Note Pricing

Internal Rate of Return (IRR)

The annualized return that makes the present value of a note's cash flows equal its purchase price — the general way investors measure note returns.

The internal rate of return (IRR) is the annualized discount rate that makes the present value of an investment's cash flows equal to its cost. In note buying, the IRR is the true return a buyer earns on the price they pay, considering the timing and size of every payment received. It is closely related to yield to maturity — for a simple, held-to-maturity note they are essentially the same — but IRR is the more flexible measure because it handles irregular cash flows like early payoffs, balloon timing, partial-purchase reversions, and workout scenarios.

Why IRR matters in note buying

A note rarely pays in a perfectly even stream. A borrower might refinance in year four (accelerating the balloon), make an extra payment, or fall behind and then cure. Each of these changes when the buyer's money comes back, and timing drives return. IRR captures that: money received sooner produces a higher IRR than the same dollars received later. This is why:

  • A note that pays off early can boost the buyer's IRR (they get their capital back faster and can redeploy it).
  • A note that drags out lowers IRR even if every dollar is eventually collected.
  • A partial purchase of near-term payments often carries an attractive IRR because the purchased cash flows arrive soon.

How IRR is calculated

Conceptually, IRR is the rate i that satisfies: 0 = −Price + Σ [ CashFlow_t ÷ (1+i)^t ] across every period t. There is no clean algebraic solution, so it is computed iteratively (spreadsheets use the IRR/XIRR functions). For a level-payment note held to maturity, solving for IRR is the same as solving for YTM.

IRR vs. yield vs. note rate — keeping them straight

  • Note rate: what the borrower pays on the balance.
  • Yield to maturity: the buyer's return if held to term with scheduled payments.
  • IRR: the buyer's actual annualized return given the actual timing of cash flows, including early payoff or irregular events.

Why it matters when you sell

You do not need to compute IRR to sell a note, but it explains buyer behavior. A buyer prices to hit a target IRR for the note's risk. Features that pull cash forward — a near-term balloon, a borrower likely to refinance, or selling only near-term payments via a partial — can support a stronger price because they improve the buyer's IRR. Conversely, a very long, slow-paying note ties up capital and needs a deeper discount to reach the same IRR. Understanding this helps you see why two notes with the same balance can fetch very different offers, and why a partial sale of your nearest payments is sometimes the most efficient way to raise cash.

Questions about internal rate of return (irr)

What is the difference between IRR and yield to maturity?

For a simple note held to the end of its term with even payments, they are essentially the same. IRR is the more general measure — it accounts for the actual timing of irregular cash flows like early payoffs, balloon timing, or partial-purchase reversions.

Why does an early payoff increase a note buyer's IRR?

Because the buyer gets their capital back sooner and can redeploy it. Money received earlier is worth more than the same amount later, so a faster payoff raises the annualized return (IRR) even though the total dollars collected may be lower.

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