MST30030 Financial Mathematics
Problem set 1
1.1 Explain the dierence between a long forward position and a short
forward position.
1.2 Explain the dierence between selling a call option and buying a put
option.
1.3 Give an argument why the price of an Am

1.0 Introduction
There are many project management approaches that can be applied to each individual
project that differs from time, resources, principles and values, and complexity. There
is no single method that will fit the bill for all projects due to

1
A sample of union members was selected and their opinions regarding the proposed management
union contract were recorded with 160 out of the 200 members favored the proposed contract. A 95
percent confidence interval for the population proportion ranged

Mkt and customer: consumer and organizational buyer behavior
and marketing strategy.
Discuss the role and behavior of the organizational purchaser in
comparison to the domestic consumer. Would you agree that the
organizational purchaser is devoid of all b

1. If 40 samples, each of size n=21, were selected from a population of 22,493, we would expect the
mean of the sample means and the population mean to be close but not exactly equal.
Answer: True
2. A sample of union members was selected and their opinio

1
Twenty-five items are sampled. Each of these has the same probability of being defective. The
probability that exactly 2 of the 25 are defective could best be found by _.
A.
using the normal distribution
B.
using the binomial distribution
C.
using the P

1.0 Introduction
This project is organizing by IC (International Contents) Entertainment Corporation for a
concert of world k-pop star Big Bang in Singapore. The successful project will be done
through high quality of sound system, various activities and

1.
A joint probability is a probability that measures the likelihood that two or more events will
happen concurrently.
Answer: True
2.
The general rule of multiplication is used to find the joint probability that two events will occur.
Symbolically, the j

UNIVERSITY COLLEGE DUBLIN
Bachelor of Business Studies (Singapore)
BUSINESS STRATEGY (BMGT3001S)
STUDY GUIDE
BBS22 FT / Singapore
Copyright June 2015
1
Author: Rory OShea & Shawn Wong (2015)
This manual was prepared for University College Dublin as a comp

UNIVERSITY COLLEGE DUBLIN
Bachelor of Business Studies (Honours) in Finance (Singapore)
Accounting Information for Managers (ACC3001S)
STUDY GUIDE
BBS 22 FT Singapore
Copyright September 2015
1
Author: Jane Cao (2015)
This manual was prepared for Universi

UNIVERSITY COLLEGE DUBLIN
Bachelor of Business Studies (Singapore)
Project Management (BMGT3002S)
STUDY GUIDE
BBS22 FT / Singapore
Copyright June 2015
1
Authors:
George Onofrei
Dipan K Mehta
(2015)
This manual was prepared for University College Dublin as

Introduction
The success of a project depends on the effectiveness of the management team to blend
the resources present and direct the team work towards the realization of the projects goals or
objectives. For instance, an organization has such resources

UNIVERSITY COLLEGE DUBLIN
Bachelor of Science (Singapore)
Financial Management (FIN3003S)
Assignment 2
Name : Nguyen Dao Hiep
UCD number: 13207874
Lecturer: Mr Chong Chin Siong
Words count: 1500
1
Contents
I.
Introduction.3
II.
The synergies that Burger K

UNIVERSITY COLLEGE DUBLIN
Bachelor of Science (Singapore)
Management Accounting (ACC3001S)
Assignment 1
Name : Nguyen Dao Hiep
UCD number: 13207874
Lecturer: Jane Cao
Words count: 800
1
LOCAL 635
a. List examples of costs at the Riverside Hotel that are v

MST30030 Financial Mathematics
Problem set 2
2.1 A bank oers an interest rate of 4% per annum compounded continuously. How long will it take e 1000 to double?
2.2 A bank oers an interest rate of 14% per annum with quarterly compounding. What is the equiva

MST30030 Financial Mathematics
Problem set 3
3.1 (i) Describe lower and upper bounds for the price c of an European call
option with strike price K and maturity time T.
(ii) What is a lower bound for the price of a 4-month call option on
a non-dividend pa

MST30030 Financial Mathematics
Problem set 4
4.1 We are rolling three fair dice, one red, one blue and one black.
Describe a probability model for the experiment. That is, dene a
sample space and the probability P (A) of an event A .
What is the probabili

MST30030 Financial Mathematics
Problem set 5
1. Give the denition of an algebra of sets. Check that for any two subsets
A, B of a set X
c
A B = Ac B c
and use this fact to show that if F is an algebra of sets then
A, B F A B F.
2. Let E = cfw_(, a] : a R

MST30030 Financial Mathematics
Problem set 6
1. In a bolt factory machines A,B and C manufacture, respectively, 25 %,
35 % and 40 % of the total. Of their output 5 %,4 % and 2 % are
defective bolts. A bolt is drawn at random from the produce and is
found

MST30030 Financial Mathematics
Problem set 7
1. Let = cfw_1, 2, 3, 4, 5, 6 be the sampling space for a manipulated die.
Using experiments the probabilities pk of occurrences of the numbers
k = 1, 2, 3, 4, 5 was determined:
p1 =
1
1
1
1
1
, p2 = , p3 = , p

MST30030 Financial Mathematics
Problem set 8
1. Let Z be a normal random variable with mean = 0 and standard
deviation = 1, that is, Z N (0, 1). Find each of the following, using
the table of values of N (x) on the last page:
(a) P (Z 1.75),
(b) P (Z 1.75

MST30030 Financial Mathematics
Problem set 10
1. What is the main assumption in the Black-Scholes-Merton model about
the distribution of the stock price St at time t? Explain what it means
that a random variable X is lognormal.
2. Let log X N (c, 2 ).
a)

UNIVERSITY COLLEGE DUBLIN
Bachelor of Science (Singapore)
Financial Management (FIN3003S)
Assignment 1
Name : Nguyen Dao Hiep
UCD number: 13207874
Lecturer: Mr Chong Chin Siong
Words count: 900
1
Recently, there are varieties of option to raise capital fo

UNIVERSITY COLLEGE DUBLIN
Bachelor of Science (Singapore)
Management Accounting (ACC3001S)
Assignment 2
Name : Nguyen Dao Hiep
UCD number: 13207874
Lecturer: Ms Jane Cao
Words count: 1300
1
Table of Contents
I.
Introduction.3
1.1
Purpose.3
1.2
Scope.3
1.3

UNIVERSITY COLLEGE DUBLIN
Bachelor of Business Studies (Singapore)
Financial Management (FIN3003S)
STUDY GUIDE
BBS22 FT Singapore
Copyright November 2015
1
Author: Mr Chong Chin Siong (2015)
This manual was prepared for University College Dublin as a comp