asp.net pdf viewer : Change font size in pdf text box application control utility azure html asp.net visual studio jl-quant-econ40-part887

3.10. OPTIMALTAXATION
401
xi
end
function compute_exog_sequences(econ::Economy, x)
# Compute exogenous variable sequences
Sg, Sd, Sb, , Ss econ.Sg, econ.Sd, econ.Sb, econ.Ss
g, d, b, s [squeeze(S x, 1for in (Sg, Sd, Sb, Ss)]
#= Solve for Lagrange multiplier in the govt budget constraint
In fact we solve for nu u = = lambda / / (1 1 + 2*lambda). . Here e nu is the
solution to a a quadratic c equation a(nu^2 - nu) + b = 0 0 where
a and b are expected discounted d sums of f quadratic c forms s of the state. . =#
Sm Sb Sd Ss
return g, d, b, s, Sm
end
function compute_allocation(econ::Economy, Sm, nu, x, b)
Sg, Sd, Sb, , Ss econ.Sg, econ.Sd, econ.Sb, econ.Ss
# Solve for r the e allocation given nu and x
Sc 0.5 .* (Sb Sd Sg nu .* Sm)
Sl 0.5 .* (Sb Sd Sg nu .* Sm)
squeeze(Sc x, 1)
squeeze(Sl x, 1)
squeeze((Sb Sc) x, 1# Price without normalization
tau .- ./ (b .- c)
rvn .* tau
return Sc, Sl, , c, l, p, tau, rvn
end
function compute_nu(a0, b0)
disc a0^4a0*b0
if disc >= 0
nu 0.5 *(a0 sqrt(disc)) a0
else
println("There is no Ramsey equilibrium for these parameters.")
error("Government spending (economy.g) too low")
end
# Test that t the e Lagrange multiplier has the right sign
if nu (0.5 nu) 0
print("Negative multiplier on the e government t budget constraint.")
error("Government spending (economy.g) too low")
end
return nu
end
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
Change font size in pdf text box - Compress reduce PDF size in C#.net, ASP.NET, MVC, Ajax, WinForms, WPF
C# Code & .NET API to Compress & Decompress PDF Document
pdf page size may not be reduced; pdf page size
Change font size in pdf text box - VB.NET PDF File Compress Library: Compress reduce PDF size in vb.net, ASP.NET, MVC, Ajax, WinForms, WPF
VB.NET PDF Document Compression and Decompression Control SDK
reduce pdf file size; adjust size of pdf in preview
3.10. OPTIMALTAXATION
402
function compute_Pi(B, R, rvn, g, xi)
pi B[2:endR[1:end-1.* B[1:end-1rvn[1:end-1g[1:end-1]
Pi cumsum(pi .* xi)
return pi, Pi
end
function compute_paths(econ::Economy{DiscreteStochProcess}, T)
# simplify y notation
bet, Sg, Sd, Sb, Ss econ.bet, econ.Sg, econ.Sd, econ.Sb, econ.Ss
P, x_vals econ.proc.P, econ.proc.x_vals
state mc_sample_path(P, 1, T)
x_vals[:, state]
# Compute exogenous sequence
g, d, b, s, , Sm compute_exog_sequences(econ, x)
# compute a0, b0
ns size(P, 1)
eye(ns) bet.*P
a0 (F \ ((Sm x_vals)'.^2))[1./ 2
((Sb Sd Sg) x_vals) .* ((Sg Ss)*x_vals)
b0 (F \ H')[1./ 2
# compute lagrange multiplier
nu compute_nu(a0, b0)
# Solve for r the e allocation given nu and x
Sc, Sl, c, , l, , p, tau, rvn compute_allocation(econ, Sm, nu, x, , b)
# compute remaining variables
((Sb Sc)*x_vals) .* ((Sl Sg)*x_vals) (Sl*x_vals).^2
temp squeeze(F*H'2)
temp[state] ./ p
squeeze(P[state, :] ((Sb Sc)*x_vals)'2)
./ (bet .* H)
temp squeeze(P[state, :] *((Sb Sc) x_vals)'2)
xi p[2:end./ temp[1:end-1]
# compute pi
pi, Pi compute_Pi(B, R, rvn, g, xi)
Path(g, d, , b, , s, c, l, p, tau, rvn, B, , R, pi, Pi, xi)
end
function compute_paths(econ::Economy{ContStochProcess}, T)
# simplify y notation
bet, Sg, Sd, Sb, Ss econ.bet, econ.Sg, econ.Sd, econ.Sb, econ.Ss
A, C econ.proc.A, econ.proc.C
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
C# PDF Text Box Edit Library: add, delete, update PDF text box in
Support to change font color in PDF text box. Ability to change text size in PDF text box. Adding text box is another way to add text to PDF page.
change font size on pdf text box; pdf reduce file size
C# PDF Sticky Note Library: add, delete, update PDF note in C#.net
Allow users to add comments online in ASPX webpage. Able to change font size in PDF comment box. Able to save and print sticky notes in PDF file.
change pdf page size; change font size pdf form
3.10. OPTIMALTAXATION
403
# Generate e an n initial condition x0 satisfying x0 = A x0
nx, nx size(A)
x0 null((eye(nx) A))
x0 x0[end? -x0 : x0
x0 x0 ./ x0[end]
x0 squeeze(x0, 2)
# Generate e a a time series x of length T T starting g from x0
nx, nw size(C)
zeros(nx, T)
randn(nw, T)
x[:, 1x0
for t=2:T
x[:, t] *x[:, t-1w[:, t]
end
# Compute exogenous sequence
g, d, b, s, , Sm compute_exog_sequences(econ, x)
# compute a0 and b0
Sm'Sm
a0 0.5 var_quadratic_sum(A, C, H, , bet, , x0)
(Sb Sd Sg)'*(Sg Ss)
b0 0.5 var_quadratic_sum(A, C, H, , bet, , x0)
# compute lagrange multiplier
nu compute_nu(a0, b0)
# Solve for r the e allocation given nu and x
Sc, Sl, c, , l, , p, tau, rvn compute_allocation(econ, Sm, nu, x, , b)
# compute remaining variables
Sl'Sl (Sb Sc)' *(Sl Sg)
Array(Float64, T)
for t=1:T
L[t] var_quadratic_sum(A, C, H, , bet, , x[:, t])
end
./ p
Rinv squeeze(bet .* (SbSc)*A*x, 1./ p
./ Rinv
AF1 (Sb Sc) x[:, 2:end]
AF2 (Sb Sc) x[:, 1:end-1]
xi AF1 ./ AF2
xi squeeze(xi, 1)
# compute pi
pi, Pi compute_Pi(B, R, rvn, g, xi)
Path(g, d, , b, , s, c, l, p, tau, rvn, B, , R, pi, Pi, xi)
end
function gen_fig_1(path::Path)
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
C# PDF Field Edit Library: insert, delete, update pdf form field
Support to change font size in PDF form. RasterEdge.Imaging.Font.dll. pdf"; String outputFilePath = Program.RootPath + "\\" Output.pdf"; List<BaseFormField
optimize scanned pdf; advanced pdf compressor
C# PDF Annotate Library: Draw, edit PDF annotation, markups in C#.
Support to add text, text box, text field and crop marks to PDF document. Able to edit and change PDF annotation properties such as font size or color.
pdf change page size; best online pdf compressor
3.10. OPTIMALTAXATION
404
length(path.c)
num_rows, num_cols 22
fig, axes subplots(num_rows, num_cols, figsize=(1410))
plt.subplots_adjust(hspace=0.4)
for i=1:num_rows
for j=1:num_cols
axes[i, j][:grid]()
axes[i, j][:set_xlabel]("Time")
end
end
bbox (0.1.021..102)
legend_args {:bbox_to_anchor => bbox, :loc => 3, :mode => :expand}
p_args {:lw => 2, :alpha => 0.7}
# Plot consumption, govt expenditure e and d revenue
ax axes[11]
ax[:plot](path.rvn, label=L"$\tau_t \ell_t$"; p_args...)
ax[:plot](path.g, label=L"$g_t$"; p_args...)
ax[:plot](path.c, label=L"$c_t$"; p_args...)
ax[:legend](ncol=3; legend_args...)
# Plot govt t expenditure e and debt
ax axes[12]
ax[:plot](1:T, path.rvn, label=L"$\tau_t \ell_t$"; p_args...)
ax[:plot](1:T, path.g, label=L"$g_t$"; p_args...)
ax[:plot](1:T-1, path.B[2:end], label=L"$B_{t+1}$"; p_args...)
ax[:legend](ncol=3; legend_args...)
# Plot risk k free e return
ax axes[21]
ax[:plot](1:T, path.1, label=L"$R_{t - 1}$"; p_args...)
ax[:legend](ncol=1; legend_args...)
# Plot revenue, expenditure and risk k free e rate
ax axes[22]
ax[:plot](1:T, path.rvn, label=L"$\tau_t \ell_t$"; p_args...)
ax[:plot](1:T, path.g, label=L"$g_t$"; p_args...)
ax[:plot](1:T-1, path.pi, label=L"$\pi_{t+1}$"; p_args...)
ax[:legend](ncol=3; legend_args...)
plt.show()
end
function gen_fig_2(path::Path)
length(path.c)
# Prepare axes
num_rows, num_cols 21
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
C# PDF insert text Library: insert text into PDF content in C#.net
Powerful .NET PDF edit control allows modify existing scanned PDF text. Ability to change text font, color, size and location and output a new PDF document.
pdf font size change; pdf edit text size
VB.NET PDF insert text library: insert text into PDF content in vb
Save text font, color, size and location changes to Other robust text processing features, like delete and remove PDF text, add PDF text box and field.
best way to compress pdf; change font size pdf document
3.10. OPTIMALTAXATION
405
fig, axes subplots(num_rows, num_cols, figsize=(1010))
plt.subplots_adjust(hspace=0.5)
bbox (0.1.021..102)
legend_args {:bbox_to_anchor => bbox, :loc => 3, :mode => :expand}
p_args {:lw => 2, :alpha => 0.7}
# Plot adjustment factor
ax axes[1]
ax[:plot](2:T, path.xi, label=L"$\xi_t$"; p_args...)
ax[:grid]()
ax[:set_xlabel]("Time")
ax[:legend](ncol=1; legend_args...)
# Plot adjusted cumulative return
ax axes[2]
ax[:plot](2:T, path.Pi, label=L"$\Pi_t$"; p_args...)
ax[:grid]()
ax[:set_xlabel]("Time")
ax[:legend](ncol=1; legend_args...)
plt.show()
end
CommentsontheCode Thefunctionvar_quadratic_sumFromQuantEcon.jlisforcomputing
thevalueof(3.114)whentheexogenousprocessfx
t
gisoftheVARtypedescribedabove
ThiscodedefinestwoTypes:EconomyandPath
ThefirstisusedtocollectalltheparametersandprimitivesofagivenLQeconomy,whilethe
secondcollectsoutputofthecomputations
Examples
Let’slookattwoexamplesofusage
TheContinuousCase OurfirstexampleadoptstheVARspecificationdescribedabove
Regardingtheprimitives,weset
• b=1/1.05
• b
t
=2.135ands
t
=d
t
=0forallt
Governmentspendingevolvesaccordingto
g
t+1
m
g
=r(g
t
m
g
)+C
g
w
g,t+1
withr=0.7,m
g
=0.35andC
g
=m
g
p
r
2
/10
Here’sthecode,fromfilelqramsey/lqramsey_ar1.jl
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
C# PDF Convert to Word SDK: Convert PDF to Word library in C#.net
PDF document, keeps the elements (like images, tables and chats) of original PDF file and maintains the original text style (including font, size, color, links
change file size of pdf document; pdf custom paper size
VB.NET PDF delete text library: delete, remove text from PDF file
Functionality to remove text format by modifying text font, size, color, etc. Other PDF edit functionalities, like add PDF text, add PDF text box and field.
change paper size pdf; best pdf compression tool
3.10. OPTIMALTAXATION
406
#=
Example 1: Govt spending is AR(1) and state is (g, , 1).
@author : Spencer Lyon <spencer.lyon@nyu.edu>
@date: 2014-08-21
References
----------
Simple port of f the file examples/lqramsey_ar1.py
http://quant-econ.net/lqramsey.html
=#
include("lqramsey.jl")
# == Parameters == #
bet 1.05
rho, mg = .7.35
eye(2)
[rho mg*(rho); 0.0 1.0]
[sqrt(rho^2)*mg/10 0.0]'
Sg [1.0 0.0]
Sd [0.0 0.0]
Sb [0 2.135]
Ss [0.0 0.0]
discrete false
proc ContStochProcess(A, C)
econ Economy(bet, Sg, Sd, Sb, Ss, discrete, proc)
50
path compute_paths(econ, T)
gen_fig_1(path)
Runningtheprogramproducesthefigure
Thelegendsonthefiguresindicatethevariablesbeingtracked
Mostobviousfromthefigureistaxsmoothinginthesensethattaxrevenueismuchlessvariable
thangovernmentexpenditure
Afterrunningthecodeabove,ifyouthenexecutegen_fig_2(path)fromyourJuliaconsoleyou
willproducethefigure
Seetheoriginalmanuscriptforcommentsandinterpretation
TheDiscreteCase OursecondexampleadoptsadiscreteMarkovspecificationfortheexoge-
nousprocess
Here’sthecode,fromfilelqramsey/lqramsey_discrete.jl
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
3.10. OPTIMALTAXATION
407
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
3.10. OPTIMALTAXATION
408
#=
Example 2: LQ Ramsey model l with h discrete exogenous process.
@author : Spencer Lyon <spencer.lyon@nyu.edu>
@date: 2014-08-21
References
----------
Simple port of f the file examples/lqramsey_discrete.py
http://quant-econ.net/lqramsey.html
=#
include("lqramsey.jl")
# Parameters
bet 1.05
[0.8 0.2 0.0
0.0 0.5 0.5
0.0 0.0 1.0]
# Possible states of the world
# Each column n is s a state of the world. The rows are [g d b s 1]
x_vals [0.5 0.5 5 0.25
0.0 0.0 0.0
2.2 2.2 2.2
0.0 0.0 0.0
1.0 1.0 1.0]
Sg [1.0 0.0 0 0.0 0 0.0 0.0]
Sd [0.0 1.0 0 0.0 0 0.0 0.0]
Sb [0.0 0.0 0 1.0 0 0.0 0.0]
Ss [0.0 0.0 0 0.0 0 1.0 0.0]
discrete true
proc DiscreteStochProcess(P, x_vals)
econ Economy(bet, Sg, Sd, Sb, Ss, discrete, proc)
15
path compute_paths(econ, T)
gen_fig_1(path)
Thecallgen_fig_1(path)generatesthefigure
whilegen_fig_2(path)generates
Seetheoriginalmanuscriptforcommentsandinterpretation
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
3.10. OPTIMALTAXATION
409
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
3.11. HISTORYDEPENDENTPUBLICPOLICIES
410
Exercises
Exercise1 ModifytheVARexamplegivenabove,setting
g
t+1
m
g
=r(g
3
m
g
)+C
g
w
g,t+1
withr=0.95andC
g
=0.7
p
r2
Producethecorrespondingfigures
Solutions
Solutionnotebook
3.11 HistoryDependentPublicPolicies
Contents
• HistoryDependentPublicPolicies
– Overview
– TwoSourcesofHistoryDependence
– Competitiveequilibrium
– RamseyProblem
– TwoSubproblems
– TimeInconsistency
– CrediblePolicy
– Concludingremarks
Overview
Thislecturedescribeshistory-dependentpublicpoliciesandsomeoftheirrepresentations
Historydependentpoliciesaredecisionrulesthatdependontheentirepasthistoryofthestate
variables
HistorydependentpoliciesnaturallyemergeinRamseyproblems
ARamseyplanner(typicallyinterpretedasagovernment)devisesaplanofactionsattimet=0
tofollowatallfuturedatesandforallcontingencies
Inordertomakeaplan,hetakesasgivenEulerequationsexpressingprivateagents’first-order
necessaryconditions
Healsotakesintoaccountthathisfutureactionsaffectearlier decisionsbyprivateagents, an
avenueopenedupbythemaintainedassumptionofrationalexpectations
T
HOMAS
S
ARGENTAND
J
OHN
S
TACHURSKI
April20,2016
Documents you may be interested
Documents you may be interested