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.
So for example at a 12% discount rate, $1 USD received five years from now is equal to 1 ÷ (1 + 12%)^5 or $0.5674 USD today. The PV Factor can be used to calculate the Present Value of a future stream of cash flows by multiplying each period’s cash flow by the given PV Factor for that year and then summing the resulting values.
The PV Factor is the inverse of the related FV Factor or Future Value Factor.
Putting ‘Present Value Factor’ in Context
Overview of the Scenario
Summit Capital Partners, a real estate investment firm specializing in Core-Plus industrial properties, is evaluating the acquisition of the Prairie Logistics Center, a 250,000-square-foot warehouse located in suburban Chicago, Illinois. The property is fully leased to a single tenant on a triple-net lease, with a lease term remaining of 8 years. The tenant’s annual rent is $1,000,000, and Summit Capital Partners expects to sell the property at the end of the 8-year period for $14,000,000. The firm uses a discount rate of 8% to evaluate the deal.
Calculating the Present Value Factor
The Present Value Factor (also called the Present Value of One or PV Factor) is a simple tool used to determine the present value of a single unit of currency ($1) to be received at a future date. The formula for the PV Factor is:
PV Factor = 1 / (1 + i)n
Where:
- i = Discount rate (8% in this case)
- n = Number of periods (years in this case)
Applying the Present Value Factor
To calculate the Present Value of each cash flow, Summit Capital Partners applies the PV Factor to each year’s cash flow. For each year n, the cash flow ($1,000,000 in years 1-8 and $14,000,000 in year 8) is multiplied by the corresponding PV Factor.
PV Factors and Present Value Calculation for Each Cash Flow
| Year | Cash Flow | PV Factor | Present Value (Cash Flow × PV Factor) |
|---|---|---|---|
| 1 | $1,000,000 | 0.9259 | $925,926 |
| 2 | $1,000,000 | 0.8573 | $857,339 |
| 3 | $1,000,000 | 0.7938 | $793,832 |
| 4 | $1,000,000 | 0.7350 | $734,664 |
| 8 (Sale) | $14,000,000 | 0.5403 | $7,564,212 |
Decision-Making
Summit Capital Partners uses the Present Value Factor as part of its broader discounted cash flow analysis. By summing the present value of all future cash flows, Summit calculates a total present value of $13,310,403. Since the firm can acquire the property for $10,000,000, it calculates the Net Present Value (NPV) as:
NPV = 13,310,403 - 10,000,000 = 3,310,403
The positive NPV of $3,310,403 signals that the investment is expected to generate a return above the required 8% discount rate. This case demonstrates how the Present Value Factor is a foundational concept in real estate investment analysis.
Frequently Asked Questions about Present Value Factor in Real Estate Analysis
What is the Present Value Factor?
The Present Value Factor (also called PV Factor or Present Value of One) is a formula used to calculate the Present Value of a single dollar received in the future. The formula is 1 ÷ (1 + i)^n, where i is the discount rate and n is the number of periods.
How is the Present Value Factor used in real estate analysis?
Analysts multiply each future cash flow by the corresponding PV Factor to convert it into today’s dollars. Summing these values gives the Present Value of the investment’s cash flow stream.
Can you give an example of how PV Factor is applied?
Yes. For example, in Year 1 of a deal with an 8% discount rate, the PV Factor is 0.9259. A $1,000,000 cash flow would be worth $925,926 today (1,000,000 × 0.9259).
How did Summit Capital use PV Factors in their investment decision?
Summit applied PV Factors to each year’s projected cash flow—including a large Year 8 sale—to calculate a total Present Value of $13,310,403. They compared this to a $10 million purchase price, resulting in a positive NPV of $3,310,403.
What is the relationship between Present Value Factor and Future Value Factor?
The Present Value Factor is the inverse of the Future Value Factor. While PV discounts future dollars to today, FV projects today’s dollars into the future.
Why is using the correct discount rate important when applying PV Factors?
The discount rate reflects the investor’s required return. An incorrect rate will either undervalue or overvalue the future cash flows, potentially leading to poor investment decisions.
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