How to Calculate Spot Rates and Forward Rates in Bonds

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  • Опубліковано 7 лют 2025

КОМЕНТАРІ • 113

  • @RyanOConnellCFA
    @RyanOConnellCFA  Рік тому +3

    🔑 Join this channel to get access to perks & support my work: ua-cam.com/channels/Akyj2N9kd0HtKhCrejsYWQ.htmljoin
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  • @gomezchris276
    @gomezchris276 2 роки тому +34

    This video helped… ALOT. Currently a finance 5th year college student taking a multinational financial management class and this has been a topic i have been failing to grasp due to the language barrier with the professor. Thank you man. Subscribed

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому +2

      Thank you Chris! I'm glad the video was so helpful for you

  • @laurawong1026
    @laurawong1026 2 роки тому +13

    Omg I couldn't figure out what was going on reading the textbooks... Your video is my savior. Thank you so much for making this video!

  • @dennisb.3485
    @dennisb.3485 7 місяців тому +3

    I'm in the CFA Level 1 curriculum now for the November exam - this explained it so much easier than the CFA lesson. You just got to the point instead of all the bullcrap that doesn't matter.

    • @RyanOConnellCFA
      @RyanOConnellCFA  7 місяців тому +1

      Thank you for that Dennis and goodluck with CFA Level 1! I've got a decent chunk of the L1 curriculum covered on my channel so you can likely find some more relevant videos in the future

    • @hatimbearingwala7189
      @hatimbearingwala7189 7 місяців тому +1

      Hey, I am also registered for CFA level 1 nov attempt
      It would be nice to connect with you

    • @RyanOConnellCFA
      @RyanOConnellCFA  5 місяців тому

      @@hatimbearingwala7189 Hey, feel free to reach out on LinkedIn

  • @alexmacdonald9352
    @alexmacdonald9352 27 днів тому +1

    Hugely appreciate this got my level 2 exam in May and this was solid better than my instructor and I’m being serious legend

    • @RyanOConnellCFA
      @RyanOConnellCFA  24 дні тому

      Thank you Alex, I really appreciate your feedback! Goodluck on the test and keep working hard 💪

  • @Bulkybhaivlogs
    @Bulkybhaivlogs 2 роки тому +11

    I was studying about this and got so confused. Thank you for making it easy and simple. 🥰

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому +1

      My pleasure Shanky, it is easy to overcomplicate this! But realistically its a very simple topic

  • @jaker5230
    @jaker5230 2 роки тому +5

    On my third attempt of CFA L1 and found this to be very helpful. Thank you

  • @QuidProqu0
    @QuidProqu0 2 роки тому +5

    I skipped this class and was so freaking lost. Thanks brother!

  • @saryu4693
    @saryu4693 9 днів тому +1

    Really helpful, thanks!

  • @Gardnerville
    @Gardnerville Рік тому +3

    Thanks a lot. Much better explanation than my professor 🎉

  • @AmberBell1312
    @AmberBell1312 10 місяців тому +1

    OH MY GOD!! Its that easy?!!!! Thank you so much!

  • @Ammankhan66
    @Ammankhan66 Рік тому +2

    Thank you! this was very helpful for CFA level 1 prep

  • @benedictkaruru7893
    @benedictkaruru7893 2 місяці тому +1

    You are a star

  • @raekang2945
    @raekang2945 Місяць тому +1

    Goat

  • @alebesheva
    @alebesheva 2 роки тому +3

    God bless u. I have fixed income exam tomorrow 🙏🏻

  • @KanchanaDilrukshi-vp9xu
    @KanchanaDilrukshi-vp9xu Рік тому +2

    Thank you for amazing explanation and making it easy... Short and sweet understandable session....

  • @alex_zhy
    @alex_zhy 9 місяців тому +1

    Thank you, Ryan, very useful!👍

  • @siddharthkaushal5194
    @siddharthkaushal5194 11 місяців тому +1

    Thanks Ryan. This was a great explanation!

  • @hyk222
    @hyk222 Рік тому +1

    Thank you for your valuable lecture so much, Ryan !!!😍

  • @pranjalsingh8220
    @pranjalsingh8220 Рік тому +1

    Thankyou for making it simple

  • @swagat369
    @swagat369 10 місяців тому

    Hi Ryanb... thank you so much for the video ..just wanted to understand the practicality in the real life scenario of forward rates

    • @hunthebug
      @hunthebug 10 місяців тому

      I’m not taking these classes and I was interested too. 0 clue why it matters if the F2,3 is equivalent to earning __% compounded 3 times. Is it just coincidence or what? Too smart 4me.

  • @alonablase766
    @alonablase766 2 роки тому +2

    Very helpful to me, thank you for creating this video!

  • @purpleblush7106
    @purpleblush7106 Рік тому +1

    so simple and clear. thank you.

  • @quotespool
    @quotespool Рік тому +1

    simple,easy and nice explaination

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому +1

      Thank you! And I love the Thor's hammer avatar you have

    • @quotespool
      @quotespool Рік тому +1

      @@RyanOConnellCFA 😁😁

  • @nhiquynh6046
    @nhiquynh6046 Рік тому +1

    Thank a lot. You explain extremely clearly.

  • @mpcorera
    @mpcorera Рік тому +1

    thank you!

  • @RashidaParveen-hu8pl
    @RashidaParveen-hu8pl 8 місяців тому

    Great help really ...thanks a lot 👍

  • @Shafs-x2z
    @Shafs-x2z 2 роки тому +2

    Thank you for this video. I couldn't fully wrap my head around the relationship and mechanics of spot rates and the forward rate until you started explaining it at 5:55, but then it all made sense.
    Do you think you will make videos on option valuation as well?

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому +1

      I appreciate the feedback Dominik! Glad to hear it is starting to stick for you Dominique. I will absolutely make videos covering option valuation in the future. It is not a matter of "If", its a matter of "When" haha

  • @RashidaParveen-hu8pl
    @RashidaParveen-hu8pl 3 місяці тому +1

    Great 👍

  • @darshanmakwana
    @darshanmakwana Рік тому +1

    HI Ryan, wouldn't the forward rate that starts from 1 year for 1 year be denoted as F(1,1)?

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      Hey there, it depends on the syntax that you use! You would be correct for the CFA textbooks

  • @saiv-vy2ok
    @saiv-vy2ok 9 місяців тому

    Thankyou mate
    Appreciate your work

  • @johnsteve870
    @johnsteve870 Рік тому +1

    Great explanation thank you!!!

  • @StockDaddyGurugram
    @StockDaddyGurugram 6 місяців тому +1

    thanks buddy

  • @gracebarwe1474
    @gracebarwe1474 5 місяців тому +1

    Brilliant

  • @ericfenton2116
    @ericfenton2116 Рік тому +1

    Great video--thanks!

  • @rolanddes
    @rolanddes Місяць тому

    But what is swap curve then? It seems like I for years thought Spot rate curve was Swap curve.

  • @gabrielverapr
    @gabrielverapr 2 роки тому +2

    Support great video! Thanks for the help!

  • @CamilaHernandez-q8h
    @CamilaHernandez-q8h Рік тому +1

    Hi! how did you get 9.04% at 3.48 seconds. i am so confused lol pls help me!

  • @matthewwashburn4356
    @matthewwashburn4356 Рік тому +1

    Wouldn't the fwd rate be f2,1 @ 1:31 (not f2,3)? thanks

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      It depends on the notation you use or the video you are looking at. For the CFA textbooks I think you are correct

  • @johncolgan6039
    @johncolgan6039 Рік тому +1

    God bless you, mate.

  • @minif4046
    @minif4046 Рік тому +1

    So can there be a spot rate at 0? Which is S0?

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      I don't think there can be a spot rate for 0 because that means you would just lend money and receive it back instantaneously which doesn't make intuitive sense

    • @minif4046
      @minif4046 Рік тому +1

      @@RyanOConnellCFA thank you!

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      @@minif4046 My pleasure!

  • @heshanpalliyaguruge6333
    @heshanpalliyaguruge6333 Рік тому +1

    Thank you sir

  • @kunal_nandurkar21
    @kunal_nandurkar21 Рік тому +1

    Thanks!

  • @francoribles7187
    @francoribles7187 2 роки тому +2

    i think you made a mistake in the example of foward rates at the beginning , the foward rate starting in t=2 and lasting 1 year is the 2y1y not 2y3y

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому

      Franco, based on the CFA textbooks you are correct! Some other textbooks use the terminology I used in this video. I made an updated version of this video with the terminology used in by the CFA here: ua-cam.com/video/ZOBeh-utLTE/v-deo.html

  • @enock_elk
    @enock_elk 2 роки тому +1

    Thank You!

  • @omarbadahri4879
    @omarbadahri4879 2 роки тому +1

    it's really helpful.

  • @sandeepsagar6171
    @sandeepsagar6171 Рік тому +1

    Thanks a ton!

  • @coraliesw3626
    @coraliesw3626 Рік тому +1

    Thank you

  • @ChristosPapas-t2t
    @ChristosPapas-t2t Рік тому +1

    how do we calculate f(1,3) in this case?

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому +1

      (1 + S3)^3 = (1+S1)*(1+ f(1,3))^2
      1.08^3 = 1.05 * (1+ f(1,3))^2
      1.2597 / 1.05 = (1+ f(1,3))^2
      (1.1997)^(1/2) - 1 =f(1,3)
      f(1,3) = 9.53%

  • @badrhajji1552
    @badrhajji1552 2 роки тому +1

    Suppose the 7-year spot interest rate is 9 percent and the 5-year spot rate is 6 percent.
    What is the implied forward rate on a 2-year bond originating 5 years from now.
    I wanna know how to approach this case

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому +1

      This is an easy one my friend! See the formula below:
      (1 + 0.09)^7 = (1 + 0.06)^5 * (1 + f)^2
      Solve for f:
      f = 31.01%

  • @ankitgem
    @ankitgem Рік тому +1

    so if i want to lend someone money one year from now for 2 years that would be F1,3
    and the calculation for that would be (1+S3)^3 = (1+S1)(1+S2)^2(1+F1,3) right?
    please correct me if I'm wrong

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      You're right that using the terminology I used in this video, you would call that F1,3
      For that I would use this formula:
      (1+S3)^3 = (1+S1)*(1+F1,3)^2
      That forward rate needs to be compounded twice as it is a 2 year forward

  • @augustusg857
    @augustusg857 2 роки тому +2

    But how do you calculate a spot rate?

    • @RyanOConnellCFA
      @RyanOConnellCFA  2 роки тому +1

      Augustus, imagine you have the 1 year forward rate for the first year and the second year. You could solve for the first formula I used in the video, but this time you'd need to solve for the left side and not the right side

  • @brightmind5345
    @brightmind5345 Рік тому +1

    Thanks, Ryan for the explanation, for me, it just does not make any sense to calculate the forward rates from spot rates, because such calculation will always produce a higher rate, which could postpone the investment decision. with the compounding effect, you will always end up with a higher rate and therefore, instead of lending today, you will prefer to lend next year. using forward rates in capital budgeting will certainly increase the hardel rate dramatically and might lead to a decision, not to accept a project!. mathematically, there is no problem for me, but the application of that concept is my concern.

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      My pleasure! This isnt necessarily true. Forward rates will generally be higher than spot rates with a consistently upward sloping yield curve, meaning spot rates expiring further in the future are higher than the more recently expiring spot rates. If this is not the case, and the yield curve is downward sloping, then some of the forward rates should actually be lower than some of the spot rates. It is possible you've only seen examples wihth upward sloping yield curves

    • @brightmind5345
      @brightmind5345 Рік тому

      @@RyanOConnellCFA I understand that at normal market conditions the yield curve will has upward slope, this is why I particularly spoke about the increase of future rate. Ofc if the yield curve has downward slope, we will have forward rates lower than spot rates. The only thing I am not able to digest is the application of the forward rates!

  • @Noah______________
    @Noah______________ Рік тому

    helpful visual but you are quoting your forward rates incorrectly. the correct way to quote a 1yr forward 2yrs from today (which you quote as F2,3) is actually F2,1

    • @RyanOConnellCFA
      @RyanOConnellCFA  Рік тому

      Hey Noah, it depends on the textbook your referencing. You have got the right format for the CFA Institutes books there. I've got another video with that way of quoting them here: ua-cam.com/video/ZOBeh-utLTE/v-deo.html

  • @finotips
    @finotips Рік тому

    your forward notation is wrong...

  • @Ankoor_Kulkarni
    @Ankoor_Kulkarni Рік тому

    🫡