Skip to content
Open
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
43 changes: 22 additions & 21 deletions RBC_R.R
Original file line number Diff line number Diff line change
Expand Up @@ -12,14 +12,13 @@ bbeta = 0.95; # Discount factor
vProductivity <- c(0.9792, 0.9896, 1.0000, 1.0106, 1.0212);

# Transition matrix
mTransition <- c(0.9727, 0.0273, 0.0000, 0.0000, 0.0000,
0.0041, 0.9806, 0.0153, 0.0000, 0.0000,
0.0000, 0.0082, 0.9837, 0.0082, 0.0000,
0.0000, 0.0000, 0.0153, 0.9806, 0.0041,
0.0000, 0.0000, 0.0000, 0.0273, 0.9727);
mTransition <- c(0.9727, 0.0041, 0, 0, 0,
0.0273, 0.9806, 0.0082, 0, 0,
0, 0.0153, 0.9837, 0.0153, 0,
0, 0, 0.0082, 0.9806, 0.0273,
0, 0, 0, 0.0041, 0.9727);

mTransition <- matrix(mTransition,nrow=5,ncol=5);
mTransition <- t(mTransition)
mTransition <- matrix(mTransition,nrow=5L,ncol=5L);

## 2. Steady State

Expand All @@ -38,35 +37,37 @@ nGridProductivity <- length(vProductivity);

# 3. Required matrices and vectors

mOutput <- matrix(0,nGridCapital,nGridProductivity);
mValueFunction <- matrix(0,nGridCapital,nGridProductivity);
mValueFunctionNew <- matrix(0,nGridCapital,nGridProductivity);
mPolicyFunction <- matrix(0,nGridCapital,nGridProductivity);
expectedValueFunction <- matrix(0,nGridCapital,nGridProductivity);
mOutput <- mValueFunction <- mValueFunctionNew <-
mPolicyFunction <- expectedValueFunction <-
matrix(0,nGridCapital,nGridProductivity);

## 4. We pre-build output for each point in the grid

mOutput = as.matrix(vGridCapital^aalpha)%*%t(as.matrix(vProductivity));
mOutput = (vGridCapital^aalpha)%*%t(vProductivity);

## 5. Main iteration

maxDifference <- 10;
tolerance <- 0.0000001;
iteration <- 0;

# pre-declare 1:n for inner loops
GridProductivityIndex = seq_len(nGridProductivity)
GridCapitalIndex = seq_len(nGridCapital)

while (maxDifference>tolerance){

expectedValueFunction = mValueFunction %*% t(mTransition);

for (nProductivity in 1:nGridProductivity){
for (nProductivity in GridProductivityIndex){

# We start from previous choice (monotonicity of policy function)
gridCapitalNextPeriod <- 1;
gridCapitalNextPeriod <- 1L;

for (nCapital in 1:nGridCapital){
for (nCapital in GridCapitalIndex){

valueHighSoFar <- -100000;
capitalChoice <- vGridCapital[1];
capitalChoice <- vGridCapital[1L];

for (nCapitalNextPeriod in gridCapitalNextPeriod:nGridCapital){

Expand All @@ -92,8 +93,8 @@ while (maxDifference>tolerance){
maxDifference <- max(abs(mValueFunctionNew-mValueFunction));
mValueFunction <- mValueFunctionNew;

iteration = iteration+1;
if ((iteration %% 10)==0 | iteration ==1){
iteration = iteration+1L;
if ((iteration %% 10L)==0L | iteration == 1L){
cat(" Iteration = ", iteration," Sup Diff = ", maxDifference,"\n");
}

Expand All @@ -102,7 +103,7 @@ while (maxDifference>tolerance){
cat(" Iteration = ", iteration," Sup Diff = ", maxDifference,"\n");
cat(" \n")

cat(" My chek = ", mPolicyFunction[1000,3],"\n");
cat(" My chek = ", mPolicyFunction[1000L,3L],"\n");
cat(" \n")

cat(" Time = ", proc.time() - ptm,"\n");
cat(" Time = ", proc.time() - ptm,"\n");