关于年金的计算题

2024年11月15日 14:06
有4个网友回答
网友(1):

要区别是用现值还是用终值计算,本题就是区别是用年偿债基金法与年资本回收额的计算。
1。 年偿债基金的计算(已知年金终值F,求年金A)
偿债基金是指为了在约定的未来时点清偿某笔债务或积蓄一定数量的资金而必须分次等额形成的存款准备金.由于每次提取的等额准备金类似年金存款,因而同样可以获得按复利计算的利息,所以债务实际上等于年金终值.计算公式为:A=F×i/[(1+i)n-1], 式中加底纹部分的数值称作“偿债基金系数”. 偿债基金系数是年金终值系数的倒数,可以通过查”一元年金终值表”求倒数直接获得,所以计算公式也可以写为:
A=F×(A/F, i,n)=F/(F/A,i,n).
2。 年资本回收额的计算(已知年金现值p,求年金A)
资本回收是指在给定的年限内等额回收或清偿所欠债务(或初始投入资本).年资本回收额的计算是年金现值的逆运算.其计算公式为:A=p× i/[1-(1+ i)-n].式中加底纹部分的数值称作“资本回收系数”,记作(A/p,i,n). 资本回收系数是年金现值系数的倒数,可以通过查阅“一元年金现值系数表”,利用年金现值系数的倒数求得.所以计算公式也可以写为:A=p×(A/p,i,n)=p/(p/A, i,n)
因为,上题是应该用年偿债基金计算,所以就应该用终值来计算哦。

网友(2):

这是求普通年金现值得,普通年金现值是指一定时期内每期期末收付款项复利现值之和。
计算公式:普通年金1元、利率为i,经过n期的年金现值,记作(p/a,i,n),可查年金现值系数表。
计算:年金现值=600000*p/a(8%,3)=600000*2.577=1546200

网友(3):

可以用现值计算,现值和终值只不过是互为逆运算~只不过用终值简单一点

网友(4):

因为用终值算比较简单,这一题没必要算现值

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