Assignment 2
MAT 2103
To be handed in on 18.10.2016 before 11 am
Question 1
(a)
Evaluate the following limits:
.
(i)
2 3x 2 5 x
lim
x 0
4x
(5 marks)
(ii)
3 x 2 x 10
lim
x 2
x2
.
(3 marks)
(b)
Is the function
g (x)
defined by
1
x 3
g ( x) 2
x 1
continuou
CHAPTER 5: EXPONENTIAL SMOOTHING METHODS
5.1 Introduction
In the first four chapters we used simple and multiple regression models to explain and forecast the future
movements of one or more variables.
In this chapter we are again interested in constructi
Tutorial 6 Question 3
Colours Plc. is considering two mutually exclusive investments: Black and White.
The possible net present values for both projects and the associated probabilities are
as follows:
BLACK
Probability
NPV
0.1
RM 10 million
0.5
RM 20 mil
Question 1
Three assets F, G, and H are currently being considered by Perth Industries. The
probability distributions of expected returns for these assets are shown in the
following table.
(a) Calculate the expected value of return,
provides the largest e
Q8)
What impact would the following changes have on Security Market Line (SML) and therefore on
the required return for a given level of risk?
i)
An increase in inflationary expectations:
An increase in inflationary expectations will increase the risk-fre
Disadvantages for firms to
go public
Preview
Expenses
Time consuming
Cost consuming
Equity Dilution
Loss of Managemen
t Control and
Confidentiality
Expenses
Time consuming
Cost Consuming
Expenses (time consuming)
A corporation must put its affair in ord
Q4)
a) Calculate the required rate of return for each security in Mr Richs
portfolio using the Capital Asset Pricing Model. Which securities overperformed?
Happiness
: expected return = 13.00%
Fit
: expected return = 14.60%
Wealth
: expected return = 11.4
2)a)
Prj
0.3
0.3
0.4
rj
20%
10%
15%
0.3
0.3
0.4
Prj r j
6%
3%
6%
10%
3%
20%
6%
20%
8%
b) i) r p= ( 0.215 ) + ( 0.8 17 )
r
15%
17%
r j r
Country A
5%
-5%
0%
Country B
-7%
3%
3%
2
( r jr )
2
( r jr ) Prj
2
2
( r r ) P
j
25%
25%
0%
7.5%
7.5%
0%
A =3.873
49
TUTORIAL 6 (QUESTION 5)
i.
n
rj
;
r = j=1
n
r BP =
r =
BP
r=
n
(r jr )
j=1
n1
1.8+ (0.5 )+2.0+ (2.0 )+5.0+ 5.0
=1.8833
6
r (%)
rr
1.8
-0.5
2.0
-2.0
5.0
5.0
-0.0833
-2.3833
0.1167
-3.8833
3.1167
3.1167
r
r
0.0069
5.6803
0.0136
15.0803
9.7136
9.7136
40.20
Tutorial 4
Question 1
Describe the key role of a financial market and how an economy might lose out
when its financial markets are not developed.
Financial markets exist in order to allocate the supply of savings in the economy to the
demanders of those s
Tutorial 4 (Question 5)
Briefly discuss the five ways by which securities are distributed to final
investors.
5.
1.
Negotiated Purchase
Issuing firm selects an investment banker to underwrite the issue.
The firm and the investment banker negotiate the t
Tutorial 4 Q2)
(a) Explain the difference between
(i) public offerings and private placements
Public Offerings: Both individuals and institutional investors have the opportunity to
purchase securities. These securities are initially sold by the
managing
i
FHSB1214 BIOLOGY I
FOUNDATION IN SCIENCE
Biology Laboratory Report
Name
Student ID
Practical Group
Date
Title of Report
Lecturers name
Investigation of the Enzymatic Effects of Materials on Hydrogen Peroxide Solution
Content
Description of content
Marks
T
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1034 Mathematics III
Chapter 2 (Part 2)
Descriptive Statistics
FHMM1034
Mathematics III
1
Content
2.6
Measures of Central Tendency for
Ungrouped Data
2.7 Measures of Central Tendency
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1034 Mathematics III
Chapter 2 (Part 1)
Descriptive Statistics
FHMM1034
Mathematics III
1
Contents
2.1
2.2
2.3
2.4
2.5
2.6
Population Versus Sample
Types of Variables
Organizing and
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1014 Mathematics I
Chapter 3
Sequences and
Series
FHMM1014
Mathematics I
1
Contents
3.1 Sequences and notation.
3.2 Arithmetic Progression
3.3 Geometric Progression
3.4 Binomial Expa
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1014 Mathematics I
Chapter 5
Vectors
FHMM1014
Mathematics I
1
Topics
Introduction
Geometric Description of Vector
Vectors in the Coordinate Plane
The Dot Product
Derivative of A Posi
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1014 Mathematics I
Chapter 2
Polynomial
1
Content
2.1 The Polynomials
2.2 The Remainder Theorem and Factor
Theorem
2.3 Quadratic and Cubic Equations
2.4 Inequalities
2.5 Partial Frac
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1014 Mathematics I
Chapter 4
Trigonometry
FHMM1014
Mathematics I
1
Topics
Trigonometric Function Of Angles
Evaluating Trigonometric Function At Any
Angles
Trigonometric Identities
Ar
Centre For Foundation Studies
Department of Sciences and Engineering
FHMM1014 Mathematics I
Chapter 1
Number and Set
FHMM1014
Mathematics I
1
Contents
1.1 Real Numbers System
1.2 Indices and Logarithm
1.3 Complex Numbers
1.4 Set
FHMM1014
Mathematics I
2
1