Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
calculus
MATH 709

Fall 2016
Instructor: Feng Tian Assignment: quiz 18 (sect 8.1)
Course: MAT 11701 Fall 2015
Book: Ratti: Preealculus: A Right
Triangle Approach, Ze
1, Solve the following system of equations by the substitution method. Check the solutions.
2x y = 6
4x  2y = 14
Se
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
calculus
MATH 709

Fall 2016
Name
MAT117 REVIEW 3
Definition. y = logxa x = ay
ax
ax
Loga x
1
1
1
1
Loga x
(a) a > 1
(b) 0 < a < 1
Figure 1
Rules of logarithms:
(1) loga xy = loga x + loga y
(2) loga
x
y
= loga x loga y
(3) loga xy = y loga x
(4) loga ax = x
(5) aloga x = x
(6) loga
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
calculus
MATH 709

Fall 2016
Name
MAT117 REVIEW 2
Problem 1.
(1) Find the vertex and line of symmetry of the function. y = 4x2 8x + 6
ans.
b
8
=
=1
2a
8
k = f (1) = 2
h=
Vertex: (1, 2), line of symmetry x = 1.
(2) Let f (x) = 3x2 24x+50. Does f (x) have a minimum value or a maximum
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
UNIVERSITI TUNKU ABDUL RAHMAN
ACADEMIC YEAR 2014/2015
SEPTEMBER EXAMINATION
UECM2433 INTRODUCTION TO RISK MANAGEMENT AND INSURANCE
THURSDAY, 4 SEPTEMBER 2014 TIME: 2.00 PM 4.00 PM (2 HOURS)
BACHELOR OF SCIENCE (HONS) ACTUARIAL SCIENCE
BACHELOR OF SCIENCE
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
UNIVERSIT I TUNKU ABDUL RAHMAN
ACADEMIC YEAR 2013/2014
SEPTEMBER EXAMINATION
UECM2433 INTRODUCTION T O RISK MANAGEMENT AND INSURANCE
THURSDAY, 12 SEPTEMBER 2013 TIME: 6.00 PM  8.00 PM (2 HOURS)
BACHELOR OF SCIENCE (HONS) ACTUARIAL SCIENCE
BACHELOR OF SCI
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
In GIVE ME LIBERTY, Rose Wilder Lane has expanded
her sensational Saturday Evening Post leading article, "Credo."
This was the first candid, personal account of the changing of
an American's mind, from an uncritical acceptance of solialistcommunistNewDea
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
Jonathan
Edwards
Sinners in the
Hands of an
Angry God
For Edwards, science, reason, and observation
of the universe confirmed for him the existence
of God.
A brilliant thinker and speaker, Edwards entered
Yale at 13 and became a minister 12 years later.
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
Chapter
6 X Banks
Liability
Management
OBJECTIVES
At the end of this chapter, you should be able to:
1. discuss the types and characteristics of bank liabilities; and
2. evaluate the factors influencing the deposit levels of banks.
X INTRODUCTION
Initiall
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
7/12/2015
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7/11/2015
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Following the announcement from the Prime Minister
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MATH 200

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10/23/2015
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Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
36
Comment & Analysis
FEBRUARY 22  MARCH 7, 2014
More to encouraging entrepreneurship than just giving out money
PATENT
ISSUES
MOHAN K
T
he recent Budget announcement
recognised the development of
entrepreneurs as a key element
in generating economic gro
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
calculus
MATH 709

Fall 2016
CALCULUS
Name: _
WORKSHEET L.11
Refer to the graph to find each limit, if it exists:
a. lim f(x) b. lim f(x) c. lim f(x) d.
x 2
x 2
x 2
1.
lim f(x) e.
x 0
lim f(x) f. lim f(x)
x 0
x 0
2.
a. _
b. _
c. _
a. _
b. _
c. _
d. _
e. _
f. _
d. _
e. _
f. _
3.
4.
a
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
calculus
MATH 709

Fall 2016
Calculus Chapter 2 Exam Name_ Score 37
Mr. Schultz Spring, 2011
Key
4 x 4
#1. Let f x 2
. Find the limit shown below by working A through E.
x 1
4 x 4
lim 2
x 1 x 1
A. (2 points) What is the domain of f(x)? (Write your answer in setbuilder notation.)
The
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
HW: 3
Course: M339D/M389D  Intro to Financial Math
Page: 1 of 3
University of Texas at Austin
HW Assignment 3
Fullyleveraged portfolios. Long/short positions. Calls. Puts.
3.1. Fullyleveraged portfolios.
Problem 3.1. (5 points) Write down the definitio
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
= Tutorial 11 (Topic 10) =
10.3
Identify and briefly describe the five types of risk to which bonds are
exposed. What is the most important source of risk for bonds in general?
Explain.
1) interest rate risk chance of change in interest rate affect the b
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
CHAPTER 12
Introduction to Binomial Trees
Practice Questions
Problem 12.8.
Consider the situation in which stock price movements during the life of a European option
are governed by a twostep binomial tree. Explain why it is not possible to set up a posi
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
CHAPTER 10
Properties of Stock Options
Practice Questions
Problem 10.8.
Explain why the arguments leading to putcall parity for European options cannot be used to
give a similar result for American options.
When early exercise is not possible, we can argu
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
HW: 4
Course: M375T/M396C  Intro to Financial Math
Page: 1 of 3
University of Texas at Austin
HW Assignment 4
Options as insurance. Risk management.
Provide your final answer only for the following problems.
Problem 4.1. If your homeowners insurance prem
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
TUTORIAL 7 (TOPIC 6)
13.3
Asset allocation is the process of dividing a portfolio
into various asset classes to preserve capital by
protecting against negation developments.
It is based on the belief that the total return of a
portfolio is influenced more
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
P5.3
Assume you are considering a portfolio containing two assets, Land M. Asset L
will represent 40% of the dollar value of the portfolio, and asset M will account
for the other 60%. The expected returns over the next 6 years, 20092014, for
each of thes
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
9.7 What is the random walk hypothesis and how does it apply to stocks? What is an efficient
market? How can a market be efficient if its process behave in a random fashion?
The random walk theory is the occurrence of an event determined by a series of ra
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
=Tutorial 12 (Topic 11) =
11.3
Learning Outcome: Explain the behavior of market interest rates
What is the term structure of interest rates, and how is it related to the
yield curve? What information is required to plot a yield curve? Describe
an upwards
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
Tutorial 11 (Topic 10)
10.3
Identify and briefly describe the five types of risk to which bonds are exposed.
What is the most important source of risk for bonds in general? Explain.
Interest Rate Risk chance that changes in interest rates will affect the
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
Tutorial 6
12.1
What is a mutual fund? Discuss the mutual fund concept, including the
importance of diversification and professional management.
Mutual fund is an investment company that invests its shareholders money in
a diversified portfolio of securit
Pakistan Degree College of Commerce for Boys, Allama Iqbal Town, Lahore
economics
MATH 200

Fall 2016
a.Three of these companies have bonds that carry investmentgrade ratings. The other 3
companies carry junkbond ratings. Judging by the information in the table, which 3
companies have the investmentgrade bonds and which 3 have the junk bonds? Briefly
e