Assume that a certain insurer has 1,000 policyholders of type 1 and 2,500 policyholders of type 2.Policyholders will have losses of either 0, 50, 200, or 500 with the following probabilities:Loss Pr(Loss Type 1) Pr(Loss|Type 2)0.700.80500.150.102000.100.075000.050.03All policyholders have an ordinary deductible of 100 and all losses are independent.(a) Calculate the loss elimination ratio for the deductible. [436](b) Calculate the mean and variance of the aggregate claims. [77,500, 20,947,500](c) Using the normal approximation, calculate the probability that the total aggregate claims exceed$90,000 [.0032](d) Again using the normal approximation, find the 99% Value-at-Risk. [88,146

In this problem, we are given information about an insurance company's policyholders. The insurer…

Answered: Assume that a certain insurer has 1,000…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Consider the following. My recent marketing idea, the Miracle Algae Growing Kit, has been remarkably successful, with monthly sales growing by 7% every 6 months over the past 4 years. Assuming that I sold 100 kits the first month, how many kits did I sell in the first month of this year? Determine the following values given that FV = PV(1 + i)", where FV and PV are measured in kits and time is measured in 6 month periods. PV = i = n = Solve for FV. (Round your answer to the nearest whole number.) FV = How many kits did I sell in the first month of this year? kits
A stock has had the following year-end prices and dividends: Year Price Dividend 1 $ 65.03 — 2 71.90 $ .74 3 77.70 .79 4 63.97 .85 5 74.51 .94 6 86.75 1.01 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
3. You would like to retire a millionaire! You plan on retiring in 40 years and using historical data you determine that a 5% interest rate compounded quarterly is a reasonable expectation. How much do you need to invest now to have $1000000 in 40 years. How much of the $1000000 that you have earned is interest?
James has an investment worth $175,609.50. The investment will make a special payment of X to James in 1 month from today and the investment also will make regular, fixed monthly payments of $1,440.00 to James forever. The expected return for the investment is 1.23 percent per month and the first regular, fixed monthly payment of $1,440.00 will be made to James in one month from today. What is X, the amount of the special payment that will be made to James in 1 month? An amount less than $58,600.00 or an anmount greater than $179,600.00 An amount equal to or greater than $58,600.00 but less than $88,950.00 An amount equal to or greater than $88,950.00 but less than $146,400.00 An amount equal to or greater than $146,400.00 but less than $176,000.00 O An amount equal to or greater than $176,000.00 but less than $179,600.00 Com SHEMA
4. An insurer issues a 15-year annual premium-due endowment insurance of $100,000 benefit to life (50). The insurer charges an initial expenses of $ 1000 plus renewal expenses of 5% of each subsequent premium after the first premium payment. The premiums are made at the beginning of each year when (50) remains alive before reaching 70 and the benefit is paid at the end of K50 +1 years or when the person reaches the age 70 whichever occurs earlier. (a) Write down the gross future loss random variable L in terms of actuarial notations. (b) Calculate the gross premium-due G by using the Standard Select Survival Model with 5 % per year interest (Table D4) and the equivalence premium principle. 8 (c) Calculate the gross premium policy value V by using the equivalence premium G found in (b).
6) a. b. C. d. What is the present value of $15,000 received today, $2,500 received at the end of each of the next six years and $10,000 received at the end of the 7th year, assuming a required rate of return of 4.50% ? $38,143 $16,899.89 $29,990.22 $35,243
4. a. Suppose that betwee 401(k) and your employer 8.3%compounded annually dollar, after 18 years?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS