Question

求助一道英文金融计算题！！！

calculating present values you just won the TVM lottery. you will receive 1 million today plus another 10 annual payments that increase by 400,000 per year. Thus, in one year you receive 1.4 million. In two years, you get 1.8 million, and ... calculating present values you just won the TVM lottery. you will receive 1 million today plus another 10 annual payments that increase by 400,000 per year. Thus, in one year you receive 1.4 million. In two years, you get 1.8 million, and so on. if the appreciate interest rate is 10 percent, what is the present value of your winnings? 展开

Answer 1

我也是本科学经济的，现在要毕业了，以前也做这种题。。。一楼的肯定错了哈。。。这种应该是那种有点像复利的公式，很长一串。
先说一下题，题目大概意思是：你中了彩票，彩票的支付方式是，第一次给你1百万，然后在以后10年，每年再给你40万元。在利率10%的情况下，这笔钱的现值。
解题，一步一步来。首先，100万是年初，那肯定直接就是现值，年底的第一个40万，是过了一年的，所以现值应当是A(A*1.1=40单位是万。其中1.1是利率）也是是说，第一个40万的现值应当是40/1.1
。
后面的就一样了，第二年的就是40/（1.1的平方）
总的现值就是：
100+40/(1.1)+40/（1.1的平方）+。。。+40/（1.1的十次方）
注意单位是万，还有我打不来次方。。。汗一下。。。