Present Value

Present Value is the mathematical foundation of every pricing decision in note investing, representing what a future stream of cash flows is worth right now after accounting for the time value of money, risk, and opportunity cost. A dollar promised twelve months from now is worth less than a dollar in hand today because you could invest that dollar today and earn a return. Present value quantifies that difference precisely, converting an entire schedule of future mortgage payments into a single number that tells you the maximum you should pay for a note.

The Present Value Formula

The core formula for present value of a single future payment is:

PV = FV / (1 + r)^n

For a mortgage note with multiple payments, you calculate PV for each individual payment and sum them. A note with 120 remaining payments of $500 at a 12% annual discount rate has a present value of approximately $34,858 — meaning that's the maximum purchase price that would deliver your target 12% yield.

How Note Investors Use Present Value

Present value analysis is the engine behind every offer an investor places on a performing note. The process works like this:

• Identify the cash flows. Pull the remaining payment count, monthly payment amount, and any balloon payment from the amortization schedule.
• Select a discount rate. This is your target yield — typically 8% to 15% for performing notes depending on collateral quality, borrower credit, and loan-to-value ratio.
• Discount each payment. Earlier payments are discounted less (they arrive sooner), later payments are discounted more.
• Sum the results. The total is your maximum bid price. Offer less than this to build in margin.

The discount rate you choose is subjective and reflects your required return. Two investors looking at the same note will arrive at different present values if one demands a 10% yield and the other demands 14%. The note's cash flows are fixed — the variable is how much risk premium each buyer requires.

Present Value for Non-Performing Notes

With non-performing notes, present value gets more complex because the cash flows are uncertain. Instead of discounting a known payment stream, you estimate probable outcomes — loan modification, discounted payoff, foreclosure and liquidation — and calculate the present value of each scenario:

• Modification scenario: The borrower re-performs under modified terms. Discount the new payment stream at your target yield, but factor in the probability of re-default.
• DPO scenario: The borrower pays a lump sum in 3-6 months. Discount that single payment back to today.
• Foreclosure scenario: You recover the property value minus costs after 12-18 months. Discount that net recovery back to today.

Weighting each scenario by its estimated probability produces an expected present value, which becomes the basis for your bid. This probability-weighted approach is far more reliable than pricing NPLs on a single assumed outcome.

Present Value vs. Net Present Value

These terms are related but distinct. Present value calculates what future cash flows are worth today. Net present value (NPV) subtracts the purchase price from that figure. If a note's present value at your target yield is $35,000 and you can buy it for $30,000, the NPV is +$5,000 — meaning the deal exceeds your return threshold. A positive NPV signals a buy; a negative NPV means you'd earn less than your target yield at that price.

Every spreadsheet model, financial calculator, and pricing tool used in note investing runs on present value math. Whether you are evaluating a single performing note or building a bid on a loan pool of fifty assets, the discipline of discounting future cash flows to today's dollars is what separates informed pricing from guesswork.