Financial Risk Manager Part 1

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Explanation:

Correct answer: The interest rate tree uses all possible paths

The main distinction is that an interest rate tree systematically lays out the set of possible future rate paths, while Monte Carlo simulates a large number of random paths.

Both methods can use a term structure model.
Both methods value the mortgage by discounting cash flows using short rates.
Monte Carlo does rely on probabilities through the simulated risk-neutral distribution.

So the key difference is that the tree explicitly represents all possible paths, whereas Monte Carlo approximates the distribution by simulation.

Explanation:

Correct answer: The interest rate tree uses all possible paths

The main distinction is that an interest rate tree systematically lays out the set of possible future rate paths, while Monte Carlo simulates a large number of random paths.

Both methods can use a term structure model.
Both methods value the mortgage by discounting cash flows using short rates.
Monte Carlo does rely on probabilities through the simulated risk-neutral distribution.

So the key difference is that the tree explicitly represents all possible paths, whereas Monte Carlo approximates the distribution by simulation.

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Q-55.4 What is the key DIFFERENCE between using an interest rate tree and a Monte Carlo simulation to price a mortgage pass-through?

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MManit

Last updated: April 18, 2026 at 11:32

a) The interest rate tree uses a term structure model

33.3%

b) Security is priced by discounting cash flows using the short rates

33.3%

c) The interest rate tree uses all possible paths

16.7%

d) Monte Carlo does not make use probabilities since each trial is a single path

16.7%