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Present Value of a Delayed Perpetuity

This video explain an EXTREMELY IMPORTANT calculation that many students find confusing. The present value of "ordinary" perpetuity formula (PV = C/r) can only be used when the FIRST cash flow is occurring one time-period into the future.
However, there can be instances where the perpetuity is "delayed", i.e. the first cash flow occurs MORE than one year into the future (You will see applications of this in more advance finance classes). In such cases, the PV = C/r "ordinary" perpetuity formula needs to be augmented. In this video, I explain how (using an example).
ABOUT ME:
My name is Atif Ikram. I am a member of the finance faculty at Arizona State University's W.P. Carey School of Business (wpcarey.asu.ed.... I love to teach! Over the past few years, I have taught a variety of economics and finance courses to undergraduate and graduate students at Rutgers University, Wayne State University, and Lahore University of Management Sciences (LUMS, Pakistan). Presently I teach advance corporate finance courses at ASU.
Follow me on LinkedIn:
/ atif-ikram-654a309
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/ atif.ikram.7

Пікірлер: 53

  • @ChetanRanjanEd-Wise
    @ChetanRanjanEd-Wise2 жыл бұрын

    This is just awesome Simplicity level infinity Awesomeness level infinity Respect for you sir infinity 🔥🔥

  • @TheHDPerson
    @TheHDPerson10 ай бұрын

    I love your videos Prof Ikram. You have seriously helped me. Thank you so much. I pray you have good things happen to you.

  • @thatwasinteresting3319
    @thatwasinteresting33193 жыл бұрын

    Thanks. You are a great teacher. Strong work. People like you are the future of education

  • @manuelchamp7154
    @manuelchamp71543 жыл бұрын

    Thank you so much.. God bless you... We want more of this.. This is helping with my FM exams

  • @xrlim9135
    @xrlim91352 жыл бұрын

    please continue to make more videos! Words can't describe how grateful am I after understanding this concept as I have been kept thinking about these questions but can't figure it out.

  • @khenkhen08
    @khenkhen083 жыл бұрын

    Thank you for making me understand this topic. More power!

  • @iraismorales9016
    @iraismorales90162 жыл бұрын

    You just gained another subscriber 😎 I love the simplicity in which you teach these usually over complicated topics.

  • @xkidmidnightx
    @xkidmidnightx4 жыл бұрын

    Best teacher on here

  • @temiolatunji8730
    @temiolatunji87302 жыл бұрын

    Thank you for the explanation. Amazing!

  • @benlevy3339
    @benlevy33392 жыл бұрын

    Awesome explanation, thank you so much!

  • @ebtisamalhunaidi1462
    @ebtisamalhunaidi146210 ай бұрын

    omg u are the best ever Please keep making more videos

  • @amashmlk7543
    @amashmlk75435 жыл бұрын

    Very well explained sir

  • @gajendrakc813
    @gajendrakc813 Жыл бұрын

    Thank you Sir.

  • @Abdullah97484
    @Abdullah974844 жыл бұрын

    YOUR AMAZING!! I'm now subscribing

  • @alxlscn6036
    @alxlscn60362 жыл бұрын

    Thank you I finally understand it!!

  • @quangdatan8483
    @quangdatan84832 жыл бұрын

    you save me sir, salute.

  • @claireong8663
    @claireong86634 жыл бұрын

    Thank you so much for making this video!

  • @professorikram

    @professorikram

    4 жыл бұрын

    June Ong You bet! More coming soon.

  • @onetonist
    @onetonist4 жыл бұрын

    Considering that the normal perpetuity starts paying at year 1, shouldn’t we say that the delay is 2 years? I mean, the calculation comes up to the same. I just wanted to point out the confusion with the wordings

  • @professorikram

    @professorikram

    4 жыл бұрын

    Hi K J. I understand your point. However, if I had done it the way you are suggesting and said "this perpetuity is delayed by 2 years", but then showed the first cash flow occurring after 3 years, that may have caused confusion of its own. That said, you are absolutely right. I appreciate that comment and will keep that in mind for future videos.

  • @hamishmcainsh7835
    @hamishmcainsh78354 жыл бұрын

    Thank you so much, really great!

  • @tk6376
    @tk63762 жыл бұрын

    God damit your content are clear as ozone Hole

  • @oshinsharma7398
    @oshinsharma73984 жыл бұрын

    Just amazing.

  • @kimmyc8398
    @kimmyc83982 жыл бұрын

    is the calculation the same if the question changed to "you will get the first $500 that begins at the end of year 3" ?

  • @shivangikesharwani3428
    @shivangikesharwani34283 жыл бұрын

    What if the amount pays $11000 every 3 years starting 7 years form today, then how to solve?

  • @professorikram

    @professorikram

    3 жыл бұрын

    I’ll make a video on this my friend. But first convert the APR into the three year “effective rate” by doing (1+r)^3-1. Now you have a three year rate, which maps the periodicity of your cash flows. So make a new time line in which each time period represents a three year period on the original time line. In the example that you have given, this would mean that you would get $110,000 starting in “period” 2 (6 years on the original time line). You can determine the PV using delayed perpetuity formula (the subject of this video). This will completely not solve your problem because the PV you will get from this will be at the end of Year 1 on your original time line. But that’s a simple discounting exercise - just discount that number back one year using your ORIGINAL APR. lot of info here but hope you see the logic. Will make video on this too. Thanks for asking.

  • @ReymartRodriguez
    @ReymartRodriguez10 ай бұрын

    hello sir, i don't understand 1.04 came about? can you please explain it

  • @professorikram

    @professorikram

    10 ай бұрын

    Sure. Interest rate is 4% which is 0.04. So (1+0.04) gives you 1.04.

  • @TheMendo123
    @TheMendo1234 жыл бұрын

    So does the present value of a perpetuity starting in one year have the same value as one starting today?

  • @professorikram

    @professorikram

    4 жыл бұрын

    Hi Joe. No, that perpetuity would be worth more. In fact, we call such a perpetuity a perpetuity DUE. Here is a video that explains the PV of that perpetuity: kzread.info/dash/bejne/fH9pj6V7ZpyseM4.html Feel free to reach out if you need additional clarification.

  • @A28049
    @A280494 жыл бұрын

    Very helpful thank you. Just wanted to know why we couldn't just start the perpetuity at year 3 using the PMT/r formula? then take your answer and discount it 3 years back. This is how i have it in my example. But in my case the perpetuity was paid 2 years from today. So basically they still used the perpetuity formula

  • @professorikram

    @professorikram

    4 жыл бұрын

    Hello Ayesha - So the PMT/r formula to value a perpetuity ONLY works if the first payment that you are getting is ONE YEAR FROM TODAY (i.e. the present). Put differently, if you had started your hypothetical time line at Year 3 (instead of Year 2, as I did), then the first payment would be occurring at Year 3 as WELL, which means that you could NOT have applied PMT/r formula to value it [In fact, the correct formula would have been PMT [(1+r)/r] : For more details check out my Present Value of Perpetuity Due Video: kzread.info/dash/bejne/fH9pj6V7ZpyseM4.html]. ALWAYS REMEMBER: PMT/r can ONLY be used when the first cash flow of the perpetuity is starting one time period from today.

  • @A28049

    @A28049

    4 жыл бұрын

    Thank you so much!!! Please keep making more videos, really appreciate it!@@professorikram

  • @professorikram

    @professorikram

    4 жыл бұрын

    Aisha FYI I have recently confounded a platform, www.SimpliTaught.com. It contains a lot of useful videos mapped to specific business textbooks. Check it out, you may find it useful.

  • @A28049

    @A28049

    4 жыл бұрын

    Thank you, sir!😁😁 @@professorikram

  • @asifmuhammad1704
    @asifmuhammad17042 жыл бұрын

    Uff that's was so helpful

  • @professorikram

    @professorikram

    2 жыл бұрын

    Gad to hear it Asif!

  • @regnardsilanga4011
    @regnardsilanga4011 Жыл бұрын

    how to calculate the NPV if not given the discount rate ?

  • @urduwithatif

    @urduwithatif

    Жыл бұрын

    You can’t calculate NPV without a discount rate. If not given, you need to estimate it.

  • @MrNachoman21
    @MrNachoman213 жыл бұрын

    Thank you !

  • @hdqtbvh3172
    @hdqtbvh31724 жыл бұрын

    Thanks

  • @eda3165
    @eda31653 жыл бұрын

    If in delayed years, i mean in year 1 and 2, i have a cash flows for example 200 for year 1 300 for year 2, what will i do?

  • @professorikram

    @professorikram

    3 жыл бұрын

    Hi Eda. That wouldn’t be a perpetuity then, and you would t be able to use this formula. In a perpetuity, the cash flow has to be the SAME every time period. If cash flows are not the same then you would have to discount all cash flows individually. Advance mathematical techniques can be used too, but that’s beyond the scope.

  • @eda3165

    @eda3165

    3 жыл бұрын

    @@professorikram Thank you! My lecturer asked us a question. In that question in year 1 2 and 3 cash flows are 850, in year 5, 6 and 7 cash flows are 500 in year 8 it is 850 and in year 9 it is 700. Starting in year 10 to infinity there are 500 cash flows. Can't i use perpuity like your example and then add previous cash flow to it ?

  • @acoessimples8453
    @acoessimples84533 жыл бұрын

    what software is this ? ty

  • @gregmcloughlin7339
    @gregmcloughlin73394 жыл бұрын

    when do you deduct the initial investment?

  • @professorikram

    @professorikram

    4 жыл бұрын

    HI Greg. Great question. You subtract the initial investment when, well, there IS an initial investment. The number that you would get in that case would be NET present value, i.e. present value that is NET of the initial investment. In this example, if your uncle had additionally said, "You can purchase this perpetuity from me for $1,000", then the NET present value of this purchase (or investment) would have been $11,557 - $1,000 = $10,557. Is it a "good" investment? Yes, of course. Because it is literally like someone asking you "Would you give $1,000 today, if I gave you $11,557 back TODAY [Remember, $11,557 is PRESENT value]". Your answer to that would be .... HELLS YEAH, right? Which is why, whenever NET present value > 0, the BENEFIT is > COST, and therefore all positive NPV > 0 investments are considered "good" investments. Hope this helped! Feel free to ask more questions. Cheers!

  • @HieuNGuyen-mb1dc

    @HieuNGuyen-mb1dc

    7 ай бұрын

    You must be a really good teacher.

  • @HieuNGuyen-mb1dc

    @HieuNGuyen-mb1dc

    7 ай бұрын

    @@professorikram your answer could not be more comprehensible. Thank you from Vietnam.

  • @MrsGG-id1os

    @MrsGG-id1os

    6 ай бұрын

    @@HieuNGuyen-mb1dcwe are bless to have found him

  • @MrsGG-id1os

    @MrsGG-id1os

    6 ай бұрын

    @@professorikramthank you for your generosity and time spent explaining this to us all

  • @tinal3991
    @tinal39913 жыл бұрын

    cheeers!

  • @loum1029
    @loum10293 жыл бұрын

    I dont understand how the 1.04 came about