### 使用 Python 计算债券的剩余久期 为了计算债券的剩余久期，可以采用修正久期的概念。修正久期衡量的是债券价格对于收益率变动的敏感度。下面展示一段基于 `numpy` 和 `pandas` 的代码片段用于计算给定参数下的债券修正久期。 ```python import numpy as np import pandas as pd from datetime import datetime, timedelta def calculate_bond_duration(face_value, coupon_rate, yield_to_maturity, maturity_years, payment_frequency=2): periods = int(maturity_years * payment_frequency) payments = [(face_value * (coupon_rate / payment_frequency)) for _ in range(periods)] payments[-1] += face_value # Add principal repayment to last period discount_factors = [(1 + yield_to_maturity/payment_frequency)**(-t) for t in range(1, periods+1)] present_values = [pv*df for pv, df in zip(payments, discount_factors)] macaulay_duration = sum([t/(payment_frequency)*pv/sum(present_values) for t,pv in enumerate(present_values, start=1)]) modified_duration = macaulay_duration / (1 + yield_to_maturity/payment_frequency) return { 'macaulay': macaulay_duration, 'modified': modified_duration } # Example usage with hypothetical bond parameters bond_info = {'face_value': 100, 'coupon_rate': 0.05, 'yield_to_maturity': 0.04, 'maturity_years': 10} duration = calculate_bond_duration(**bond_info)[^1] print(f'Macaulay Duration: {duration["macaulay"]:.4f}') print(f'Modified Duration: {duration["modified"]:.4f}') ``` 这段代码定义了一个名为 `calculate_bond_duration()` 函数，接受面值、票面利率、到期收益率以及期限作为输入，并返回两个类型的久期间：Macaulay Durations 和 Modified Durations。通过调整这些变量，可以根据具体需求模拟不同条件下的债券特性。