Krzysztof Ostaszewski (Pass Actuarial Exams)
Krzysztof Ostaszewski (Pass Actuarial Exams)
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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
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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
Просмотров 1073 года назад
Exam LTAM exercise for January 17, 2021
Exam LTAM exercise for January 16, 2021
Просмотров 1163 года назад
Exam LTAM exercise for January 16, 2021
Exam LTAM exercise for January 15. 2021
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Exam LTAM exercise for January 15. 2021
Exam LTAM exercise for January 13, 2021
Просмотров 833 года назад
Exam LTAM exercise for January 13, 2021
Exam P exercise for January 14, 2021
Просмотров 3993 года назад
Exam P exercise for January 14, 2021
Exam LTAM exercise for January 12, 2021
Просмотров 774 года назад
Exam LTAM exercise for January 12, 2021
Exam LTAM exercise for January 11, 2021
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Exam LTAM exercise for January 11, 2021
Exam LTAM exercise for January 10, 2021
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Exam LTAM exercise for January 10, 2021
Exam LTAM exercise for January 9, 2021
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Exam LTAM exercise for January 9, 2021
Exam LTAM exercise for January 8, 2021
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Exam LTAM exercise for January 7, 2021
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Exam LTAM exercise for January 7, 2021
Exam LTAM exercise for January 6, 2021
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Exam LTAM exercise for January 6, 2021
Exam LTAM exercise for January 5, 2021
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Exam LTAM exercise for January 5, 2021
Exam LTAM exercise for January 4, 2021
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Exam LTAM exercise for January 4, 2021
Exam LTAM exercise for January 3, 2021
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Exam LTAM exercise for January 3, 2021

Комментарии

  • @KrzysztofOstaszewski
    @KrzysztofOstaszewski 2 месяца назад

    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.

  • @KrzysztofOstaszewski
    @KrzysztofOstaszewski 3 месяца назад

    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.

  • @mostafakhafaji345
    @mostafakhafaji345 7 месяцев назад

    I might be late, but can someone explain why we needed to get the determinant?

    • @krzysiotheactuary
      @krzysiotheactuary 7 месяцев назад

      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.

    • @mostafakhafaji345
      @mostafakhafaji345 7 месяцев назад

      @@krzysiotheactuary Thank you! apparently our probability class was lackluster, so I appreciate learning some of the more nuanced concepts. Great video!

    • @krzysiotheactuary
      @krzysiotheactuary 7 месяцев назад

      @@mostafakhafaji345 If you want to pass exam P then, I strongly suggest getting my study manual for exam P: smartURL.it/BTDT-P.

  • @alaaomer7447
    @alaaomer7447 Год назад

    Why didn't we solve it using multinomial ?

  • @alaaomer7447
    @alaaomer7447 Год назад

    Why didn't we solve it by multinomial?

  • @krzysiotheactuary
    @krzysiotheactuary Год назад

    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.

  • @pauloat
    @pauloat Год назад

    Professor! Thanks for the new video! Can you link a pdf version of the text on the video?? Thanks

    • @krzysiotheactuary
      @krzysiotheactuary Год назад

      I can, if you are enrolled in MAT 480 class at Illinois State University. Otherwise, this is the best I can do.

  • @lisajackson9222
    @lisajackson9222 Год назад

    I just drew a 2-way table and filled it in. So much easier for me.

  • @Ramoswav16
    @Ramoswav16 Год назад

    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?

  • @Ramoswav16
    @Ramoswav16 2 года назад

    Is this on the IFM syllabus? I saw it say it was an MFE question.

  • @kirkMaster3
    @kirkMaster3 2 года назад

    how do i know that both options put and call have long positions?

  • @isaacadjetey9618
    @isaacadjetey9618 2 года назад

    Do we assume the stock pays no dividend?

    • @krzysiotheactuary
      @krzysiotheactuary 2 года назад

      Indeed, this is implicitly assumed. It should have been stated directly, thank you for noting this.

    • @isaacadjetey9618
      @isaacadjetey9618 2 года назад

      @@krzysiotheactuary Thank you Sir!

  • @db9859
    @db9859 2 года назад

    the answer is B here. 0.53 and not 0.54

  • @chrisyoung949
    @chrisyoung949 2 года назад

    I need this . Thanks

  • @jackbailey7512
    @jackbailey7512 2 года назад

    Why is the covariance not zero since the support is rectangular implying independence?

  • @chrisyoung949
    @chrisyoung949 2 года назад

    Tricky problem

  • @Philgob
    @Philgob 2 года назад

    this is super easy

  • @gimbulino
    @gimbulino 3 года назад

    When tricky problems, suddenly become intelligible...Many thanks Prof. Ostaszewski

  • @adamcheungpro
    @adamcheungpro 3 года назад

    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?

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      If you want me to explain your work, not my work, please sign up for my exam FM seminar: smartURL.it/BTDT-online.

  • @adamcheungpro
    @adamcheungpro 3 года назад

    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.

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      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.

  • @adamcheungpro
    @adamcheungpro 3 года назад

    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%.

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      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.

    • @adamcheungpro
      @adamcheungpro 3 года назад

      @@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.

  • @syahrilmazlan487
    @syahrilmazlan487 3 года назад

    Wow that so hard, you are so genius sir, salute

  • @thesickmanofeurope
    @thesickmanofeurope 3 года назад

    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?

  • @mathgeek4268
    @mathgeek4268 3 года назад

    Could you please post more MAS 1 problems proffesor? I appreciate your work. Thanks for sharing.

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      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.

  • @mirhammal4165
    @mirhammal4165 3 года назад

    How was the deduction made that this is a gamma distribution

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      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.

  • @Rahvin1230
    @Rahvin1230 3 года назад

    how does the index decrease by 1 in step 4?

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      It did not. The term corresponding to n = 0 is zero, and it is added (but adding zero does not affect the sum).

  • @krzysiotheactuary
    @krzysiotheactuary 3 года назад

    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

  • @Rahvin1230
    @Rahvin1230 3 года назад

    you can do this in 1 step using the memoryless property of the exponential distribution. good video though for refreshing earlier concepts

  • @49riffinator
    @49riffinator 3 года назад

    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.

    • @krzysiotheactuary
      @krzysiotheactuary 3 года назад

      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.

    • @49riffinator
      @49riffinator 3 года назад

      @@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!

  • @jacobm7026
    @jacobm7026 4 года назад

    This guy's humor lol. Love it!

  • @jacobm7026
    @jacobm7026 4 года назад

    Really targets those fundamentals very nice question! Thanks!

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      Note that this is my old channel. My new channel is at: smartURL.it/PassActuaryExams

  • @jacobm7026
    @jacobm7026 4 года назад

    Thanks profess-sir!

  • @jacobm7026
    @jacobm7026 4 года назад

    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.

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      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

  • @abstractlycalculated
    @abstractlycalculated 4 года назад

    very helpful :)

  • @raquelalvarez6702
    @raquelalvarez6702 4 года назад

    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

  • @mandartonrus5761
    @mandartonrus5761 4 года назад

    Very nice 😍💋 💝💖♥️❤️

  • @diegoivangonzalezcabello1361
    @diegoivangonzalezcabello1361 4 года назад

    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

  • @milleniumsalman1984
    @milleniumsalman1984 4 года назад

    Found this resource thank you very much

  • @milleniumsalman1984
    @milleniumsalman1984 4 года назад

    Found this resource thank you very much

  • @49riffinator
    @49riffinator 4 года назад

    @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!

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      But please also remember your purpose: To not give them the satisfaction ... :)

    • @49riffinator
      @49riffinator 4 года назад

      @@krzysiotheactuary Yes sir, that is what I am working towards and you've been a great help :) 1 week away from exam IFM now!

  • @krzysiotheactuary
    @krzysiotheactuary 4 года назад

    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

  • @Asd-jr8xj
    @Asd-jr8xj 4 года назад

    Thank you Sir, for adding these videos this make me in practice

  • @jacobstinson851
    @jacobstinson851 4 года назад

    This solution is actually more confusing than the SOA's solution.

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      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.

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      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.

  • @adrianrc102
    @adrianrc102 4 года назад

    The final result is wrong. The total price is 1640.26+943.40=2583.66. P.S. Thanks for the explanation. :)

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      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.

    • @adrianrc102
      @adrianrc102 4 года назад

      ​@@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.

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      @@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.

  • @sakyijnrsakyijnr6159
    @sakyijnrsakyijnr6159 4 года назад

    sorry sir I think There's a typographical mistake. V^n = 0.5975029875 and not 0.59999253.

  • @derekbenjamin8143
    @derekbenjamin8143 4 года назад

    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.

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      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).

  • @juana135
    @juana135 4 года назад

    at z=1.27 p=.8980 and at z=1.28 p=.8997 doesn't that make the answer 89th percentile?

    • @krzysiotheactuary
      @krzysiotheactuary 4 года назад

      Both 0.8980 and 0.8997 are significantly closer to 0.90 than to 0.89. Answer choice B is correct.

  • @timehealthfit1891
    @timehealthfit1891 4 года назад

    Thank you for this, want to be youtube friends?

  • @krzysiotheactuary
    @krzysiotheactuary 4 года назад

    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.

  • @PolKsio
    @PolKsio 4 года назад

    Beautiful solution