赵梦杨 · 2021年02月25日
NO.PZ2015120604000170
问题如下：
A.J. plans to pay his child's tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, and how much payment A.J. should make at the end of each year from now?
选项：
A. $3,441.23
B. $3,800.07
C. $4,009.08
解释：
B is correct.
Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30
Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07
第二步的N为什么不按15算？
星星_品职助教 · 2021年02月25日
同学你好，
根据题干描述“ ......for four years starting 15 years from now”，所以可以知道这四笔现金流发生的时间点分别是15,16,17,18.（这是协会题目的一个固定表述方式）
所以将这四笔现金流折现求现值时，是折到第14时间点的（这和如果是1,2,3,4四个时点发生了四笔现金流，折现是折到0时点，而不是1时点是一样的）。
所以第二步就要从14时间点折现回到0时点，N等于14，而不是15.
本题的时间轴可参照下图。
fuunny · 2021年05月27日
老师，所以以后题目中出现 starting xx years from now 不是指从现在开始存钱吗？这道题我理解为先付年金了
NO.PZ2015120604000170问题如下 A.J. plans to phis chils tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, anhow mupayment A.J. shoulmake the enof eayefrom now? A.$3,441.23B.$3,800.07C.$4,009.08B is correct.Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07老师，我发现我做类似的题最容易做错的部分就是前面一个时间段短年份数，就像这道题，我就会按照15年来计算。
NO.PZ2015120604000170问题如下 A.J. plans to phis chils tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, anhow mupayment A.J. shoulmake the enof eayefrom now? A.$3,441.23B.$3,800.07C.$4,009.08B is correct.Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07为什么N是14题目不是说从现在开始的15年吗
NO.PZ2015120604000170 问题如下 A.J. plans to phis chils tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, anhow mupayment A.J. shoulmake the enof eayefrom now? A.$3,441.23 B.$3,800.07 C.$4,009.08 B is correct.Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07 除非北美那边学费是年末付的。 这个显然不符合常理吧。是不是算4年学费现值应该选年初支付呢。因为这个是有差异的呀。
NO.PZ2015120604000170 问题如下 A.J. plans to phis chils tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, anhow mupayment A.J. shoulmake the enof eayefrom now? A.$3,441.23 B.$3,800.07 C.$4,009.08 B is correct.Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07 15、16、17、18年需要交学费，那应该是年初交，所以计算机要调整成BGN，N=4,I/Y=5.5,PMT=22000,FV=0,得出折现到15年时候得PV=81354；从现在0时刻开始，每年年末存一笔钱，到14年，一共存了14笔，计算机调整成ENN=14,I/Y=5.5,PV=0,FV=-81354,
NO.PZ2015120604000170 问题如下 A.J. plans to phis chils tuition fee for four years starting 15 years from now. He estimates the fees is $22,000 per year. If the saving account interest rate is 5.5% annually, anhow mupayment A.J. shoulmake the enof eayefrom now? A.$3,441.23 B.$3,800.07 C.$4,009.08 B is correct.Step 1: N = 4, FV = 0, I/Y = 5.5, PMT = 22,000, CPT PV = -77,113.30Step 2: PV =0, N = 14, I/Y = 5.5, FV = 77,113.30, CPT PMT =-$3,800.07 这道题可以翻译下吗 我理解的是用15年每年定期存入的钱支付4年的学费，那么N就是等于15呀
