Math 424 - Compound Interest and Life Insurance
Midterm Exam : February 23, 2012
Section 002: Jose Alcala Burgos
Name: SOLUTIONS
Instructions
You must show your work to receive credit.
Please make sure that you have all of the pages. There are 10 proble
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Math 424
Compound Interest
And Life Insurance
Chapter 5 Loan Repayment
B. Roger Natarajan, PhD, FSA
Chapter 5 Loan Repayment
Amortized Loans and Amorti
University of Michigan
Literature, Science and the Arts (LSA)
Department of Mathematics
Math 424
Compound Interest
And Life Insurance
Chapter 2 Equations of Value and Yield Rates
B. Roger Natarajan, PhD, FSA
Chapter 2
Equations of Value and Yield Rates
S
HW # 3 Due 2/14/2017
Also do problems # 3 and # 5 of Chapter 3, Section 2 (page 166)
1. Using standardformulasfor the annuity symbols, prove
d+-_.1=-;1
Silt aZli
2. Using standard formulas for the annuity symbols, prove
I Vk ali _ n+k+1l 1 _a1| i
3. Usi
Quiz # 2 Due 2/7/2017
You contributed $ 25,000 on Jan. 1, 2013 in a fund. On Jan 1, 2014,
your fund balance was $ 24,000 and you deposited $ 2,000
immediately. On Jan 1, 2015 your fund balance was $ 28,000 and
you withdrew $ 10,000. On Jan. 1, 2016 your f
MA 424 001&002- HW # 1 Due 1/17/2017
Q1: 1.3 # 2: If you invest $ 2,000 at time 0 and a(t) = 1+.04 t,
how much will you have at time 5?
Q2: 1.3 # 4: Suppose a(t) = 2 + t + . If $ 100 invested at
time 0 accumulates to $ 152 at time 4 and $ 200 invested at
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Math 424
Compound Interest
And Life Insurance
Chapter 1 The Growth of Money
B. Roger Natarajan, PhD, FSA
Chapter 1
Accumulation and Discount Functions
Simple Interest
Whol
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Math 424
Compound Interest
And Life Insurance
Chapter 4 Complex Annuities
B. Roger Natarajan, PhD, FSA
Chapter 4 Complex Annuities
Level Annuities Less
HW # 3 Due 2/14/2017
Also do problems # 3 and # 5 of Chapter 3, Section 2 (page 166)
1. Using standard formulas for the annuity symbols, prove
1
1
d
sn i an i
2. Using standard formulas for the annuity symbols, prove
v k an i an k 1 i ak 1 i
3. Using stan
University of Michigan
Actuarial Science Program November 20, 2014
MA 424 Section 1 .
Mid Term Exam 2
Instructions
There are a total of 8 questions for a total of 40 points. Please note that the questions are not of
equal difficulty or of equal point valu
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University of Michigan
Actuarial Science Program November 12, 2013
MA 424 - Section 2 N
Name: 3 ; Qaaqi‘a’ mm
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Mid Term Exam 2 i Z. a {Eta}: ﬁfﬂgmgxfgyg ?
Instructions
There are a total of 10 questions for a total of 40 points. Please note that ev
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Math 424
Compound Interest
And Life Insurance
Chapter 2 Equations of Value and Yield Rates
B. Roger Natarajan, PhD, FSA
Chapter 2
Equations of Value and Yield Rates
Single D
Mathematical Interest Theory MA 424
Summary of Important Formulas Chapter 1 The Growth of Money
1. Accumulation Function: (t)
a. $ 1 at time 0 (t) at time t
Discount Function: (t) = 1 / a(t)
b. (t) = 1+ .t for Simple Interest
() = 1 / [ 1 + . ]
c. () = (
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Winter 2016
Math 424 Section 001 & 002
Compound Interest
And Life Insurance
Homework Assignments
3/25/2016
B. Roger Natarajan, PhD, FSA
1
Homework # 1 D
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Winter 2016
Math 424 Section 001 & 002
Compound Interest
And Life Insurance
Homework Assignments
3/29/2016
B. Roger Natarajan, PhD, FSA
1
Homework # 1 D
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Winter 2016
Math 424 Section 001 & 002
Compound Interest
And Life Insurance
Homework Assignments
2/12/2016
B. Roger Natarajan, PhD, FSA
1
Homework # 1 D
Mathematical Interest Theory MA 424
Summary of Important Formulas Chapter 1 The Growth of Money
1. Accumulation Function: (t)
a. $ 1 at time 0 (t) at time t
Discount Function: (t) = 1 / a(t)
b. (t) = 1+ .t for Simple Interest
() = 1 / [ 1 + . ]
c. () = (
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Math 424
Compound Interest
And Life Insurance
Chapter 1 The Growth of Money
B. Roger Natarajan, PhD, FSA
Chapter 1
Accumulation and Discount Functions
Simple Interest
Whol
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Math 424
Compound Interest
And Life Insurance
Chapter 5 Loan Repayment
B. Roger Natarajan, PhD, FSA
Chapter 5 Loan Repayment
Amortized Loans and Amorti
University of Michigan
Literature, Science and the Arts (LSA)
Department of Math
Actuarial & Financial
Math 424
Compound Interest
And Life Insurance
Chapter 3 Annuities Certain
B. Roger Natarajan, PhD, FSA
Chapter 3 - Annuities Certain
Annuities - Immedia