Calculating a Canadian Mortgage HP10BII Norair Yeretsian
June 5, 2010 2 Comments
Here is a sample of a Canadian Mortgage calculation on the HP 10 B II , with
the appropriate keystrokes so that you too can reproduce these results.
Sample illustration A :
A property is sold for $ 4,250,000 in Toronto, Ont, Canada and the buyer needs
to finance it. He approaches a mortgage lender and a package is prepared and
presented to several lenders. One lender offers : a 65% loan to value ,
with a 5 year term mortgage and 21 year amortization with monthly payments
with monthly payments (representing both principal and interest ;
at an interest rate of 8.25 % .
Make sure your first clear all [shift] [C] this resets the calculator to zero.
We must next convert the interest rate from the stated rate 8.25 % to the
appropriate rate which will assist us in getting the correct Canadian monthly
payment, based on a semi-annually compounded not in advance arrangement
as per Canadian law for blended rate mortgages of principal and interest.
8.25 [ shift] [ Nom%]
2 [shift] [P/YR]
[shift] [EFF%] … displays shows : 8.4202
12 [shift] [P/YR]
[shift] [NOM%] … display shows : 8.1117 this is now parked in [I/YR]
This 8.1117 , is the HP Canadian Mortgage Factor .
The balance of the TVM menu Icons can now be populated
with the appropriate data.
21 [shift] [N] display shows : 252
present value of the mortgage amount $4.25 million x 65%= 2,762,500 loan amount
2,762,500 [ PV] display shows : 2,762,500
0 [FV] display shows : 0
solve for the payment by pressing : [PMT] display shows : - 22,859.30
We can multiple this by [X ] 12 , which will give us the Annual Debt Service.
ADS = 274,311.64
To get into the Amortization Schedule of the Calculator, we simply press …
[shift] [ Amort ] on the display we see : (1-12) ,
this represents the full first year : EOY1 numbers ,
Then we press [ = ] display shows Principal payments .
When we press [ = ] display shows Interest payments.
Then we press [ = ] display shows Balance outstanding for the EOY1 .
By pressing [shift] [Amort] : (13-24) , we get EOY2 numbers, and
again [=],[=],[=] …
If we wanted the EOY5 numbers ; we would press the following ;
1 input 60 [shift ] [ Amrt ] gets us to the end of year 5 :
display shows : (1-60) [=] 308,437.84 principal amount paid over 5 years
[=] 1,063,120.37 this is the total interest payments paid over 5 years.
Again ; [=] gives us the Balance outstanding at the end of 5 years :
2,454,062 EOY5
Let’s put it all into a Mortgage Schedule :
……………… Principal ………….Interest ……….Balance
EOY1… ….$ 52,137 ………….$ 222,175 ……..$ 2,710,363
(1-12)
EOY2… ...$ 56,527 …………$ 217,785 ……$ 2,653,837
(13-24)
EOY3 … …$61,286 …………$ 213,025 …….$ 2,592,550
(25-36)
EOY4…….$ 66,447 ………..$ 207,865 ……..$ 2,526,104
(37-48)
EOY5 ……$ 72,042 ………..$ 202,270 ………$ 2,454,062
(49-60)
Totals …$ 308,438 ……..$ 1,063,120 ………$ 2,454,62
(1-60)
Hope this works for you. If you have any suggestions for improvement
sent us a comment below or Twitter @ EnvoyCapRealty
nyeretsian@yahoo.com June 5, 2010
That was extremely helpful! I have been racking my brain on the easiest way to calculate mortgage interest saved when doing accelerated bi weekly payments vs monthly payments. This was perfect!
We are happy it was useful !