Loan Amortization Using Present Value of Annuity Formula

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  • Опубликовано: 16 июл 2024
  • Students can use this video to better understand Section 4.5 of "Corporate Finance" [12th Edition] by Ross, Westerfield, Jaffe and Jordan.
    In this video I explain loan amortization using a numerical example. Specifically, I explain how loan amortization is a simple application of the Present Value of Annuity formula, and how one can, therefore, use this formula to calculate the constant periodic payment that needs to be made to retire the loan (with interest). I also construct a simple loan amortization table to show how the constant payment calculated retires the principal and interest expense overtime.

Комментарии • 44

  • @user-uu3gd8eo1c
    @user-uu3gd8eo1c 8 месяцев назад +4

    super! it took me over 15 videos to find this answer and you nailed it! thanks.... I was looking for the table you created to understand how interest and C were linked together. very well done, thanks

  • @olivermathiasen3594
    @olivermathiasen3594 9 месяцев назад +2

    Man i have been struggle with this subject for so long. This video really helped me. Im 16 atm, and dont have chance for school atm. So im self studying and now i can finaly understand this subject. Thank you thank you thank you. Thank you so much. This means everything to me.

    • @professorikram
      @professorikram  9 месяцев назад +2

      Kudos to you for self learning. If you feel stuck, reach out. Will try my best to help you.

  • @nakazzihadijjah1465
    @nakazzihadijjah1465 3 года назад +4

    Wow, so helpful, Detailed, got more than I needed, thanks

  • @kaichuanyu5964
    @kaichuanyu5964 3 года назад +5

    sir, you are a legend!

  • @SamarthPandya
    @SamarthPandya 3 года назад +4

    Very well explained.I like the explanation

  • @hadirizmeen140
    @hadirizmeen140 2 года назад +1

    Ado machan thank you bn

  • @mannasehmbunji9921
    @mannasehmbunji9921 3 года назад +7

    This is so helpful

  • @ver0nica1982
    @ver0nica1982 2 года назад +7

    You are a wonderful teacher.

  • @balochkareem4931
    @balochkareem4931 Год назад +1

    Thank you Sir.

  • @Eliza-sm2en
    @Eliza-sm2en 2 года назад +2

    thank you

  • @josemastery955
    @josemastery955 2 года назад +1

    Expert🙌🙌

  • @ounoudmohamadhamie7872
    @ounoudmohamadhamie7872 2 года назад +1

    best of the best

  • @sidramasooma6941
    @sidramasooma6941 2 года назад +1

    Saviour 💯❤️

  • @nambulaharriet7559
    @nambulaharriet7559 2 года назад +1

    Are we not supposed to divideth e interest by 12 months since it is saying annually

  • @aryaman4068
    @aryaman4068 2 года назад +1

    This video is gold

    • @professorikram
      @professorikram  2 года назад

      Thank you Saksham! Also, I have recently created a website called SimpliTaught (www.SimpliTaught.com). It's in beta mode right now, but check it out. There, you can find curated content for your college textbooks. Would welcome any feedback.

  • @oxgn.
    @oxgn. 3 года назад +2

    How to solve the last part 10000=c(1-1/(1.08)^5/.08

  • @amyhuang3974
    @amyhuang3974 Год назад

    what if i have 3 annuities instead of once per year?

  • @sashikaudaini3477
    @sashikaudaini3477 3 года назад +3

    thank you sir

    • @professorikram
      @professorikram  2 года назад +1

      Thank you Sashika! Also, I have recently created a website called SimpliTaught (www.SimpliTaught.com). It's in beta mode right now, but check it out. There, you can find curated content for your college textbooks. Would welcome any feedback.

    • @jandogroniloa.881
      @jandogroniloa.881 2 года назад

      @@professorikram good day sir, what "t" Means for?, is it the number of payments to the given years? In my module is compounded quarterly for 3 years so the t=12?

  • @miyazaki2542
    @miyazaki2542 2 года назад +1

    sir i have a question, if it said beginning of each year, would the chart be same? or the interest be zero in the first year of installment?

    • @professorikram
      @professorikram  2 года назад +2

      Hello Miyazaki. If the payment is at the beginning of the year, then divide your answer by (1+r), where r is the interest rate. So, in the example above, you would do ($2,504.56/1.08) = $2,319.04. You will notice that the yearly payment is lower. That's because the first payment you make towards the loan is immediate and hence you don't accrue interest.
      Hope this helps!

    • @miyazaki2542
      @miyazaki2542 2 года назад

      @@professorikram thank you so much, sir, i was having a hard time understanding the loan amortization schedule, your video and explanation helped me learning it, thank you for replying to my question.

  • @ArijitMukhopadhyay
    @ArijitMukhopadhyay 2 года назад +1

    Awesome!

  • @essarbhatt585
    @essarbhatt585 2 года назад

    How to calculate cost to buy down interest

    • @professorikram
      @professorikram  2 года назад

      Hi Essar - I am not sure I fully understand your question. Can you rephrase?

  • @465marko
    @465marko Год назад

    If the bank asked me for a constant payment of "C", I think I'd get to the first one and be like "I'm broke, See?!?!"

  • @levmade
    @levmade 2 года назад +1

    this explanation is way way better than what we had at our university lecture, thank you so much!

  • @fancypants5730
    @fancypants5730 2 года назад

    I have no idea how he comes up with a loan of 10000 for 5 years at 8% to make
    the first payment of 2500???

    • @trident1409
      @trident1409 Год назад

      watch the video carefully and beforehand know what is annuity.

  • @potatoe8955
    @potatoe8955 2 года назад

    what if the repayment is monthly?

    • @Simran-oi4fi
      @Simran-oi4fi 2 года назад

      Divide interest rate with 12 then

    • @p.sahrasantiago751
      @p.sahrasantiago751 7 месяцев назад

      ​@Simran-oi4fi so instead of the rate 0.08 it would be 1.5? (Help i don't understand)

    • @p.sahrasantiago751
      @p.sahrasantiago751 7 месяцев назад

      ​@@Simran-oi4fi hopeee u coulddd responddd😭

    • @professorikram
      @professorikram  7 месяцев назад

      @p.sahrasantiago751 could you tell me a little bit about how you got 1.5?

    • @p.sahrasantiago751
      @p.sahrasantiago751 7 месяцев назад

      @professorikram Hello, I divided 12 to 8, that's why i got 1.5. (Pls enlighten me! 🙇‍♀️🙇‍♀️)

  • @Sky-pg6xy
    @Sky-pg6xy 3 года назад +2

    Just draw the whole line and then dash it :....0