Just discovered your channel, a game changer for me as struggling student ❤

thank you so much. I'm taking the ACA and learning from textbooks and a provider that doesn't explain the logic behind anything and give you a formula and say go run and do your thing. The way you explained this was perfect!

The concept is explained properly within such a short period. Great job and thank you so much.

This video was so helpful, thank you so much. Huge respect.

Exactly what I was looking for, you're a life saver!

Most practical and easy to understand way of teaching. Thanks 👍

That was soooo helpful, thank you! You explain good!

Thank you, for you concise explanation- Drawing the second time line it clicks instantly.

Atif, you did such a good job of explaining this to all viewing students. Thank you so much! It helped me grasp my homework material better.

hahah thank you bro, literally saved my exam, hopefully i will be able to get an C now in corporate finance

Just leaving a comment to help with the algorithm. Great video, helped me visualize a concept I just couldn't wrap my head around for an online class. This video is going to be my lifesaver for my midterm. Thanks!

Super helpful!

Allah apko khush rakhay bhai. Bht help hui meri

Thank you Mr Atif, concise and clear explanation

thank you! my exam is tomorrow and this helped a lot

Thanks so much for clear explanation. This is very helpful to prepare for my Cfa

thanks for making this, they're very useful for me to prepare my exams.

Thank you so much! Your video was so clear and helpful, helped me loads with understanding my lecture today!!

Thank you for this! How about when the annuity actually grows? How do we introduce the growth rate to this calculation?

Great video 👍👍

It is very helpful. Thank you so much!!

Thank you sir. This video is so helpful.

a vary goo explanaiton.got the all important points

@professorikram

2 жыл бұрын

Thanks AIK. Please also check out www.SimpliTaught.com. I have created this website (it’s free!), with lots of textbook-specific content.

Incredible video, thank you.

thank you, this was so helpful!

thanks a lot man, for saving my f*cking exam

WOW!! This was so helpful ❤️

Thanks. What would be the modifications to this be if it is compounded semi-annually?

@professorikram

3 жыл бұрын

Good question. So that depends on whether the cash flows are semi-annual or not. If you are receiving the cash flows semi-annually as well, then nothing changes - you would discount semi-annual cash flows at the semi-annual rate. For instance, if the question says "you will receive $500 every 6 months, and the annual interest rate is 6% compounded semi-annually.." then you would discount the $500s at 6%/2 = 3%, which is the semi-annual rate, and that's it. On the other hand, if cash flows are ANNUAL, and the APR is 6% compounded semi-annually, then you would first need to convert your APR (6%) into an EFFECTIVE ANNUAL RATE (EAR). I have a separate videos on how to do that. This number will be greater than 6%, and you will use this number to do your discounting. Hope this helps my friend.

thanks

Thank u sir, Ur a life saver

Thanks so much!

What is the present value of the annuity of $588.06 if you have to wait an additional year for the first payment? so waiting for the additional year for the first payment also mean the delayed annuity-like the concept you just explained? someone who knows pls reply

How do we find the delayed annuity for semi annual question? Also if the interest rate is compounded monthly?

@professorikram

3 жыл бұрын

Hi Kaur - That's a great question. The key is to make sure that the timing of the cash flows and the interest rate are consistent with each other. In other words, annual cash flows need to discounted at the EFFECTIVE annual rate, semi-annual cash flows need to be discounted at the EFFECTIVE semi-annual rate, and so on. Let me give you 2 examples: Example 1: Let's suppose you will receive $100 every YEAR for the next 5 years (so 5-year annuity, annual cash flows), and the interest rate (APR = 6%) COMPOUNDED SEMI-ANNUALLY. In this case, when you wait one year for the first $100 to come in, you are not just losing 6%/12 = 0.5% every month. Rather, you are also losing interest on that interest income (compounding effect). So, technically, as you are waiting one year for $100 to come in, EFFECTIVELY you are losing MORE THAN 5%. To determine the appropriate rate, you need to figure out your EFFECTIVE ANNUAL RATE, which is (1+6%/12)^12 - 1 = 6.1678%. So you will calculate the PV of this $100 annuity using 6.1678% as your discount rate. Example 2: Same as above, except that you will receive $100 every 6 months for the next 5 years; interest rate is still 6%, compounded monthly. In this case, you need to figure out the EFFECTIVE SEMI-ANNUAL RATE that is consistent with the SEMI-ANNUAL cash flows. And the key, again, is to realize that as you wait 6 months for the first $100, you are not JUST losing 3% interest rate (6%/2); rather, because interest is compounding MONTHLY, you are losing MORE than 3%. How much, exactly? You do the same thing as in Example 1 above, but now only compound the monthly rate SIX times - meaning EFFECTIVE SEMI-ANNUAL RATE = (1+6%/12)^6 - 1 = 3.0378%. The KEY is to make sure that the timing of the cash flows is ALIGNED with the appropriate EFFECTIVE RATE. I am glad you asked this question. I'll make a separate video on this too. But hope this illustration helps!

respects, makes sense now

Living legend

Thanks

THANK U KING

THANK YOU

So, if your savings only has one payment, and that payment is delayed by two years, you would use an exponent of 2 and still come up with the correct answer for PV?

@professorikram

2 жыл бұрын

If I understand your question correctly, then yes, you’re right.

thank you so much

Good day sir, I got a question to ask Jamila wishes to provide $500 pocket money to her son every month when he turns 17 for 5 years. Her son is now 12 years old. If she can earn interest of 12% pa compounded quarterly, how much does she need to invest today to provide these payments? I dun have idea on it could sir help me pls thanks

@professorikram

2 жыл бұрын

Hey Lee. Sorry for the delayed response. This is a tricky one, since payments are monthly and compounding is quarterly. Rather hard/time consuming to explain in writing. But I'll try to make a video on this separately.

THANK YOU!!

Hello sir could you make a video for present value of deferred annuity due. I have a doubt regarding the time as in your video for present value of an ordinary differed annuity we take T-1 years. Do we do the same for present value of deferred annuity due

@professorikram

4 жыл бұрын

JOHAAN THOMAS if an annuity due is deferred, then you will need to discount it back by T years, not T-1, as is the case with the “ordinary” deferred annuity. Thanks for pointing it out; I’ll try to make a supporting video to illustrate this point. Cheers!

Thank you

Is there an excel sheet template for this calculation ? Or an online calculator ?

@professorikram

2 жыл бұрын

No, not to my knowledge.

Hey, sorry. I don't understand how you managed to get 3001.02 from the PV formula. Little help?

@professorikram

3 жыл бұрын

Hi Jaelu - Sure. In this example, C = 500, r = 0.04, and T = 7. So, PV = 500 x ( [1 - (1/(1.04)^7] )/(0.04). 1.04^7 solves to 1.3159, and 1/1.3159 = 0.759918. So, PV = [500 x ( 1- 0.759918) ] / (0.04) --> PV = 500 x (0.240082/0.04) --> This math should give you $3001.02.

@jaelualec3932

3 жыл бұрын

@@professorikram I get it now, thanks!

Tyty

thank you, this was so helpful!