作业帮关于美国大一金融的数学题目
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关于美国大一金融的数学题目
A man establishes an annuity for retirement by depositing $50,000 into an account that pays 7.2% compounded monthly. Equal monthly withdrawals will be made each month for 5 year, at which time the account will have a zero balance. Each year taxes must be made paid on the interest earned by the account during that year. Find the amount of the monthly withdrawals and how much interest was earned during the first year.
A man establishes an annuity for retirement by depositing $50,000 into an account that pays 7.2% compounded monthly. Equal monthly withdrawals will be made each month for 5 year, at which time the account will have a zero balance. Each year taxes must be made paid on the interest earned by the account during that year. Find the amount of the monthly withdrawals and how much interest was earned during the first year.
D（1+r-t)^60-A(1+r-t)^59=A
D：初始本金5万美元
r：月利率7.2%
t：月度税率,由于你没有给出,原题应该有,若是年化税率可以除以12得出
A：每月提取额
通过上式可得第一问答案每月提取额
然后In代表每月利息
In1=D（r-t）
In2=（D+In1-A）（r-t）
In3=（D+In2-A）（r-t）
以此类推求出In12后加总求和即可得出第一年利息收入
D：初始本金5万美元
r：月利率7.2%
t：月度税率,由于你没有给出,原题应该有,若是年化税率可以除以12得出
A：每月提取额
通过上式可得第一问答案每月提取额
然后In代表每月利息
In1=D（r-t）
In2=（D+In1-A）（r-t）
In3=（D+In2-A）（r-t）
以此类推求出In12后加总求和即可得出第一年利息收入