请老师给出这道题1-4问的全部解题步骤,我自己的计算过程在最后一张截图,和讲义的答案全都不一样,感谢🙏
lynn_品职助教 · 2022年10月16日
嗨,爱思考的PZer你好:
这道题是Reading 6 ■ Principles of Asset Allocation的example11
我们先查表,得到
Module A and that the appropriately adjusted expected return for that module is 2.3%. Discounting a US$500,000 annual cash flow, inflated by 2% a year from Year 2 onwards。
也就是5年现金流是500,000, 回报为2.3%, inflation 是2%求现值,第二年才有Inflation。
PMT = 500,000, N= 5, I = 1.023/1.02-1
算出来是2478092,因为第二年才inflation 所以得出的数字需要除以1.02 也就是2429502。投资我们取千位也就是2430000。
They want an 85% chance of being able to maintain their current expenditures over the ensuing 25 years, which they see as a reasonable estimate of their joint life expectancy.
Goal 2 关键词:85% probability of success,25years。通过查表,选择F portfolio,minimum expected return=6.1%。因为要除去前5年,从第六年开始,
因此算出PMT = 500,000, N= 25, I =1.061/1.02-1
PMT = 500,000, N= 5 ,I =1.061/1.02-1
再减掉前5年的PV,得出PV=$6,275,000.占比:6275000/ 25,000,000=25.1%
Goal 3 和Goal 4你的计算是正确的,我按计算器和你的答案一样,教材这里应该是因为取值四舍五入的原因,导致答案有差别。(我用教材goal 4反求了一下I/Y,是6.8074%。)
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