ACTU 5823 Fall 2016
Assignment 2
Assignment 2
1. Losses follow a lognormal distribution with = 7 and = 1. Losses are subject to a franchise deductible
of 1000 and a maximum covered loss of 10,000.
Cal
W4440 Homework 5 Solution
Shuaiwen Wang
Problem 7.1
Pt
Proof. Since yt = y0 + i=1 ci , we have
Pt
a. Eyt = y0 + i=1 Eci = y0 + tc ;
Pt
b. Varyt = i=1 Varci = tc2 .
Problem 7.2
Proof. a. Notice that we
W4440 Homework 4 Solution
Shuaiwen Wang
1. Data sat
We do the regression and by using the summary() function we got the following result,
Figure 1: summary() of the regression total expend + salary +
CALCULUS I - WRITTEN HOMEWORK 0 - DUE 9/9/14
PAUL SIEGEL, INSTRUCTOR
Problem 1 (Algebra). Solve the equation
2
x
5
x
= 2.
Problem 2 (Algebra). Find all values of x for which the following inequality h
CALCULUS I - WRITTEN HOMEWORK 1 - DUE 9/16/14
PAUL SIEGEL, INSTRUCTOR
Problem 1. For each of the following pairs of functions f, g, find a sequence of transformations which passes
from the graph of f
CALCULUS I - WRITTEN HOMEWORK 2 - DUE 9/23/14
PAUL SIEGEL, INSTRUCTOR
3
1 1
1
Problem 1. Consider the function f (x) = 4x4x
(x).
6 +1 defined on the domain [ 2 , 2 ]. Find a formula for f
(You may che
GRAPHING RATIONAL FUNCTIONS WITH LIMITS
PAUL SIEGEL, INSTRUCTOR
In these notes we will review how to sketch the graph of a rational function using limits. Limits can help
detect the end behavior of a
Calculus I,
Columbia
University,
Fall 2014
Instructor:
Paul Siegel
Calculus I, Columbia University, Fall 2014
Instructor: Paul Siegel
October 6, 2014
Calculus I,
Columbia
University,
Fall 2014
What yo
Actuarial Models Fall 2015
Assignment 11
Assignment 11
1. Policyholders are in one of 2 classes, A or B. You are given the following distributions for claim counts
and sizes:
Class A
Claim counts
Clai
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Actuarial Models Fall 2015
Solutions to Assignment 12
Solutions to Assignment 12
1. We can use the uniform exposure formula, using n = 2 when calculating Z .
x1 = 55
v1 = 50
x2 = 75
x3 = 80
= x = 70
Calculus I,
Columbia
University,
Fall 2014
Instructor:
Paul Siegel
Calculus I, Columbia University, Fall 2014
Instructor: Paul Siegel
December 12, 2014
Calculus I,
Columbia
University,
Fall 2014
The D