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PART 1: HTML TAGS AND ATTRIBUTES
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Tutorial on Building a Website
Step 1 | Step 2 | Step 3 | Step 4 | Enhancing Your Site
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connected to the Internet the entire time you're reading this, as you may be dire
file:/H:/econ251/econ251/content/sessions/lecture26.html
Open Yale Courses
ECON 251: Financial Theory
Lecture 26 - The Leverage Cycle and Crashes
< previous session
Overview:
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In order to unde
ECON 251: Financial Theory
Professor: John Geanakoplos
February 28, 2012
Yale University
Midterm #1: Answer Key
1. (15 pts) Let
U A (x1 , x2 ) = log x1 + log x2
A
(eA
1 , e2 ) = (4, 17)
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U B (x1 , x
ECON 251: Financial Theory
Professor: John Geanakoplos
February 28, 2012
Yale University
Midterm #1
Instructions: This exam will be 75 minutes long. There are 5 questions on the exam. Put
each question in a separate blue book. Put your name on each blue b
Financial Theory 251a - Midterm 1
October 24, 2006
John Geanakoplos
Instructions. Please begin by writing your name on each of 5 blue books. Number the books 1-5. Please
answer each question in a separate blue book.
1. (Fisher) Imagine an economy with two
Econ 251: Financial Theory
Professor John Geanakoplos
TA: Chris Fiore
Spring 2012
Yale University
1. The Red and Black card problem
A pile of cards has 5 cards, 3 red and 2 black. You draw the cards sequentially. If you get a black card,
you win $1. If yo
ECON 251: Financial Theory
Professor: John Geanakoplos
TA: Alexis Akira Toda
Spring 2012
Yale University
Problem Set #9: Answer Key
1 (Default Arbitrage). Suppose the Unites States, Brazil and Argentina all issue $1 zeroes.
The US has issued both a one an
Econ 251a
Due Tuesday April 3
John Geanakoplos
Spring 2012
Problem Set 8
1. Dynamic Mortgage Hedging: Consider a 3 year 100% rate mortage, with
face value $140, and anual payments (as in the last problem set).
(a) What is the annual payment?
(b) What is t
Economics 251a John Geanakoplos Spring 2012 Due February 14, 2012
Problem Set 4
1. (a) Let a 10-year Treasury bond of face $100 pay a 10% annual coupon
in six-month installments of $5 each (and $100 + $5 at age 10 years).
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Econ 251a
Due Thursday, March 29
John Geanakoplos
Spring 2012
Problem Set 7
1. The Red and Black card problem
A pile of cards has 5 cards, 3 red and 2 black. You draw the cards sequentially.
If you get a black card, you win $1. If you get a red card, you
1. Econ 251a
John Geanakoplos
Due Thursday, April 12
Spring 2012
Problem Set 9
1. Default arbitrage
sh is
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vi y re
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Suppose the Unites States, Brazil and Argentina all issue $1 zeroes. The US has issued both
Econ 251: Financial Theory
Professor John Geanakoplos
TA: Chris Fiore
Spring 2012
Yale University
1. The Red and Black card problem
A pile of cards has 5 cards, 3 red and 2 black. You draw the cards sequentially. If you get a black card,
you win $1. If yo
ECON 251: Financial Theory
Professor: John Geanakoplos
TA: Bin Li
Spring 2012
Yale University
Problem Set #6: Answer Key
1. A funds quarterly returns are independent. Its long run annual volatility is 64%. In the long run,
what is its quarterly volatility
Finance, Zvi Bodie and Robert C. Merton, Upper Saddle River, New Jersey: Prentice
Hall, 2000.
In developing Finance Zvi Bodie and Robert Merton collected input from hundreds of
colleagues teaching introductory finance courses. The result is a long awaited
Introduction to Boosted Trees
Tianqi Chen
Oct. 22 2014
Outline
Review of key concepts of supervised learning
Regression Tree and Ensemble (What are we Learning)
Gradient Boosting (How do we Learn)
Summary
Elements in Supervised Learning
Notations:
i-
A Resource for Free-standing Mathematics Qualifications
Maxima and Minima
To find a maximum or minimum:
Find an expression for the quantity you are trying to maximise/minimise (y say) in
terms of one other variable (x).
dy
Find an expression for
and put
Lecture # 14 - Optimization of Functions of One Variable (cont.)
Extreme points for concave and convex functions
We saw last lecture that x0 is a maximum point for f () if
f 0 (x) 0 for x x0
f 0 (x) 0 for x x0
But, if a function satisfies f 0 (x) 0 fo
1
Math 105- Calculus for Economics & Business
Sections 10.3 & 10.4 : Optimization problems
How to solve an optimization problem?
1. Step 1: Understand the problem and underline what is important ( what is known, what is unknown,
what we are looking for, d
Academic Events
INDIAN INSTITUTE OF TECHNOLOGY HYDERABAD
Academic Calendar I Semester 201617
(July Dec 2016)
First Semester 2016-17
Supplementary Examination
27 July(Wed) 01 Aug(Mon)
Registration
Old UG and PG Registration
25 July (Mon)
New UG/PG Registra
close all
clear all
w=0:.001*pi:1.5*pi;
for i=1:400
x(i)=1;
end
for i=1:13
wi(i)=w(i*30);
end
for i=600:length(w)
x(i)=0;
end
for i=401:599
x(i)=3-(5/(pi)*w(i);
end 0efining desired filter with wp=.4pi,ws=.6pi
figure
plot(w,x)
title('desired filter')
xlab
close all
clear all
w=0:.001*pi:1.5*pi;
for i=1:400
x(i)=1;
end
for i=1:9
wi(i)=w(i*44);
end
for i=600:length(w)
x(i)=0;
end
for i=401:599
x(i)=3-(5/(pi)*w(i);
end 0efining desired filter with wp=.4pi,ws=.6pi
figure
plot(w,x)
title('desired filter')
xlabe
close all
clear all
w=0:.001*pi:1.5*pi;
for i=1:400
x(i)=1;
end
for i=1:13
wi(i)=w(i*30);
end
for i=600:length(w)
x(i)=0;
end
for i=401:599
x(i)=3-(5/(pi)*w(i);
end 0efining desired filter with wp=.4pi,ws=.6pi
figure
plot(w,x)
title('desired filter')
xlab
clc;
clear all;
close all;
L=input('enter the value of L:');
h=ones(1,2*L+1);
h=h;
for i=1:2*L+1
if rem(i,2)=0
h(i)=0;
end
end
h(1)=0.5;
stem(h);
t=0:0.4*pi/(2*L+1):0.4*pi-0.4*pi/(2*L+1);
fvtool(h);
wp=0.4*pi;
ws=0.6*pi;
w=zeros(1,L+2);
r=0;
for i=2:1:flo
close all
clear all
w=0:.001*pi:1.5*pi;
for i=1:400
x(i)=1;
end
for i=1:16
wi(i)=w(i*25);
end
for i=600:length(w)
x(i)=0;
end
for i=401:599
x(i)=3-(5/(pi)*w(i);
end 0efining desired filter with wp=.4pi,ws=.6pi
figure
plot(w,x)
title('desired filter')
xlab
close all
clear all
w=0:.001*pi:1.5*pi;
for i=1:400
x(i)=1;
end
for i=1:13
wi(i)=w(i*30);
end
for i=600:length(w)
x(i)=0;
end
for i=401:599
x(i)=3-(5/(pi)*w(i);
end 0efining desired filter with wp=.4pi,ws=.6pi
figure
plot(w,x)
title('desired filter')
xlab
Practice Problems
CS1010: Discrete Mathematics for Computer Science
Instructions: You may use any result covered in class/assignments/exams,
provided you state it before using it.
1. Let p, q, r be propositions such that p is true and q, r are both false.
Practice Problems
CS1010: Discrete Mathematics for Computer Science
Instructions: You may use any result covered in class/assignments/exams,
provided you state it before using it.
1. Let p, q, r be propositions such that p is true and q, r are both false.