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廖廖酱 · 2023年04月14日

关于difference 3

NO.PZ2018123101000102

问题如下:

Fujioka tells Maalouf that she has been reading about the use of Monte Carlo forward- rate simulation for fixed income valuation. She asks Maalouf to further explain this approach to her. Maalouf replies, “The Monte Carlo approach is quite different from the binomial tree approach I’ve been describing to you. Some of these differences include:”

Difference 1: The Monte Carlo approach does not require calibration, whereas the binomial tree approach does.

Difference 2: The Monte Carlo approach is typically employed when cash flows are path dependent, whereas the binomial tree approach only allows one expected cash flow per node, regardless of the path of interest rates.

Difference 3: The Monte Carlo approach randomly simulates a fixed number of interest rate paths and values the security only across those paths, whereas the binomial tree approach values the security across all possible interest rate paths on the tree.

Of the three differences Maalouf describes between the binomial tree approach to fixed-income valuation and the Monte Carlo simulation approach, he is least likely correct regarding:

选项:

A.

Difference 3.

B.

Difference 2.

C.

Difference 1.

解释:

A Monte Carlo forward rate simulation randomly generates a large number of interest rate paths that will correctly value benchmark bonds only by chance. A fixed amount, known as a drift term, is added to every forward interest rate on every simulated path to calibrate the simulation so that the values estimated for benchmark bonds equal their market prices.

老师我感觉difference 3也不是很正确??说二叉树覆盖了所有路径。

1 个答案

pzqa015 · 2023年04月15日

嗨,努力学习的PZer你好:


difference 3没问题,二叉树估值时,从最远端向最近端一期一期的估值,的确是覆盖了所有的利率路径。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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