[Help] How to Calculate the Present Value of the Interest Portion on a Loan Between Two Interest Rates?

I am doing this to show what the dollar cost difference would be to a friend in order for him to better understand the power of compound interest and how a few points make a difference.

What I did was make an amortizing table for loan A and loan B with rates R1 and R2. Both loan amounts are equal. Then I took each individual monthly interest payment by discounting it by the effective monthly periodic Bank of Canada overnight rate (I used BoC instead of treasury because this is in Canadian dollars). Then I summed the PV interest payments from loan A and loan B and found the present value dollar cost difference between the two rates.

Is my logic correct in using the BoC rate? What rate should I use as a default two discount the two different interest payments in order to compare them to one another?

Career Advancement Opportunities

May 2024 Investment Banking

  • Jefferies & Company 02 99.4%
  • Goldman Sachs 19 98.8%
  • Harris Williams & Co. New 98.3%
  • Lazard Freres 02 97.7%
  • JPMorgan Chase 04 97.1%

Overall Employee Satisfaction

May 2024 Investment Banking

  • Harris Williams & Co. 18 99.4%
  • JPMorgan Chase 10 98.8%
  • Lazard Freres 05 98.3%
  • Morgan Stanley 07 97.7%
  • William Blair 03 97.1%

Professional Growth Opportunities

May 2024 Investment Banking

  • Lazard Freres 01 99.4%
  • Jefferies & Company 02 98.8%
  • Goldman Sachs 17 98.3%
  • Moelis & Company 07 97.7%
  • JPMorgan Chase 05 97.1%

Total Avg Compensation

May 2024 Investment Banking

  • Director/MD (5) $648
  • Vice President (20) $385
  • Associates (88) $260
  • 3rd+ Year Analyst (14) $181
  • Intern/Summer Associate (33) $170
  • 2nd Year Analyst (67) $168
  • 1st Year Analyst (205) $159
  • Intern/Summer Analyst (146) $101
notes
16 IB Interviews Notes

“... there’s no excuse to not take advantage of the resources out there available to you. Best value for your $ are the...”

Leaderboard

1
redever's picture
redever
99.2
2
Secyh62's picture
Secyh62
99.0
3
BankonBanking's picture
BankonBanking
99.0
4
Betsy Massar's picture
Betsy Massar
99.0
5
GameTheory's picture
GameTheory
98.9
6
dosk17's picture
dosk17
98.9
7
kanon's picture
kanon
98.9
8
CompBanker's picture
CompBanker
98.9
9
bolo up's picture
bolo up
98.8
10
Jamoldo's picture
Jamoldo
98.8
success
From 10 rejections to 1 dream investment banking internship

“... I believe it was the single biggest reason why I ended up with an offer...”