Share Formula
    • Asset Turnover Ratio Formula
    • Perpetuity Formula
    • Bid-Ask Spread Formula
    • Price to Book Value Formula
    • Capital Gains Yield Formula
    • Net Profit Margin Formula
    • DuPont Formula
    • Bond Pricing Formula
    • Binomial Distribution Formula
    • Sustainable Growth Rate Formula
    • Average Collection Period Formula
    • Net Income Formula
    • CAPM Formula
    • Cost of Goods Sold Formula
    • Economic Order Quantity (EOQ) Formula
    • Amortization Formula
    • Enterprise Value Formula
    • Beta Formula
    • Cost of Equity Formula
    • Rate of Return Formula
    • Revenue Formula
    • Markup Price Formula
    • Cash Flow from Operations Formula
    • Simple Interest Rate Formula
    • Consumer Surplus Formula
    • Asset to Sales Ratio Formula
    • Debt Service Coverage Ratio Formula
    • Capitalization Rate Formula
    • Cost of Debt Formula
    • Straight Line Depreciation Formula
    • Variable Costing Formula
    • Return on Invested Capital Formula
    • Profitability Index Formula
    • Expected Return Formula
    • Cost of Capital Formula
    • Price Index Formula
    • Average Total Cost Formula
    • Discount Factor Formula
    • Price Elasticity Formula
    • Profitability Ratios Formula
    • Financial Leverage Formula
    • Contribution Margin Formula
    • Time Value of Money Formula
    • Balance Sheet Formula
    • Opportunity Cost Formula
    • Current Assets Formula
    • Operating Cycle Formula
    • Operating Margin Formula
    • Bond Equivalent Yield Formula
    • Marginal Revenue Formula
    • Sales Revenue Formula
    • Net Debt Formula
    • Times Interest Earned Formula
    • Gordon Growth Model Formula
    • Required Rate of Return Formula
    • Break Even Analysis Formula
    • Inventory Formula
    • Marginal Propensity to Consume Formula
    • Debt to Asset Ratio Formula
    • Solvency Ratio Formula
    • Interest Expense Formula
    • Leverage Ratio Formula
    • Dividend Payout Ratio Formula
    • Operating Profit Margin Formula
    • PEG Ratio Formula
    • Net Interest Margin Formula
    • Return on Equity (ROE) Formula
    • Overhead Ratio Formula
    • Future Value Formula
    • Days in Inventory Formula
    • Market Capitalization Formula
    • Sharpe Ratio Formula
    • Cash Ratio Formula
    • Retained Earnings Formula
    • Average Rate of Return Formula
    • Current Liabilities Formula
    • Equity Value Formula
    • Relative Risk Reduction Formula
    • Capital Adequacy Ratio Formula
    • Debtor Days Formula
    • DPMO Formula
    • Average Formula
    • Exponential Growth Formula
    • Net Realizable Value Formula
    • Range Formula
    • Shareholders' Equity Formula
    • Sinking Fund Formula
    • Doubling Time Formula
    • Salvage Value Formula
    • Coupon Rate Formula
    • Simple Interest Formula
    • Correlation Formula
    • R - Squared Formula
    • MTBF Formula
    • Change in Net Working Capital Formula
    • Midrange Formula
    • Normal Distribution Formula
    • Mean Formula
    • Population Mean Formula
    • Median Formula
    • Central Limit Theorem Formula
    • Free Cash Flow Formula
    • Stockholder's Equity Formula
    • Acid-Test Ratio Formula
    • Percentile Rank Formula
    • Purchasing Power Parity Formula
    • Harmonic Mean Formula
    • Relative Standard Deviation Formula
    • T Distribution Formula
    • Normalization Formula
    • Operating Income Formula
    • Markup Percentage Formula
    • Relative Change Formula
    • Maturity Value Formula
    • Salary Formula
    • High Low Method
    • Income Statement Formula
    • Market to Book Ratio Formula
    • Dividends Per Share Formula
    • Daily Compound Interest Formula
    • Working Capital Turnover Ratio Formula
    • Weighted Mean Formula
    • Compounded Annual Growth Rate Formula
    • Regression Formula
    • Margin of Error Formula
    • Hypergeometric Distribution Formula
    • Standard Normal Distribution Formula
    • NOPAT Formula
    • Effective Tax Rate Formula
    • Degree of Operating Leverage Formula
    • Outliers Formula
    • Information Ratio Formula
    • Percent Error Formula
    • Hypothesis Testing Formula
    • Activity Based Costing Formula
    • Coverage Ratio Formula
    • Market Risk Premium Formula
    • Degree of Financial Leverage Formula
    • Absorption Costing Formula
    • Future Value of Annuity Due Formula
    • Internal Growth Rate Formula
    • F-Test Formula
    • Covariance Formula
    • Population Variance Formula
    • Coefficient of Determination Formula
    • Adjusted R Squared Formula
    • Compound Interest Formula
    • Gross Profit Formula
    • Accounting Equation Formula
    • Sample Size Formula
    • Sample Standard Deviation Formula
    • Quartile Formula
    • Variance Analysis Formula
    • Correlation Coefficient Formula
    • Z Score Formula
    • Variance Formula
    • Present Value Formula
    • Coefficient of Variation Formula
    • Net Asset Value Formula
    • Profit Margin Formula
    • Holding Period Return Formula
    • Capital Asset Pricing Model Formula
    • Present Value of Annuity Due Formula
    • Depreciation Expenses Formula
    • Annuity Formula
    • Taxable Income Formula
    • Profit Formula
    • Monthly Compound Interest Formula
    • Equity Formula
    • Return on Total Assets Formula
    • Alpha Formula
    • Debt to Equity Ratio Formula
    • EBITDA Formula
    • Accrued Interest Formula
    • Dividend Formula
    • Common Stock Formula
    • Mortgage Formula
    • Growth Rate Formula
    • Absolute Value Formula
  • Accounting fundamentals (700+)
  • Asset Management Tutorial (200+)
  • Banking (44+)
  • Corporate Finance Basics (373+)
  • Credit Research Fundamentals (6+)
  • Economics (88+)
  • Financial Modeling in Excel (17+)
  • Investment Banking Basics (140+)
  • Investment Banking Careers (29+)
  • Trading for dummies (69+)
  • valuation basics (27+)
  • Insurance Resources (14+)
  • Top Finance Books (7+)
Finance Blog Courses
  • Investment Banking Course
  • Investment Banking Online Course
  • Financial Modeling Certification

Present Value Factor Formula

By Madhuri ThakurMadhuri Thakur

Present Value Factor Formula

Present Value Factor Formula (Table of Contents)

  • Present Value Factor Formula
  • Present Value Factor Calculator
  • Present Value Factor Formula in Excel (With Excel Template)

Present Value Factor Formula

Present Value Factor Formula:

Start Your Free Investment Banking Course

Download Corporate Valuation, Investment Banking, Accounting, CFA Calculator & others

All in One Financial Analyst Bundle(250+ Courses, 40+ Projects)
Financial ModelingInvestment BankingUS GAAPCFA-Level 1 & 2
Equity ResearchM & A ModelingPrivate Equity ModelingForex Trading
Price
View Courses
250+ Online Courses | 40+ Projects | 1000+ Hours | Verifiable Certificates | Lifetime Access
4.9 (86,035 ratings)

Present-Value-Factor-Formula

  • r = Rate of Return
  • n = Number of Years/Periods

Present Value Factor Formula is used to calculate a present value of all the future value to be received. It works on the concept of time value money. Time value of money is the concept that says an amount received today is more valuable than the same amount received at a future date.

Derivation of Present Value Factor Formula

Present Value Factor alternateFormula

Where,

  • PV = Present Value
  • FV = Future Value
  • r = Rate of Return
  • n = Number of Years/Periods

Example of Present Value Factor Formula

Company Z has sold goods to Company M for Rs. 5000. Company M gave an offer to Company Z that either Company M pays Rs. 5000 immediately or pay Rs. 5500 after two years. Discounting rate is 8%.

You can download this Present Value Factor Template here – Present Value Factor Template

Now, in order to understand which of either deal is better i.e. whether Company Z should take Rs. 5000 today or Rs. 5500 after two years, we need to calculate a present value of Rs. 5500 on the current interest rate and then compare it with Rs. 5000, if the present value of Rs. 5500 is higher than Rs. 5000, then it is better for Company Z to take money after two years otherwise take Rs. 5000 today.

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

As present value of Rs. 5500 after two years is lower than Rs. 5000, it is better for Company Z to take Rs. 5000 today.

Explanation of PV Factor Formula

Present value means today’s value of the cash flow to be received at a future point of time and present value factor formula is a tool/formula to calculate a present value of future cash flow. The concept of present value is useful in making a decision by assessing the present value of future cash flow. Given a situation where you have to decide whether to receive or pay any amount of sum today or in future, assessing present value of future cash flows helps in taking effective decisions by comparing today’s cash flow with a present value of future cash flow.

Present Value of Future Cash Flow is nothing but the intrinsic value of the Cash Flow due to be received in the future. It is a representative amount which states that instead of waiting for the Future Cash Flows if you want the amount today, then how much would you receive. Obviously, the present value of the future cash flows is lower than the future cash flows in an absolute sense as it is based on the concept of Time Value of Money. As per the concept of time value of money, money received today would be of higher value compared to money received in future as money received today can be reinvested to earn interest on it. Also, money received today reduces any risk of uncertainty. In short, longer the time in receiving money lower will be its current value.

A very important component in present value factor is the discounting rate. Discounting rate is the rate at which the value of future cash flow is determined. Discount rate depends on the risk-free rate and risk premium of an investment. Even, each cash flow stream can be discounted at a different discount rate, because of variation in expected inflation rate and risk premium, but for simplicity purpose, we generally prefer to use single discounting rate. Discounting rate is very similar to interest rate i.e. if you invest in a government security, then interest rates are low as it is considered to be risk-free, similarly interest rate of FD are higher than government security because of higher risk than government security, and similarly in corporate deposits of different companies of different credit rating.

Hence, the discounting rate of a risky investment will be higher, as it denotes that the investor expects a higher return on the risky investment.

Significance and Use of Present Value Factor Formula

The concept of present value is very useful for making decisions based on capital budgeting techniques or for arriving at a correct valuation of an investment. Hence, it is important for those who are involved in decision making based on capital budgeting, calculating valuations of investments, companies, etc.

Present Value Factor Formula also acts as a base for other complex formulas for more complex decision making like internal rate of return, discounted payback, net present value, etc. It is also helpful in day to day life of a person, for example, to understand the present value of a home loan EMI or the present value of fixed return investment etc.

Present Value Factor Calculator

You can use the following Present Value Factor Calculator

r
n
PV Factor Formula
 

PV Factor Formula =
1
(1 + r)n
=
1 = 0
(1 + 0)0

Present Value Factor Formula in Excel (With Excel Template)

In this example, we have tried to calculate a present value of the Home Loan EMI using the PV factor formula. As illustrated b, we have assumed an annual interest rate of 10%, and the monthly EMI Installment for 30 years. Installment amount assumed is Rs. 50,000.

Home Loan EMI

In order to calculate present value, using the PV Factor formula in excel, we need to understand components of the formula. Following are the components of the PV formula:

  • Rate: Rate is the interest rate or discounted rate used for discounting the future cash flow. As stated before, there can be a different rate for cash flow at different time period based on inflation and risk premium, but for simplicity purpose, we will use a single rate for discounting cash flows at different time intervals.
  • Kindly note, that rate used has to be for a period, in our example, we have assumed an interest rate of 10% per annum, however, cash outflow in the form of EMI will happen on a monthly basis, hence we divided 10% by 12 to arrive at a monthly rate i.e. rate per period.
  • NPER: NPER is the total number of payments. In our example, we have multiplied 30 years by 12 months each year to arrive at the total number of payments.
  • PMT: PMT stands for payment per period. In our example, Rs. 50,000 EMI has to be paid on a monthly basis which is paid per period.
  • FV: FV stands for Future Value of Annuity. It means Value to be received at the end of the period. It is optional to provide input for ‘FV’ and if left blank it is considered to be 0.
  • Type: Type helps to determine whether payment will begin at the start or end of the period. If you type ‘0’, payment will be considered at the end of the period while for ‘1’ it considers payments to be made at the start of the period. It is also optional to provide input for ‘type’ and if left blank it is considered to be 0.

Present Value Factor Example 1-2

Now, in order to calculate, present value in excel, Use PV Factor Formula i.e PV(rate, nper, pmt, fv, type)

Calculation

Recommended Articles

This has been a guide to a Present Value Factor formula. Here we discuss its uses along with practical examples. We also provide you with Present Value Factor Calculator with a downloadable excel template. You may also look at the following articles to learn more –

  1. Examples of Accounts Receivables Turnover Formula
  2. Top Differences – Growth Stock vs Value Stock
  3. Guide to Company Culture And Values
  4. Examples of Terminal value dcf
Popular Course in this category
All in One Financial Analyst Bundle- 250+ Courses, 40+ Projects
  250+ Online Courses |  1000+ Hours |  Verifiable Certificates |  Lifetime Access
4.9
Price

View Course

Related Courses

Investment Banking Course (123 Courses, 25+ Projects)4.9
Investment Banking Course (123 Courses, 25+ Projects)4.8
Financial Modeling Course (7 Courses, 14 Projects)4.7
0 Shares
Share
Tweet
Share
Primary Sidebar
Footer
About Us
  • Blog
  • Who is EDUCBA?
  • Sign Up
  • Live Classes
  • Corporate Training
  • Certificate from Top Institutions
  • Contact Us
  • Verifiable Certificate
  • Reviews
  • Terms and Conditions
  • Privacy Policy
  •  
Apps
  • iPhone & iPad
  • Android
Resources
  • Free Courses
  • Investment Banking Jobs Offer
  • Finance Formula
  • All Tutorials
Certification Courses
  • All Courses
  • Financial Analyst All in One Bundle
  • Investment Banking Training
  • Financial Modeling Course
  • Equity Research Course
  • Private Equity Training Course
  • Business Valuation Course
  • Mergers and Acquisitions Course

ISO 10004:2018 & ISO 9001:2015 Certified

© 2022 - EDUCBA. ALL RIGHTS RESERVED. THE CERTIFICATION NAMES ARE THE TRADEMARKS OF THEIR RESPECTIVE OWNERS.

EDUCBA
Free Financial Modeling Course

3 Statement Model Creation, Revenue Forecasting, Supporting Schedule Building, & others

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA Login

Forgot Password?

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA
Free Investment Banking Course

Corporate Valuation, Investment Banking, Accounting, CFA Calculator & others

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA

*Please provide your correct email id. Login details for this Free course will be emailed to you

By signing up, you agree to our Terms of Use and Privacy Policy.

Let’s Get Started

By signing up, you agree to our Terms of Use and Privacy Policy.

EDUCBA

Download Present Value Factor Template

EDUCBA

डाउनलोड Present Value Factor Template

This website or its third-party tools use cookies, which are necessary to its functioning and required to achieve the purposes illustrated in the cookie policy. By closing this banner, scrolling this page, clicking a link or continuing to browse otherwise, you agree to our Privacy Policy

Loading . . .
Quiz
Question:

Answer:

Quiz Result
Total QuestionsCorrect AnswersWrong AnswersPercentage

Explore 1000+ varieties of Mock tests View more