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What is Monte Carlo Simulation?

A computational technique that uses random sampling of interest rate paths to value assets with embedded options.

Monte Carlo simulation is a computational technique that generates thousands of random interest rate paths to value financial assets with path-dependent features, like the prepayment option in whole loans. Each simulated path produces different cashflows (because prepayment behavior depends on the rate environment), and the asset's value is the average present value of cashflows across all paths. Monte Carlo is the industry standard for OAS calculation because it captures the full distribution of outcomes, not just a single scenario.

How LoanBook Uses Monte Carlo Simulation

LoanBook's OAS engine simulates Hull-White interest rate paths (200 in production pricing). Each path generates rate-sensitive prepayment projections via the LoanBook Prepay Model, producing dynamic cashflows. OAS is the spread that makes the average present value across all paths equal to the market price.

Frequently Asked Questions

How many paths does LoanBook simulate?

Production pool pricing uses 200 Hull-White paths, enough to resolve a few basis points of option cost on consumer and auto pools while fitting the compute budget for the largest pools.

Related Terms

Option-Adjusted Spread (OAS)Hull-White ModelConditional Prepayment Rate (CPR)

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See Monte Carlo Simulation in Action

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