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vvnsw · 2025年01月20日

这个能用计算机算吗?

NO.PZ2024021803000036

问题如下:

Given the current spot price of a stock is $50, with a dividend yield of 3% and an annual risk-free interest rate of 5%, what is the estimated 6-month forward price?

选项:

A.$49.50 B.$50.50 C.$51.27

解释:

The forward price is calculated by adjusting the current spot price for the cost of carry, which includes dividends and the risk-free rate. For a stock with a 3% dividend yield and a 5% risk-free rate, the 6-month forward price is computed using the formula incorporating continuous compounding of interest minus the continuous dividend yield. 股票的远期价格是通过调整当前即期价格来计算的,其中包括股息和无风险利率的持有成本。对于股息收益率为3%且无风险利率为5%的股票,6个月远期价格使用包含连续复利和连续股息收益率的公式计算得出。FP=Se(r-i)T= Se(0.05-0.03)0.5=50.50

如题,还有这种题目算偏题吗

1 个答案

李坏_品职助教 · 2025年01月20日

嗨,努力学习的PZer你好:


这个不算偏题,可以用计算器算的。


FP=S*e^[(r-i)T]

先求出(r-i)T = (0.05-0.03)*0.5 = 0.01.


然后先按出0.01,再按一下2ND,再按一下LN,求出e^0.01 = 1.0101.


最后求出S*1.0101 = 50.505. 最接近的选项是B。

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努力的时光都是限量版,加油!

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NO.PZ2024021803000036问题如下Given the current spot priof a stois $50, with a vinyielof 3% anannurisk-free interest rate of 5%, whis the estimate6-month forwarprice?A.$49.50B.$50.50C.$51.27 The forwarpriis calculateausting the current spot prifor the cost of carry, whiinclus vin anthe risk-free rate. For a stowith a 3% vinyielana 5% risk-free rate, the 6-month forwarpriis computeusing the formula incorporating continuous compounng of interest minus the continuous vinyiel 股票的远期价格是通过调整当前即期价格来计算的,其中包括股息和无风险利率的持有成本。对于股息收益率为3%且无风险利率为5%的股票,6个月远期价格使用包含连续复利和连续股息收益率的公式计算得出。FP=Se(r-i)T= Se(0.05-0.03)0.5=50.50 分红为何要用连续复利的方式计算?

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NO.PZ2024021803000036问题如下Given the current spot priof a stois $50, with a vinyielof 3% anannurisk-free interest rate of 5%, whis the estimate6-month forwarprice?A.$49.50B.$50.50C.$51.27 The forwarpriis calculateausting the current spot prifor the cost of carry, whiinclus vin anthe risk-free rate. For a stowith a 3% vinyielana 5% risk-free rate, the 6-month forwarpriis computeusing the formula incorporating continuous compounng of interest minus the continuous vinyiel 股票的远期价格是通过调整当前即期价格来计算的,其中包括股息和无风险利率的持有成本。对于股息收益率为3%且无风险利率为5%的股票,6个月远期价格使用包含连续复利和连续股息收益率的公式计算得出。FP=Se(r-i)T= Se(0.05-0.03)0.5=50.50 能否统一讲解一下,这类不足一年的计算回报,或者计算远期价值的时候,何时使用连续复利?何时使用按月的单利?谢谢

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