开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

婉婷 · 2022年06月05日

这个题为什么不需要将利率转化为EAR呢

NO.PZ2015120604000015

问题如下:

An investor is looking at a house worth $ 2.5 million. If he want to buy the house, he must pay 25% of the full price now and the left money is financed at 10%,compounded monthly over the next 25 years, Calculate the monthly mortgage payment in this case.

选项:

A.

$17,850

B.

$22,607

C.

$17,038

解释:

C is correct.

N = 25 × 12 = 300;

I/Y = 10 / 12;

PV = -2,500,000(1 - 0.25) = -1,875,000 (75% of the full price left);

FV = 0;

CPT PMT = $17038

这个题为什么不需要将利率转化为EAR呢

1 个答案

袁园_品职助教 · 2022年06月06日

嗨,爱思考的PZer你好:


有效年利率(effective annual return)是一种计算投资产品年度复合收益的方法。即在本期收益基础上将利息计入本金再投资的年度收益率,它是考虑了复利因素的收益概念。

这道题如果用EAR算,就比较麻烦。

  1. 你先求出EAR(1+10%/12)的12次方-1=10.47%。
  2. EAR是每年的复合收益,然后按照25年,算出PMT,我按了计算器,这个等于214093.78。
  3. 这个PMT是1年的PMT,由于货币时间价值的存在,是不能直接除以12转化为月PMT的,而是需要重新用一排5个键计算一遍,FV=214093.78,N=12,PV=0,I/Y=10/12,CPT PMT=-17038.1298。

这样还不如直接将N转换为月份,直接按计算器,得到每月的PMT来的快。


----------------------------------------------
努力的时光都是限量版,加油!

  • 1

    回答
  • 0

    关注
  • 371

    浏览
相关问题

NO.PZ2015120604000015问题如下 investor is looking a house worth $ 2.5 million. If he want to buy the house, he must p25% of the full prinow anthe left money is finance10%,compounmonthly over the next 25 years, Calculate the monthly mortgage payment in this case. A.$17,850 B.$22,607 C.$17,038 C is correct.N = 25 × 12 = 300;I/Y = 10 / 12;PV = -2,500,000(1 - 0.25) = -1,875,000 (75% of the full prileft);FV = 0;CPT PMT = $17038 N=300,利率0.83不变,PV是625000(首付),FV为2500000,然后求PMT,这个思路就是当下我先付625000然后每个月付多少钱能满足25年后用付了2500000,求PMT

2023-04-08 15:06 2 · 回答

NO.PZ2015120604000015问题如下 investor is looking a house worth $ 2.5 million. If he want to buy the house, he must p25% of the full prinow anthe left money is finance10%,compounmonthly over the next 25 years, Calculate the monthly mortgage payment in this case. A.$17,850 B.$22,607 C.$17,038 C is correct.N = 25 × 12 = 300;I/Y = 10 / 12;PV = -2,500,000(1 - 0.25) = -1,875,000 (75% of the full prileft);FV = 0;CPT PMT = $17038 这个 finance10%默认就是年利率吗?

2023-01-14 16:49 1 · 回答

NO.PZ2015120604000015 问题如下 investor is looking a house worth $ 2.5 million. If he want to buy the house, he must p25% of the full prinow anthe left money is finance10%,compounmonthly over the next 25 years, Calculate the monthly mortgage payment in this case. A.$17,850 B.$22,607 C.$17,038 C is correct.N = 25 × 12 = 300;I/Y = 10 / 12;PV = -2,500,000(1 - 0.25) = -1,875,000 (75% of the full prileft);FV = 0;CPT PMT = $17038 I/Y = 10 / 12;請問哪裡表示10%需要除12,如何判斷10%為年利率?

2022-09-24 00:44 1 · 回答

NO.PZ2015120604000015 问题如下 investor is looking a house worth $ 2.5 million. If he want to buy the house, he must p25% of the full prinow anthe left money is finance10%,compounmonthly over the next 25 years, Calculate the monthly mortgage payment in this case. A.$17,850 B.$22,607 C.$17,038 C is correct.N = 25 × 12 = 300;I/Y = 10 / 12;PV = -2,500,000(1 - 0.25) = -1,875,000 (75% of the full prileft);FV = 0;CPT PMT = $17038 FV是1875000不就代表是未来付清贷款的金额,然后PV等于0求PMT么?

2022-05-14 11:17 1 · 回答