Future Value of Annuities | Exam FM | Financial Mathematics Lesson 11 - JK Math

[@morningshiindi7496]

Nice work 🙏🏽

[@Mel-neveah]

Awesome content

[@JKMath]

Thank you!!

[@calebagyei2690]

You're saving lives😭❤️

[@BalnurYeraly]

Thank you sir for your endeavours 😊

[@GF86123]

Thank you! Very helpful.

[@JKMath]

You're welcome! :)

[@farhaankhodabaccus3466]

Why isn't it (1+r^n) ÷ (1-r)? 3:35

[@JKMath]

The exponent needs to be n+1 because of the way the terms are structured in this geometric series. Notice that the first term is for n=0, so there are a total of n+1 terms when you include the n=0 term. If we were starting at n=1, then it would just be r^n as there would be n terms. Does that make sense? Let me know if this helps!

[@farhaankhodabaccus3466]

​@@JKMathcan you do its derivation pls

[@JKMath]

​@@farhaankhodabaccus3466 This FM course assumes that you have a background in calculus, because you will need to use calculus for certain topics, so that is why I do not show the derivation of the geometric sum formula, it is something that you learn in calculus. Geometric sums are not the focus or purpose of this video, it is about calculating the future value of annuities. With that being said, I do derive the formula for the sum of a geometric series in Lesson 22 of my Calculus 2 series, which you can watch here: kzbin.info/www/bejne/lWPOf2RrrM6Jr5o Hope this helps!

[@farhaankhodabaccus3466]

​@@JKMaththank you for your unflinching support ... god bless