S&P 500 for next 9 qtrs with and w/o case shiller price index for till 2018Q1

# set the periods of calculation
kg <- "1992-01-01::2018-03-31"
kikan <- "1992-01-01::2018-03-31"
k2k <- "2000-01-01::2018-03-31"   #GPUC model is based data only from 2000 because of cs index availability
# prepare parameters.
l <- 48  # # of months to predict
r <- 1.05 # pesumed GDP growth rate
i <- seq(2,l/3,1)  # seq of quarters to predict
d <- as.Date(as.yearqtr(seq(Sys.Date(),as.Date("2100-12-31"),by="quarters")[i])) # pick up the first day of each quarters.
# for the case the current time is more than 6 months away from the last GDP data, the below is to adjust # of months for GDP forecast.
# get data from FRED and store selfregression data

getSymbols("GDP",src="FRED")
G <- GDP
m_GDP <- as.xts(as.vector(last(GDP)) * r**(i/4),d)
getSymbols("PAYEMS",src="FRED")
PA <- PAYEMS
m_PA <- (as.xts(forecast(auto.arima(PA),h=l)$mean[1:l],as.Date(as.yearmon(seq(mondate(index(last(PA)))+1,by=1,length.out=l))))[(3-month(index(last(PA))) %% 3) + seq(1,l-3,3)])[d]
getSymbols("UNDCONTSA",src="FRED")
# UC <- UNDCONTSA
# comment out here until UNDCONTSA update is resumed in FRED.
m_UC <- (as.xts(forecast(auto.arima(UC),h=l)$mean[1:l],as.Date(as.yearmon(seq(mondate(index(last(UC)))+1,by=1,length.out=l))))[(3-month(index(last(UC))) %% 3) + seq(1,l-3,3)])[d]
getSymbols('SPCS10RSA',src='FRED')
CS <- SPCS10RSA
m_CS <-
(as.xts(forecast(auto.arima(CS),h=l)$mean[1:l],as.Date(as.yearmon(seq(mondate(index(last(CS)))+1,by=1,length.out=l))))[(3-month(index(last(CS))) %% 3) + seq(1,l-3,3)])[d]


# download data from yahoo finace before this.
SP5 <- as.xts(read.zoo(read.csv("~/SP5.csv")))



### caution still in debug
if(floor(MonthsBetween(mondate(last(index(G))),mondate(Sys.Date()))) > 5){ i <- i+1}
### caution ends





# predict next 9 qtrs. by GPU model
my_sp5(kikan,m_GDP[1:9],m_PA_backup[1:9],m_UC[1:9])
# by GPUC model borrow index from PA for case shiller index.
# use "as.xts()", not "xts()"
# this assumes case shiller index of the next qtr is 223 and it will add 2 pts. each qtr.
my_sp5cs(k2k,m_GDP[1:9],m_PA[1:9],m_UC[1:9],as.xts(seq(223,223+2*8,2),index(m_PA[1:9])))
# or use m_CS[1:9]