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Alesha is wondering what she will be owing on her mortgage at the end of the five year term

Finance Dec 26, 2020

Alesha is wondering what she will be owing on her mortgage at the end of the five year term. She has a $488,000 mortgage with a semi-annual interest rate of 5.1%, amortized over 25 years. If she continues paying the same payment based on the 25 year amortization, what will she owe at the end of the five year term?

Expert Solution

PVOrdinary Annuity = C*[(1-(1+i/(f*100))^(-n*f))/(i/(f*100))]
C = Cash flow per period
i = interest rate
n = number of payments I f = frequency of payment
488000= Cash Flow*((1-(1+ 5.1/1200)^(-25*12))/(5.1/1200))
Cash Flow = 2881.3
Using Calculator: press buttons "2ND"+"FV" then assign
PV =-488000
 
I/Y =5.1/12
N =25*12
FV = 0
CPT PMT
 
Using Excel
=PMT(rate,nper,pv,fv,type)
=PMT(5.1/(12*100),12*25,,488000,)
PVOrdinary Annuity = C*[(1-(1+i/(f*100))^(-n*f))/(i/(f*100))]
C = Cash flow per period
i = interest rate
n = number of payments I f = frequency of payment
PV= 2881.3*((1-(1+ 5.1/1200)^(-20*12))/(5.1/1200))
PV = 432957.59
Using Calculator: press buttons "2ND"+"FV" then assign
 
PMT =2881.3
I/Y =5.1/12
N =20*12
FV = 0
CPT PV
 
Using Excel
=PV(rate,nper,pmt,FV,type)
=PV(5.1/(12*100),12*20,,PV,)
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