THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1603 INTRODUCTORY STATISTICS
December 20, 2012 Time: 9:30 am. ~ 11:30 am.
Only approved calculators as announced by the Examinations Secretary can be used in
this eramination.
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1603
INTRODUCTORY STATISTICS
December 20, 2012
Time: 9:30 a.m. - 11:30 a.m.
Only approved calculators as announced by the Examinations Secretary can be used in
this examination
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 4: More General Annuities
1
Annuities Payable Less Frequently Than Interest Is Convertible
(a) Annui
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 7: Yield Rates
1
Discounted Cash Flow Analysis
Consider a project with cash flow from t = 0 to t = n
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 9: Stochastic Approaches to Interest
Let It be the rate of interest random variable for the period f
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 3: Basic Annuities
1
Annuity-Immediate
Annuity-immediate refers to payments of one made at the end o
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 1: The Measurement of Interest
Interest may be regarded as a reward paid by the borrower for the use
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 1: The Measurement of Interest
Interest may be regarded as a reward paid by the borrower for the use
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 8: Duration, Convexity, and Immunization
Simple measures of vulnerability to interest rate movements
The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 5: Amortization Schedules and Sinking Funds
1
Amortization Method
The borrower repays the lender by
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1306/STAT1603
December 12, 2013
INTRODUCTORY STATISTICS
Time: 2:30 p.m. - 4:30 p.m.
Only approved calculators as announced by the Examinations Secretary can be used in
this exa
1. What level of measurement classifies data into mutually exclusive
(non-overlapping), exhausting categories in which no order or ranking
can be imposed on the data?
A) Interval
B) Ratio
C) Nominal *
D) Ordinal
2. Variables with values that are determine
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1306 INTRODUCTORY STATISTICS
Time: 9:30 a.m. - 11:30 a.m.
December 15, 2011
Only approved calculators as announced by the Examinations Secretary can be used
in this examination
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1306 INTRODUCTORY STATISTICS
December 22, 2012 Time: 6:30 p.m. 8:30 p.111.
Only approved calculators as announced by the Eraminations Secretary can be used
in this eramination.
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The University of Hong Kong
Department of Statistics and Actuarial Science
STAT2315/3615 Practical Mathematics for Investment
Semester 2 2013/2014
Lecture 2: Solution of Problems in Interest
If financial transactions are handled on a daily basis, methods
THE UNIVERSITY OF HONG KONG
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE
STAT1306/1603 Introductory Statistics
(2016-2017) (2nd semester)
Aim:
The discipline of statistics is concerned with situations involving uncertainty and variability. The interpret
Chapter 1
Mathematical Preliminaries
1.1
Differentiable Maps
Definition 1.1.
The set of all n-tuples with entries from a field R is denoted by Rn . That is
Rn = cfw_(x1 , x2 , . . . , xn ) : xi R for i = 1, 2, . . . , n.
Also, given two points p = (a1 , a