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Krzysztof Ostaszewski (Pass Actuarial Exams)
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Добавлен 5 июл 2012
From here to BTDT: Actuarial exams problems with solutions.
View continuation of this channel at: smartURL.it/PassActuaryExams
By Krzysztof Ostaszewski, Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio
Information about me: smartURL.it/jedi
How to pass actuarial exams: smartURL.it/pass
My video channel: smartURL.it/PassActuarialExams
Online seminars for actuarial exams: smartURL.it/onlineactuary
Exam P manual: smartURL.it/BTDT-P
Exam FM manual: smartURL.it/BTDT-FM
Exam LTAM manual: smartURL.it/BTDT-LTAM
Exam IFMmanual: smartURL.it/BTDT-IFM
Actuarial Program at Illinois State University: smartURL.it/actuary
Please support our actuarial students: smartURL.it/helpISUactuary
View continuation of this channel at: smartURL.it/PassActuaryExams
By Krzysztof Ostaszewski, Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio
Information about me: smartURL.it/jedi
How to pass actuarial exams: smartURL.it/pass
My video channel: smartURL.it/PassActuarialExams
Online seminars for actuarial exams: smartURL.it/onlineactuary
Exam P manual: smartURL.it/BTDT-P
Exam FM manual: smartURL.it/BTDT-FM
Exam LTAM manual: smartURL.it/BTDT-LTAM
Exam IFMmanual: smartURL.it/BTDT-IFM
Actuarial Program at Illinois State University: smartURL.it/actuary
Please support our actuarial students: smartURL.it/helpISUactuary
Lecture from May 3, 2021
By Krzysztof Ostaszewski
Distinguished Professor of Mathematics and
Actuarial Program Director at Illinois State University.
My short bio: smartURL.it/krzysiobio
Information about me: smartURL.it/jedi
How to pass actuarial exams: smartURL.it/pass
My RUclips channel: smartURL.it/PassActuarialExams
Online seminars for actuarial exams: smartURL.it/onlineactuary
Exam P manual: smartURL.it/BTDT-P
Exam FM manual: smartURL.it/BTDT-FM
Exam LTAM manual: smartURL.it/BTDT-LTAM
Exam IFM manual: smartURL.it/BTDT-IFM
Actuarial Program at Illinois State University: smartURL.it/actuary
Please support our actuarial students: smartURL.it/helpISUactuary
Distinguished Professor of Mathematics and
Actuarial Program Director at Illinois State University.
My short bio: smartURL.it/krzysiobio
Information about me: smartURL.it/jedi
How to pass actuarial exams: smartURL.it/pass
My RUclips channel: smartURL.it/PassActuarialExams
Online seminars for actuarial exams: smartURL.it/onlineactuary
Exam P manual: smartURL.it/BTDT-P
Exam FM manual: smartURL.it/BTDT-FM
Exam LTAM manual: smartURL.it/BTDT-LTAM
Exam IFM manual: smartURL.it/BTDT-IFM
Actuarial Program at Illinois State University: smartURL.it/actuary
Please support our actuarial students: smartURL.it/helpISUactuary
Просмотров: 145
Видео
Video lecture on estimation of transition intensities in multiple states models
Просмотров 143Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
No Arbitrage Pricing Exercises
Просмотров 207Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Poisson Processes Lecture by Krzysztof Ostaszewski
Просмотров 208Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Lecture on common stocks and preferred stocks
Просмотров 73Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Lecture on yield curve and multivariate immunization
Просмотров 40Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Lecture on immunization
Просмотров 49Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Lecture on convexity
Просмотров 35Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Video lecture on duration
Просмотров 55Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Health Insurance IBNR Reserves Basics
Просмотров 663Год назад
By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartURL.it/onlineactuary Exam P manual: smartURL.it/BTDT-P Ex...
Lecture on Arbitrage Free Pricing for October 24, 2021
Просмотров 4043 года назад
Lecture on Arbitrage Free Pricing for October 24, 2021 By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: smartURL.it/PassActuarialExams Online seminars for actuarial exams: smartUR...
Exam IFM exercise for November 21, 2019
Просмотров 4143 года назад
Exam IFM exercise for November 21, 2019, Spring 2009 Course MFE/3F Examination, Problem No. 17, video solution: smartURL.it/KO-IFM-Exercise168 By Krzysztof Ostaszewski, Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: smartURL.it/pass My RUclips channel: ...
Exam LTAM exercise for June 2, 2021
Просмотров 2563 года назад
Exam LTAM exercise for June 2, 2021, Fall 2006 Society of Actuaries Course M Examination, Problem No. 11, also Study Note MLC-09-13, Problem No. 214, and Dr. Ostaszewski’s online exercise posted January 27, 2007, video solution: smartURL.it/KO-LTAM-Exercise321 By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bi...
Exam LTAM exercise for January 19, 2021
Просмотров 2513 года назад
Exam LTAM exercise for January 19, 2021, Fall 2020 Course LTAM Examination, Multiple Choice Section, Problem No. 11, video solution: smartURL.it/KO-LTAM-Exercise285 Go to: smartURL.it/PassActuaryExams for later videos By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about...
Exam LTAM exercise for January 18, 2021
Просмотров 1793 года назад
Exam LTAM exercise for January 18, 2021, Fall 2020 Course LTAM Examination, Multiple Choice Section, Problem No. 10, video solution: smartURL.it/KO-LTAM-Exercise284 By Krzysztof Ostaszewski Distinguished Professor of Mathematics and Actuarial Program Director at Illinois State University. My short bio: smartURL.it/krzysiobio Information about me: smartURL.it/jedi How to pass actuarial exams: sm...
Exam LTAM exercise for January 17, 2021
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Exam LTAM exercise for January 17, 2021
Exam LTAM exercise for January 16, 2021
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Exam LTAM exercise for January 16, 2021
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Exam LTAM exercise for January 15. 2021
Exam LTAM exercise for January 13, 2021
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Exam LTAM exercise for January 13, 2021
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Exam LTAM exercise for January 12, 2021
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Exam LTAM exercise for January 3, 2021
In the solution, the displayed formulas should be: $922.78 - $845.57 = $77.21. and $922.78 + 4·$77.21 = $1231.62. Apologies for typos in the formulas shown in this solution.
There is a typo in the solution, the third formula: Instead of: 1.0349103^1.5 in the denominator, it should be 1.03510988^1.5.
I might be late, but can someone explain why we needed to get the determinant?
Because we are working to find the joint density of a transformed bivariate random vector, and that's the standard procedure for that. Unless you are asking for the proof. The proof can be found, for example, here: www.math.arizona.edu/~jwatkins/bivariate.pdf The determinant is related to rescaling of the random vector through the transformation. In the one-dimensional case, if you multiply a random variable by 2, you would multiply the density by 1/2, to properly adjust for rescaling of the random variable. This is just a generalization of that. You are expected to know this on the exam. This also should have been covered in your probability class.
@@krzysiotheactuary Thank you! apparently our probability class was lackluster, so I appreciate learning some of the more nuanced concepts. Great video!
@@mostafakhafaji345 If you want to pass exam P then, I strongly suggest getting my study manual for exam P: smartURL.it/BTDT-P.
Why didn't we solve it using multinomial ?
Why didn't we solve it by multinomial?
At time 12:49 approximately, the likelihood for life 2 is missing term mu_x ^12, corresponding to one observed death occurring from state 1. This term should be multiplied at the end of the terms stated for likelihood for life 2.
Professor! Thanks for the new video! Can you link a pdf version of the text on the video?? Thanks
I can, if you are enrolled in MAT 480 class at Illinois State University. Otherwise, this is the best I can do.
I just drew a 2-way table and filled it in. So much easier for me.
I just started studying for MAS 1 but I referred to some Exam P thought (kinda rusty). Why wouldn’t a negative binomial distribution work?
Is this on the IFM syllabus? I saw it say it was an MFE question.
how do i know that both options put and call have long positions?
Do we assume the stock pays no dividend?
Indeed, this is implicitly assumed. It should have been stated directly, thank you for noting this.
@@krzysiotheactuary Thank you Sir!
the answer is B here. 0.53 and not 0.54
I need this . Thanks
Why is the covariance not zero since the support is rectangular implying independence?
Tricky problem
this is super easy
When tricky problems, suddenly become intelligible...Many thanks Prof. Ostaszewski
Hi, I calcualted this question by using the method provided in Question 9 (Exam FM exercise for June 29, 2017), which is multiplying the weights by (1*2)/(1.03)^3, and (2*3)/(1.03)^2 respectively. But the results gives 5.5809 in half yrs and we converted by dividing the result by 4, which gives us 1.3952 yrs squared. Why this method is not appropriate for this question?
If you want me to explain your work, not my work, please sign up for my exam FM seminar: smartURL.it/BTDT-online.
Should the numerator be the one mupltipied by (1+i), which in this case is e^(0,05). Since the question is asking for Macaluay duration. And -PV'(i)/PV(I) in the answer provided is Modified duration.
You are very confused about what Macaulay duration is. You can clearly see that the logarithmic derivative calculated is NOT with respect to the interest rate, but with respect to the force of interest, so your question is not about this solution.
Are we assuming the interest charged on the notional amount is fixed for this question? Since if the interest rate charged is not fixed then the 25million should be multiplying 8% and 30million should be multiplying 6%.
The interest charged on notional amounts is set by the swap contract, not by market. You discount future cash flows at market rates, but swap payments are determined by swap contract.
@@krzysiotheactuary Thank you so much for explaining. So this is indeed a currency swap not an interest rate swap. If we want to calculate the interest rate swap at some time point. Then the (forward rates) floating rates should be starting at the corresponding time point, which does not work the same way as the one in this problem.
Wow that so hard, you are so genius sir, salute
Thank you for an especially interesting problem, Prof. Ostaszewski. I have a question: If W is a non-decreasing function of X (and strictly increasing for X > 20), is it necessary to break the probability into two pieces? After all, the only X-value for which W = 115 is 150. Therefore, we might write: The event [W = 115] is equivalent to [40 + X/2 = 115], which is equivalent to [X = 150]. Hence, P(Y < 115) = P(W < 115 | X > 20) = P(X < 150 | X > 20), which proceeds directly to the end of your solution via memorylessness. Did I leave something out?
Could you please post more MAS 1 problems proffesor? I appreciate your work. Thanks for sharing.
I am sorry, but I do not have a manual for exam MAS-I, I just teach a regular class covering about half of it, so I will post about it very rarely, and there is such minuscule demand for these videos, anyway. Since January 21, 2021, I am only posting in my new channel on Rumble: smartURL.it/PassActuaryExams.
How was the deduction made that this is a gamma distribution
It is not a deduction, it is a fact, standard material on the syllabus of exam P, which you have learned in your probability class. This is of course fully covered in my study manual, available at: smartURL.it/BTDT-P. This knowledge is expected on exam P.
how does the index decrease by 1 in step 4?
It did not. The term corresponding to n = 0 is zero, and it is added (but adding zero does not affect the sum).
There are some typos in the solution, my apologies. The result of the first calculation should be 919.39, and the result of the last calculation should be 9.8456%, answer choice D. I posted a corrected solution at: rumble.com/vdnhnv-exam-fm-exercise-for-april-14-2017.html
you can do this in 1 step using the memoryless property of the exponential distribution. good video though for refreshing earlier concepts
Hi Professor, thank you for the video. I'm not quite sure where the third term comes in ('Interest paid at the end of year 5 on deposits....'). Are you summing up the four $100 interest payments received at T = 2 to 5 separately in the third term and calculating their accumulated interest separately in the second term (100.(Is).3/6%)? Just want to make sure if I'm following along correctly.
1000 deposits earn interest every year, including year 5. Interest payments in years 1, 2, 3, 4 are accumulated in a separate account, but interest payment from year 5, which arrives at time 5, has no time to go to the separate account. So there is 4000 that earns 10% in year 5, which must be included.
@@krzysiotheactuary Oh I see, I got it now. I wasn't thinking of the 1000 cumulatively. I was solving as 10% interest of $1000 per period so $100 each period whereas it should have been 100 @ end of Y2, 200 @ end of Y3 etc....leading to 400 at end of Y5. Thank you for the quick response, greatly appreciate it!
This guy's humor lol. Love it!
Really targets those fundamentals very nice question! Thanks!
Note that this is my old channel. My new channel is at: smartURL.it/PassActuaryExams
Thanks profess-sir!
Hi professor thanks for these videos! Sorry if this comes across as silly, but i'm running through the 421 questions in the playlist, and i was wondering if they're all still relevant for FM? I decided to run from most recent to least so as to ensure they're most relevant after the 2017 syllabus changes but was wondering if that's something i should worry about.
Yes, they are relevant for the current exam FM. Please note I no longer post in this channel. My new channel is at: smartURL.it/PassActuaryExams
very helpful :)
I enjoyed your video so much. I have been trying to find for a RUclips video similar to yours that informs everything in this RUclips vid. 🧑🏻⚕️ 🧑🏻⚕️Your vid for sure is like the vids from this educational med student Doctor Ethan! Dr's tips are totally insightful and he helped me a lot on finals. He is a helpful Doctor. Go see his RUclips out and give Doctor Ethan a like! ➡️ #DrEthanOnline
Very nice 😍💋 💝💖♥️❤️
I don't understand why the reserve is not writing in terms of the annuities, and only with the pay in expenses and premium of the next year
This is a five year endowment and the expense reserve is valued at policy duration 4.
Now it is clear for me Mr. Krzysztof Gracias
Found this resource thank you very much
Found this resource thank you very much
@6:30 - 'The purpose is to get rid of you' - I laughed hard at that LOL. Thank you for all these great videos and solutions!
But please also remember your purpose: To not give them the satisfaction ... :)
@@krzysiotheactuary Yes sir, that is what I am working towards and you've been a great help :) 1 week away from exam IFM now!
My apologies for a typo, in the video, it says that the link to it is smartURL.it/KO-LTAM-Exercise129, but it actually is: @t
Thank you Sir, for adding these videos this make me in practice
This solution is actually more confusing than the SOA's solution.
I find it very confusing that anything about this solution could be considered confusing. Once you have proper formation in the exponential distribution (the entire text in the solution is just a reminder of what you are expected to know on the exam, and what I cover in detail in my manual). If you do not need the reminder (and you shouldn't if you studied for exam P from a proper source), the solution is extremely simple: 0.8*ln2. I added all the rest for candidates who do not have proper formation. But confusing? This is maybe the most straightforward solution ever: 0.8 times the natural logarithm of 2.
And an important warning: You must have really complete knowledge of both the Poisson and the exponential distributions, and their relationship when you take exam P. Very important.
The final result is wrong. The total price is 1640.26+943.40=2583.66. P.S. Thanks for the explanation. :)
The final result is correct, but the formula has a typo: Instead of 943.40, the amount of 1,877.93 is typed as the value of one-year bond. The last formula should be: 943.40 + 1,640.26 = 2583.66. Thank you for noting this, I appreciate the correction.
@@krzysiotheactuary Yes, that is what I was trying to say, sorry. :D Thank you Dr. Ostaszewski for all the exercises, they're really useful for financial mathematics students.
@@adrianrc102 Thank you. This is also Problem 1 in Practice Examination 21 in my BTDT Exam FM Study manual, and I added the correction to the errata. You can find errata for all my current books at: smartURL.it/errata.
sorry sir I think There's a typographical mistake. V^n = 0.5975029875 and not 0.59999253.
No, sir. 12.8537/8.0336 = 1.5999925.
I havent studied finance in 10 years. This all looks familiar but lacks detail. Wish you put it in laymens terms. Needed you to show how your formulated the formula and how everything gets plugged in.
You are most welcome to take the online seminar for exam FM, which I teach, see: smartURL.it/onlineactuary. Exercise that I post assume basic knowledge of the material on the corresponding exam. Please note that in order to start studying for exam FM, you must have thorough knowledge of Calculus I and Calculus II. Finance classes are not sufficient, their mathematical content is typically minuscule (of course this varies).
at z=1.27 p=.8980 and at z=1.28 p=.8997 doesn't that make the answer 89th percentile?
Both 0.8980 and 0.8997 are significantly closer to 0.90 than to 0.89. Answer choice B is correct.
Thank you for this, want to be youtube friends?
At the beginning of the problem, it is mistakenly stated that this comes from the Written Answer section of the Spring 2020 LTAM exam. The problem, of course, comes from the multiple choice section. My apologies for this mistake.
Beautiful solution