SOCIETY OF ACTUARIES/CASUALTY ACTUARIAL SOCIETY
EXAM P PROBABILITY
P SAMPLE EXAM SOLUTIONS
Copyright 2009 by the Society of Actuaries and the Casualty Actuarial Society
Some of the questions in this study note are taken from past SOA/CAS examinations.
PRI

AS 4340
Homework 7
Due: March 1, 2016
Print your name:
Signature:
1. You are given:
(i) Tx is the future lifetime random variable for age x < where is the highest age in the
mortality table.
(ii) Tx is uniformly distributed on (0, x).
(iii) Var(Tx ) = 100

Derivatives Valuation AS 4510
Instructor Information
Spring 2016
CRN 13935
Instructor: Dr. Enrico Biffis
Office: Room 1138, Robinson College of Business (35 Broad Street)
Office Hours: Monday, 2am-3pm; Wednesday, 1:30pm-3pm; by appointment.
Phone: 404

Chapter 7
AS 4230. Theory of Interests
Prof. Thomas Tredway
1. On January 1, 1987, three 100 par value bonds with 6% annual counpons will mature at the
end of 1, 2 and 3 years, respectively. The redemption value of each bond is 100.
You are give that the

AS 4340
Mock Mid-Term Examination 2
April 5, 2016
Do not open the exam until told to do so.
Answer the questions in the spaces provided.
If you run out of room for an answer, continue on the
back of the page.
There are five questions. Each question is wor

2 / 16
Calculate a[40]: 4 assuming an eective annual rate of interest
i = 6%.
9t
g
9
Z
LE
t T E Z EL t 7 6 Z LE O17E LE
1717 6 0 E EL 9 a " L 0 1 7 EL
8L
L 9 1 7
a"
Z17 O t ' t ' E L .g817 6 I E L
+
z+17
L
A
*
t t
17
Z t
I t
O t
t x t
You are given the fo

AS 4340
Mock Mid-Term Examination 2
April 7, 2016
Do not open the exam until told to do so.
Answer the questions in the spaces provided.
If you run out of room for an answer, continue on the
back of the page.
There are five questions. Each question is wor

Fundamentals of Valuation
Fall 2015
Lecture 1: Introduction
Di Li
August 25, 2015
I. Course Overview
1. Objective: Understand how to value investment instruments.
2. Core principle: The value of an investment is the present value of its all future
cash fl

AS 4340
Homework 6
Due: February 23, 2016
Print your name:
Signature:
1. A single benefit premium whole life insurance issued to (x) provides 10,000 of insurance
during the first 20 years and 20,000 of insurance thereafter, plus a return without interest

AS 4340 Life Contingencies I
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March 31, 2016
Chapter 5 Annuities
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Continuously paid annuities
m-thly paid annuities
Exercises
1 / 16
DHW Exercise 5.1
(a)
Y1 =
!
a Tx
a 15
if Tx 15
if Tx > 15
= a min(15, Tx )
This is an annuity of 1 per year paid c

AS 4340
Homework 9
Due: April 21, 2016
Print your name:
Signature:
1. Note: This is question 8 from the SOA Exam MLC given April 28, 2015.
8.
For a fully continuous whole life insurance of 1 on (x), you are given:
(i)
L is the present value of the loss at

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In connection with my application for residence at Highlands at Sugarloaf
I hereby authorize any consumer agency, current and previous employer, current and any former
landlord, law enforcement agency, any check authorizati

AS 4340
Homework 3
Due: February 2, 2016
Print your name:
Signature:
For questions 1, 2, and 3, derive the survival function S0 (x) for the given force of mortality x for
x 0. Verify that S0 (x) satisfies conditions 1, 2, and 3 on page 19 of our textbook.

AS 4340
Homework 8
Due: March 31, 2016
Print your name:
Signature:
1. (from Prof. Bauer)
Calculate a
66 using the Illustrative Life Table and i = 6%.
Solution:
Dr. Bauer intends for us to use the age 65 row of the table to calculate a
66 , via the recursi