方案一:即付年金求现值
计算公式为P=A×[(P/A,i,n-1)+1]
=10×[(P/A,10%,4)+1]
=10×4.1699
=41.699(万元)
方案二:递延年金求现值
用全部8年期的即付年金现值减去前三期的即付年金现值,即:
P=A[(P/A,i,n-1)+1]-A[(P/A,i,m-1)+1]
=12×4.8684-12×1.7355
=37.5948(万元)
方案三:普通年金求现值
计算公式P=A(P/A,i,n)
=11.5×(P/A,10%,5)
=11.5×3.7908
=43.5942(万元)
所以应当采用方案二(本人也只是学了一点,答案仅供参考)
甲方案:付款总现值=10×[(P/A,10%,5-1)+1]=10×(P/A,10%,5) (1+10%)=10×3.791×(1+10%)=41.7(万元)
乙方案:付款总现值=12×(P/A,10%,5)×(P/F,10%,1)=12×3.791×O.909=41.4(万元)
丙方案:付款总现值=11.5×(P)/A,10%,5)=11.5×3.791=43.6(万元)