年利率8%,每年复利一次,有一项租金每年年初支付1000元,共付5年,其现值和终值各位多少?

题目

年利率8%,每年复利一次,有一项租金每年年初支付1000元,共付5年,其现值和终值各位多少?

答案

现值P=1000+1000/(1+10%)+1000/(1+10%)/(1+10%)+1000/(1+10%)/(1+10%)/(1+10%)+1000/(1+10%)/(1+10%)/(1+10%)/(1+10%)=4169.86元 终值F=1000*（1+10%）+1000*（1+10%）*(1+10%)+1000*（1+10%）*(1+10%)*(1+10%)+1000*（1+10%）*(1+10%)*(1+10%)*(1+10%)+1000*（1+10%）*(1+10%)*(1+10%)*(1+10%)*(1+10%)=6715.61元