E
WIPO/SMEs/SIN/07/5
ORIGINAL: English
DATE: September 2007
WORLD INTELLECTUAL PROPERTY
ORGANIZATION
INTELLECTUAL PROPERTY OFFICE OF
SINGAPORE
INTERNATIONAL ENTERPRISE
SINGAPORE
SINGAPORE-WIPO REGIONAL WORKSHOP ON THE ROLE OF
INTELLECTUAL PROPERTY IN ENHA
ECONOMICS 602: GRADUATE MACROECONOMICS
HOMEWORK ASSIGNMENT 3 (Answer Key)
CHAPTER 16: CONSUMPTION, INCOME AND WEALTH
Exercise 1: Wage Taxes versus Consumption Taxes versus Wealth
Taxes
We assume that the consumer must pay a proportional tax, w , on his wa
ECONOMICS 602: GRADUATE MACROECONOMICS
HOMEWORK ASSIGNMENT 5 (ANSWER KEY)
CHAPTER 20: STABILIZATION POLICY
Exercise 1: Principles and problems of stabilization policy
1. Discuss why it is socially desirable to stabilize the rate of inflation around some c
Econ 616
Mathematical Economics II
Problem Set VII
Lau
Due: 3/31/17
2
1.
max
u
(2 x 3u u
2
)dt
0
s.t. x ' x u,
x(0) 5, x(2) free
2
2.
max
u
(2 x 3u u
2
)dt
0
s.t. x ' x u , 0 u 2, x(0) 5, x(2) free
T
3.
max
u
e
rt
Use the result in 1) to form the
conje
Econ 616
1.
Mathematical Economics II
Problem Set XII
Solve the following difference equations.
i)
2 yt 3 yt 1 5
ii)
yt 3 yt 1 1 t t 2
iii)
yt 2 yt 1 3t
1
Lau
Due: 5/19/17
Econ 690 Special Topics in Options and Futures
Problem Set IV
1.
Lau
(25 points) Consider the following 2 year tree.
14.5242%
9.6182%
6%
9.7359%
6.4473%
6.5262%
Assume the principle is $10 million.
a)
Calculate the price of a 2 year 9% interest rate cap.
Econ 616
Mathematical Economics II
Problem Set XI
Lau
Due: 5/5/17
1.
Let dK sF ( K , L)dt not random, dL nLdt LdzL , and KL 0 (uncorrelated)
K
capital-labor ratio .
Find dk where k
L
2.
Let dK sF ( K , L)dt KdzK , dL nLdt not random, and KL 0 (uncorrela
Econ 455/655 Options and Futures
Problem Set I
Instructions:
1.
No Excel Spreadsheet. Hand in a hardcopy.
2.
Show your formulas and steps clearly.
Lau
Due: 2/1/2017
In this class, we will focus on stock, currency and commodities derivatives. If you want t
Econ 455/655 Options and Futures
Problem Set VII
Lau
Due: 4/5/17
If you are going to take Econ 690-01 (5/22/17-6/09/17 M-F 6-10:30pm), please make sure to
register for the class ASAP.
If you want to work in the financial market, you should take this class
Econ 455/655 Options and Futures
Problem Set VIII
1.
Lau
Due: 4/12/17
(20 points) A financial institution plans to offer a derivative that pays off a dollar amount
equal to ST2 at time T .
a)
Use risk-neutral valuation to show that the price of the deriva
Econ 616
Mathematical Economics II
Problem Set XIII
Lau
Due: 5/19/17
5
1.
min
u
(4 x u
2
)dt
s.t. x ' u, x(0) 10, x(5) 0
)dt
s.t. x ' u, x(0) 10, x(5) 0, x(t ) 6 2t
0
5
2
3.
min
u
(4 x u
2
0
Solve the following difference equations. Is the root real or
Econ 455/655 Options and Futures
Problem Set VII
Lau
Due: 4/5/17
1.
Use the data (in the attached spreadsheet) on AAPL and compute the volatility of the stock for
the period 01/04/2010-4/4/12. (Include printed Excel spreadsheets for the first 5 rows and
t
1
Econ 690
Special Topics in Options and Futures
Problem Set VI
Lau
1.
Suppose that a bond yield 250 basis points more than a similar risk-free bond. Assume the
expected recovery rate in the event of a default is 40%. Calculate .
2.
Consider the following
Exercise 1 Question 1
Since k = K/L, we have:
ln k
Take time derivative:
=
ln K
k
K
=
k
K
We also know that:
ln L
L
.
L
K = sY
and
K,
L
= n,
L
we have
k
k
sY
=
n
Y
( + n)
K
Y /L
s
( + n)
K/L
y
s
( + n)
k
sy ( + n) k.
=
s
=
=
) k
K
K
=
Question 2
According
COMPREHENSIVE MACROECONOMICS EXAMINATION
SPRING 2011
Instructions. You have 4 hours to finish the exam. There are 7 questions in the exam. You must
answer QUESTIONS 1 AND 2 and choose 2 other questions among the rest of questions. If
you answer all questi
Modern Geology and the Principle of Uniformity
The principle of uniformity holds that the present if the key to the past. That is to say that the
processes that are in motion today were also in motion in the distant past. There are various reasons why
You
Distribution Mgt.
Market Logistics and Supply Chain Mgt.
LOGISTICS
A business planning framework for the management of materials, service
information and capital flows.
LOGISTICS MANAGEMENT
Plans, Implement and controls materials and information flows wit
Fatima Grace L. Bontilao
BSBA-MKTG II
Operations Management
Module D Waiting-Line Models
Outline
Characteristics of a Waiting-Line System
Arrival Characteristics
Waiting-Line Characteristics
Service Characteristics
Measuring a Queues Performance
waiting l
The most important thing about buying and operating a franchise is
your access to and right to sell goods (or services) that the public
already knows, trusts, and buys. Unlike businesses that are started
from scratch, a franchise gives you instant name an
Case Study: Best Practices at the FedEx Corporation
Abstract:
The case examines FedEx Corporation's various innovative HR practices, which earned it
the reputation of being one of the most employee-friendly companies in the world.
The case gives an overvi
Unilever and PepsiCo Create 'Pepsi Lipton International' RtD Tea Joint Venture in Selected
International Markets
Lipton was created at the end of the 19th century by a grocer, Sir Thomas Lipton,
in Glasgow, Scotland. In 1893, he established the Thomas J L
Econ 620 Problem Set 6
Due Monday 4/24
This assignment uses the same time-series data that you gathered for Problem Set 5.
Problem 1: Linear Probability Models
1. In Stata, create a recession indicator dummy variable (call it rec) equal to 1 during each t
Econ 691
1.
Special Topics in Options and Futures
Quiz XIII
Lau
Due: 6/10/17
midnight
(10 points) Following page 168-169 in the notes.
When I pick random numbers from the standard normal distribution, I get
z1 0.50 and z2 0.20 .
a)
b)
c)
2.
Using 1 2 0, 1
ECONOMICS 602: GRADUATE MACROECONOMICS
HOMEWORK ASSIGNMENT 4 (ANSWER KEY)
CHAPTER 18: Inflation, Unemployment and Aggregate Supply
Exercise 1: Inter-sectoral Labor Mobility and the Expectationsaugmented Phillips Curve
In Section 2 we abstracted from inter
Econ 690
Special Topics in Options and Futures
Problem Set V
Lau
1.
Consider a position consisting of a long position of $100,000 investment in asset A and a short
position of $100,000 investment in asset B. Assume that the daily volatility of A is 3%, th
ECONOMICS 602: GRADUATE MACROECONOMICS
HOMEWORK ASSIGNMENT 2
SPRING 2017
DUE DATE: MARCH 3
CHAPTER 5: TECHNOLOGICAL PROGRESS AND GROWTH
Exercise 1: Time to Halve
In Section 4 we arrived at the dynamic equation, ln yt+1 ln yt = (ln y ln yt ), which is (34)
Econ 455/655Options and FuturesI
Lecture Notes
Professor Man-lui Lau
I
Forward and Future Contracts
Definition:
A DERIVATIVE (or derivative security) is a financial instrument whose value depends
on the values of other, more basic underlying variables.
De