Very good video with clearly explanations! I do not have any financial experience, but after I watched several videos to learn how to calculate FV, I found this one is the best one!! Please make an video for "future value of an uneven annuity" Thank you!!!
hi. thank you. this helps very much. however, it needs 1 correction. the sum of geometric series is a(1-r^n+1)/(1-r) (you missed n+1) having been derived from n+1 terms (r^0 to r^n) in the series. the annuity series on the other hand goes only up to n-1. when you substitute i into r (minute 9:40) it becomes ... (1+i)^[(n-1)+1] then only you get the correct final formula.
Hehe.... Actually in RSA they are called Hadidas from the sound they make (ha-haaa-ha), large dark grey birds with a long (20 cm) thin sharp beak - but you are right they like series: ha;haaa;ha...
x+x(1+0)+x(1+0)^2+x(1+0)^3+...+x(1+0)^(n-2)+x(1+0)^(n-1) = x+x+x+x+...+x+x =nx So if you have a 0 interest rate and you make n payments of x then you have nx saved.
How would the formula change if there was already money in the account at time zero? say you start investing a small recurring payment into an account where there was already 10k ?
thank you Sir. by only understanding how the formula work, we can remember the formula and understand the meaning for the finance concept. Great work
God bless you
Thank you for detailed explanation, It helped me with formula understanding :)
oh my god youre an absolute legend ive been looking for this for HOURS thank you so much
Very good video with clearly explanations! I do not have any financial experience, but after I watched several videos to learn how to calculate FV, I found this one is the best one!! Please make an video for "future value of an uneven annuity" Thank you!!!
hi. thank you. this helps very much. however, it needs 1 correction. the sum of geometric series is a(1-r^n+1)/(1-r) (you missed n+1) having been derived from n+1 terms (r^0 to r^n) in the series. the annuity series on the other hand goes only up to n-1. when you substitute i into r (minute 9:40) it becomes ... (1+i)^[(n-1)+1] then only you get the correct final formula.
Brilliance
Thank you so much sir for the derivation of this formula . As this video gives me clarity regarding this concept👍👍👌👌
Awesome!!!
There is nothing better than finding a familiar accent on a tutorial
Ha! And there are few things better than a nice comment on a youtube vid ;)
Thanks Sir. It helps a lot!!
This is a great explanation, thank you very much
Hello, just wanna ask why does the series started from the last term instead of the first? Thank you!
maadar bhagat👍
Thank you so much
Superb explanation ..You are God of mathematics. I request you to also make more videos on financial mathematics
Very Helpful! Thanks!
Thank you for the explanation!
Hehe.... Actually in RSA they are called Hadidas from the sound they make (ha-haaa-ha), large dark grey birds with a long (20 cm) thin sharp beak - but you are right they like series: ha;haaa;ha...
Thought you were from sunny South Africa. Thanks for the video :)
Magical!!! That is all I can say :)
Great explanation, thank you!
Thank u
Thank you so much, sir.
Question: what happens if the interest rate is 0 %? The FV should be n*a?
What trick do you apply to the formula?
x+x(1+0)+x(1+0)^2+x(1+0)^3+...+x(1+0)^(n-2)+x(1+0)^(n-1)
= x+x+x+x+...+x+x
=nx
So if you have a 0 interest rate and you make n payments of x then you have nx saved.
How would the formula change if there was already money in the account at time zero? say you start investing a small recurring payment into an account where there was already 10k ?
What would the formula be if it was ONLY the original investment earning interest?
Thankyou so much sir🙏
very clear.. thank you..
excellent video
thank you contributor.
Only 6 K subscribers on an educational channel.......Clearly shows where the millenials' interest lies........Best of luck from my side......👍
10:53 seagull likes series
SA dude xD