帮我算一下 谢谢 mortgage, payments, regular, obtained, recently

cicy829214

Jim recently purchased a home for 300000 on which he made a down payment of 100000.he obtained a 30-year mortgage to finance the balance on which he pays a fixed annual rate of 6%.if he makes regular,fixed monthly payments,what loan balance will remain just after the 48th payment? 答案是189299

bmecfa

 down pmt = 100k
loan = 200k

PV = -200K
n = 12*30 = 360
y = 6%/12 = 0.5%
FV = 0
CPT PMT -> monthly PMT = 1199.10

then according to TI manual
Generating an Amortization Schedule Automatically
After entering the initial values for P1 and P2, you can compute an
amortization schedule automatically.
1. Press & \.
— or —
If INT is displayed, press # to display the current P1 value.
2. Press %. Both P1 and P2 update automatically to represent the
next range of payments.

P1 = 1, P2 = 48

BAL = 189229.06

chenghao1

method 2:

 

 down pmt = 100k
loan = 200k

PV = -200K
n = 12*30 = 360
y = 6%/12 = 0.5%
FV = 0
CPT PMT -> monthly PMT = 1199.10

 

 

 

now, you after you paid 48 times, you need to pay (360-48 =) 312 times 1199.10

ONLY replace the value in N = 312, then press [cpt] PV.

 

or more specifically

 

N = 312
y = 6%/12 = 0.5%
FV = 0
PMT = 1199.10

PV = -189229