From 59425632a17fdb7d7dc696042875baba463ac140 Mon Sep 17 00:00:00 2001 From: Simon Trimborn Date: Fri, 29 Mar 2019 15:50:03 +0000 Subject: [PATCH] version 0.1-1 --- DESCRIPTION | 17 +++ MD5 | 29 +++++ NAMESPACE | 17 +++ R/CRIXwrappers.R | 41 +++++++ R/IndexComp.R | 219 ++++++++++++++++++++++++++++++++++++ R/IndexEval.R | 51 +++++++++ R/IndexLoop.R | 193 +++++++++++++++++++++++++++++++ R/IndexMemberSelection.R | 147 ++++++++++++++++++++++++ R/IndexMembersUpdate.R | 93 +++++++++++++++ R/IndexUpdate.R | 4 + R/RelativeWeights.R | 4 + R/SwitchDates.R | 24 ++++ data/CryptoData.RData | Bin 0 -> 3973208 bytes data/datalist | 1 + inst/CITATION | 24 ++++ man/CRIX.Rd | 43 +++++++ man/ECRIX.Rd | 43 +++++++ man/EFCRIX.Rd | 43 +++++++ man/IndexComp.Rd | 81 +++++++++++++ man/IndexMemberSelection.Rd | 82 ++++++++++++++ man/IndexMembersUpdate.Rd | 48 ++++++++ man/IndexUpdate.Rd | 40 +++++++ man/LCRIX.Rd | 44 ++++++++ man/LECRIX.Rd | 44 ++++++++ man/LEFCRIX.Rd | 44 ++++++++ man/RelativeWeights.Rd | 33 ++++++ man/SwitchDates.Rd | 36 ++++++ man/marketData.Rd | 17 +++ man/priceData.Rd | 17 +++ man/volData.Rd | 17 +++ 30 files changed, 1496 insertions(+) create mode 100644 DESCRIPTION create mode 100644 MD5 create mode 100644 NAMESPACE create mode 100644 R/CRIXwrappers.R create mode 100644 R/IndexComp.R create mode 100644 R/IndexEval.R create mode 100644 R/IndexLoop.R create mode 100644 R/IndexMemberSelection.R create mode 100644 R/IndexMembersUpdate.R create mode 100644 R/IndexUpdate.R create mode 100644 R/RelativeWeights.R create mode 100644 R/SwitchDates.R create mode 100644 data/CryptoData.RData create mode 100644 data/datalist create mode 100644 inst/CITATION create mode 100644 man/CRIX.Rd create mode 100644 man/ECRIX.Rd create mode 100644 man/EFCRIX.Rd create mode 100644 man/IndexComp.Rd create mode 100644 man/IndexMemberSelection.Rd create mode 100644 man/IndexMembersUpdate.Rd create mode 100644 man/IndexUpdate.Rd create mode 100644 man/LCRIX.Rd create mode 100644 man/LECRIX.Rd create mode 100644 man/LEFCRIX.Rd create mode 100644 man/RelativeWeights.Rd create mode 100644 man/SwitchDates.Rd create mode 100644 man/marketData.Rd create mode 100644 man/priceData.Rd create mode 100644 man/volData.Rd diff --git a/DESCRIPTION b/DESCRIPTION new file mode 100644 index 0000000..ffc1b85 --- /dev/null +++ b/DESCRIPTION @@ -0,0 +1,17 @@ +Package: IndexConstruction +Type: Package +Title: Index Construction for Time Series Data +Version: 0.1-1 +Date: 2019-03-25 +Author: Simon Trimborn +Maintainer: Simon Trimborn +LazyLoad: yes +LazyData: true +Depends: R (>= 2.10) +Imports: KernSmooth, fGarch, lubridate, xts, RcppBDT, zoo +Description: Derivation of indexes for benchmarking purposes. The methodology of the CRyptocurrency IndeX (CRIX) family with flexible number of constituents is implemented. Also functions for market capitalization and volume weighted indexes with fixed number of constituents are available. The methodology behind the functions provided gets introduced in Trimborn and Haerdle (2018) . +License: GPL (>= 3) +NeedsCompilation: no +Packaged: 2019-03-25 02:08:44 UTC; matsim +Repository: CRAN +Date/Publication: 2019-03-29 16:50:03 UTC diff --git a/MD5 b/MD5 new file mode 100644 index 0000000..818efdf --- /dev/null +++ b/MD5 @@ -0,0 +1,29 @@ +21ab0e60d738da9da2f830f0fc22e476 *DESCRIPTION +d49d84e3f91092578b3969a2c87e81e9 *NAMESPACE +70aaa902c6a9eae00ad8dd72f638b2cb *R/CRIXwrappers.R +50ac1ff9cab1ca95118c4e20c49b0743 *R/IndexComp.R +d2c0a5c2616d983f0a74d05371a4dd73 *R/IndexEval.R +06d40c34574ce39df85c386684fef54c *R/IndexLoop.R +3395066b42318dc5ce9cc10236785c0c *R/IndexMemberSelection.R +89fcbf034dc1f07bc01400e652c2daa9 *R/IndexMembersUpdate.R +80434123f2a18caf5d1607ba453f4d48 *R/IndexUpdate.R +2b93d31df319888b559b67f2de351fbc *R/RelativeWeights.R +662ac8867dd97f202e83e61febae4b75 *R/SwitchDates.R +199c301086baae8c18ffc79e45d811ac *data/CryptoData.RData +7c699b51ebd02eda5b76c33225e91189 *data/datalist +b09de006b611cb84739c53cfe3771b9f *inst/CITATION +639cf1149c43a615508f02ae89c905d2 *man/CRIX.Rd +eaefd014b392e7382cdb215b24afb9b9 *man/ECRIX.Rd +bc92a6715ac0a47f8ee2e3a0ffcc83b4 *man/EFCRIX.Rd +5b32face713cbc9c7998a8e2252feb92 *man/IndexComp.Rd +6c3260f597a4091052c749b32e99680c *man/IndexMemberSelection.Rd +985c9b7c49b875444dfc5100372cc47b *man/IndexMembersUpdate.Rd +e13db512b944559c526e7289abb7ac47 *man/IndexUpdate.Rd +7f88c7c4d4fe7478296ca611572e12ca *man/LCRIX.Rd +0c7f13adbbe3c9e49ba217f59088acf0 *man/LECRIX.Rd +22380196596f2b958d7b5a6110c604ac *man/LEFCRIX.Rd +7a4b6047e2578fc5631684bf9f399653 *man/RelativeWeights.Rd +d505b7e832d2daf78593cde418a85523 *man/SwitchDates.Rd +3035265cf9fedab107be5fc912d43f0c *man/marketData.Rd +b716fe2621ad924b1574155a8d306b86 *man/priceData.Rd +2dcba450227d1ef2a5baff32f3b7b7c8 *man/volData.Rd diff --git a/NAMESPACE b/NAMESPACE new file mode 100644 index 0000000..8dda311 --- /dev/null +++ b/NAMESPACE @@ -0,0 +1,17 @@ +## regular functions: + +export("IndexComp", "SwitchDates", "IndexUpdate", "RelativeWeights", "IndexMemberSelection", "IndexMembersUpdate", +"CRIX", "ECRIX", "EFCRIX", "LCRIX", "LECRIX", "LEFCRIX" +) + +# imports: + +import(lubridate) +import(xts) +import(fGarch) +import(KernSmooth) + +importFrom(stats, lm, var) +importFrom(utils, tail) +importFrom(RcppBDT, getNthDayOfWeek) +importFrom(zoo, index, na.locf) \ No newline at end of file diff --git a/R/CRIXwrappers.R b/R/CRIXwrappers.R new file mode 100644 index 0000000..ff3e078 --- /dev/null +++ b/R/CRIXwrappers.R @@ -0,0 +1,41 @@ +CRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "market", weighting.all = "market", IC = "AIC", EvalSeq = "AllTogether", optimum = "local", + start.const = 5, steps = 5, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} + +ECRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "market", weighting.all = "market", IC = "AIC", EvalSeq = "AllTogether", optimum = "local", + start.const = 1, steps = 1, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} + +EFCRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "market", weighting.all = "market", IC = "AIC", EvalSeq = "AllTogether", optimum = "global", + start.const = 1, steps = 1, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} + +LCRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "volume", weighting.all = "volume", IC = "AIC", EvalSeq = "AllTogether", optimum = "local", + start.const = 5, steps = 5, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} + +LECRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "volume", weighting.all = "volume", IC = "AIC", EvalSeq = "AllTogether", optimum = "local", + start.const = 1, steps = 1, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} + +LEFCRIX = function(market, price, vol = NULL, days.line) { + IndexComp(market = market, price = price, vol = vol, weighting = "volume", weighting.all = "volume", IC = "AIC", EvalSeq = "AllTogether", optimum = "global", + start.const = 1, steps = 1, fixed.value = NULL, base.value = 1000, + derivation.period = 1, derivation.period.ic = 3, + days.line = days.line) +} diff --git a/R/IndexComp.R b/R/IndexComp.R new file mode 100644 index 0000000..ff4c028 --- /dev/null +++ b/R/IndexComp.R @@ -0,0 +1,219 @@ +IndexComp = function(market, price, vol = NULL, weighting = "market", weighting.all = "market", IC = "AIC", EvalSeq = c("Sequential", "AllTogether"), optimum = c("local", "global"), start.const = 1, steps = 1, fixed.value = NULL, base.value = 1000, derivation.period = 1, derivation.period.ic = 3, + days.line) { + + if (class(price)[1] != "xts" | class(market)[1] != "xts") { + stop("The data for 'price' and 'market' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if (class(vol)[1] != "xts" & is.null(vol) == FALSE) { + stop("The data for 'vol' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if ((weighting != "market" & weighting != "volume") | (weighting.all != "market" & weighting.all != "volume")) { + stop("The weighting scheme has to be either 'market' or 'volume'. Please chose either of the two options.") + } + if ((EvalSeq != "Sequential" & EvalSeq != "AllTogether")) { + stop("The evaluation scheme 'EvalSeq' has to be either 'Sequential' or 'AllTogether'. Please chose either of the two options.") + } + if ((optimum != "local" & optimum != "global")) { + stop("The optimal point 'optimum' has to be either 'local' or 'global'. Please chose either of the two options.") + } + if ((IC != "AIC" & IC != "GCV" & IC != "GFCV" & IC != "SH" & IC != "Cp" & IC != "FPE")) { + stop("The Information Criterion 'IC' has to be either 'AIC', 'GCV', 'GFCV', 'SH', 'Cp' or 'FPE'. Please chose either of the options.") + } + if ((weighting == "volume" | weighting.all == "volume") & is.null(vol)) { + stop("When weighting by trading volume is chosen, a data entry for volume is required.") + } + if (length(days.line) < derivation.period.ic*2) { + stop(paste("The number of periods to select the number of constituents for is not long enough. ", derivation.period.ic*2, " month of data are required for the derivation. Please provide a longer dataset or decrease the number of month over which the number of constituents shall be derived.", sep = "")) + } + index_periods = max(floor(derivation.period.ic / derivation.period), 1) + numb_aic1 = (length(days.line) - (derivation.period)) / derivation.period.ic + if ((numb_aic1%%1 == 0) == TRUE){ + numb_aic = numb_aic1 - 1 + } else { + numb_aic = floor(numb_aic1) + } + + index_comp_numb = seq(start.const, dim(price)[[2]], steps) + aic_matrix = matrix(NA, nrow = numb_aic, ncol = length(index_comp_numb)) + aic_compare = matrix(NA, nrow = numb_aic, ncol = length(index_comp_numb)) + max_coin_numb = c() + crix = crix_all = crix_all_comp = c() + plot_diff_values = rep(list(list()), numb_aic) + cryptos_available = list() + weights_list = list() + weights_list2 = list() + + ### start calculation index + for (per in 1:numb_aic){ + print(paste(per, " / ", numb_aic, sep = "")) + + ### in case no optimization is wished for, just a fixed value index + if (is.null(fixed.value)) { + + ### days to alter the index members for choice of optimal settings + current_lines = days.line[seq((1 + derivation.period.ic * + (per - 1)), (derivation.period.ic * per + (derivation.period + 1)), + derivation.period)] + 1 + begin_line = current_lines[2] + ### total market index + index_t_v_all = index.comp(market = market, price = price, vol = vol, weighting = weighting.all, index.const = "all", base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + max_coin_numb[per] = max(sapply(index_t_v_all[[2]], length)) + + if (EvalSeq == "AllTogether") { + index_t_v_numb = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_comp_numb[1], base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + } + + ### indices with different numbers of constituents + for (per1 in 1:(length(index_comp_numb)-1)){ + if (EvalSeq == "Sequential") { + index_t_v_numb = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_comp_numb[per1], base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + } + + if (is.null(index_t_v_numb)) {break} + d = c() + p = c() + for (l in 1:length(index_t_v_numb[[2]])) { + if (l == 1) { + for (k in 1:length(index_t_v_numb[[2]])) { + if (EvalSeq == "Sequential") { + p[k] = length(which(!is.na(index_t_v_numb[[2]][[k]][(index_comp_numb[per1] + 1):index_comp_numb[per1 + 1]]) == TRUE)) + } else if (EvalSeq == "AllTogether") { + p[k] = length(which(!is.na(index_t_v_numb[[2]][[k]][(index_comp_numb[1] + 1):index_comp_numb[per1 + 1]]) == TRUE)) + } + } + } + if (EvalSeq == "AllTogether" && any(p != per1*steps)) {break} + if (EvalSeq == "Sequential") { + a = price[paste(current_lines[l+1]-1, "::", current_lines[l+2] - 1, sep = ""), index_t_v_numb[[2]][[l]][(index_comp_numb[per1] + 1):index_comp_numb[per1 + 1]]] + } else if (EvalSeq == "AllTogether") { + a = price[paste(current_lines[l+1]-1, "::", current_lines[l+2] - 1, sep = ""), index_t_v_numb[[2]][[l]][(index_comp_numb[1] + 1):index_comp_numb[per1 + 1]]] + } + + a[a == 0] = NA + a = na.locf(a, na.rm = FALSE) + a = na.locf(a, fromLast = TRUE) + b = diff(log(a)) + # this part is only relevant for sequential + if (dim(b)[[2]] < max(p)) { + while(dim(b)[[2]] < max(p)) { + b = cbind(b, 0) + } + } + # + colnames(b) = 1:dim(b)[[2]] + d = rbind(d,b[-1,]) + } + if (EvalSeq == "AllTogether" && any(p != per1*steps)) {break} + if (per1 == 1) { + plot_diff_first = diff(log(c(base.value, index_t_v_all[[1]]))) - diff(log(c(base.value, index_t_v_numb[[1]]))) + } + plot_diff = diff(log(c(base.value, index_t_v_all[[1]]))) - diff(log(c(base.value, index_t_v_numb[[1]]))) + data_x = d + erg = lm(plot_diff ~ data_x - 1) + plot_diff_values[[per]][[per1]] = plot_diff + + ### evaluation of current index with an IC method + aic_compare[per, per1] = IndexEval(plot.diff = erg$residuals, index.numb = length(erg$coefficients), IC = IC, plot.diff.first = plot_diff_first) + aic_matrix[per, per1] = IndexEval(plot.diff = plot_diff, index.numb = 0, IC = IC, plot.diff.first = plot_diff_first) + + if (optimum == "local" && EvalSeq == "Sequential") { + # if (per1 >= 2){ + if (aic_matrix[per, per1] <= aic_compare[per, per1]){ + break + } + # } + } else if (optimum == "local" && EvalSeq == "AllTogether") { + if (per1 >= 2){ + if (aic_compare[per, per1-1] <= aic_compare[per, per1]){ + break + } + } else if (per1 == 1) { + if (aic_matrix[per, per1] <= aic_compare[per, per1]){ + break + } + } + } + } + + ### choice of optimal index members + if (optimum == "local" && EvalSeq == "Sequential") { + if (per1 > 1) { + index_members = index_comp_numb[per1 - 1] + } else if (per1 == 1) { + index_members = index_comp_numb[per1] + } + } else if (optimum == "local" && EvalSeq == "AllTogether") { + index_members = index_comp_numb[per1] + } else if (optimum == "global" && EvalSeq == "Sequential") { # works for Sequential and AllTogether + index_members = which.min(aic_compare[per,]) * steps + } else if (optimum == "global" && EvalSeq == "AllTogether") { # works for Sequential and AllTogether + index_members = which.min(c(aic_matrix[per, 1], aic_compare[per,])) * steps + } + + ### end if which controls fixed_value = NULL + } else { + index_members = fixed.value + } + + ### days to alter the index members for application of optimal settings + current_lines1 = days.line[seq((1 + derivation.period.ic * (per)), + (derivation.period.ic * (per + 1) + (derivation.period + 1)), + derivation.period)] + 1 + begin_line1 = current_lines1[2] + ### calculation of index under the chosen settings, means the chosen number of constituents + crix1 = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_members, base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines1, + begin.line.func = begin_line1, comp1 = TRUE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + + while (is.null(crix1)){ + index_members = index_members - 1 + crix1 = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_members, base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines1, + begin.line.func = begin_line1, comp1 = TRUE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + } + crix2 = crix1[[1]] + weights_list[[per]] = crix1[[4]] + weights_list2[[per]] = crix1[[5]] + ### total market index rebased at the total market index + crix_all2 = index.comp(market = market, price = price, vol = vol, weighting = weighting.all, index.const = "all", base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines1, + begin.line.func = begin_line1, comp1 = TRUE, comp = FALSE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + cryptos_available[[per]] = crix_all2[[2]] + + crix_all1 = crix_all2[[1]] + ### total market index rebased at the index + crix_all4 = index.comp(market = market, price = price, vol = vol, weighting = weighting.all, index.const = "all", base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines1, + begin.line.func = begin_line1, comp1 = TRUE, comp = TRUE, per = per, numb.aic = numb_aic, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + crix_all3 = crix_all4[[1]] + if (per == 1){ + crix = do.call(cbind,list(crix2)) + crix_all = do.call(cbind,list(crix_all1)) + crix_all_comp = do.call(cbind,list(crix_all3)) + } else { + crix = rbind(crix, do.call(cbind, list(crix2))) + crix_all = rbind(crix_all, do.call(cbind, list(crix_all1))) + crix_all_comp = rbind(crix_all_comp, do.call(cbind, list(crix_all3))) + } + } + + ### output + list(crix, crix_all, crix_all_comp, cryptos_available, weights_list) +} + + + + diff --git a/R/IndexEval.R b/R/IndexEval.R new file mode 100644 index 0000000..d8ea8b1 --- /dev/null +++ b/R/IndexEval.R @@ -0,0 +1,51 @@ +IndexEval = function(plot.diff, index.numb, IC = "AIC", plot.diff.first) { + switch(IC, AIC = { + logLik1 = c() + bw = dpik(plot.diff.first, kernel = "epanech", gridsize = 3201L) + for (cv1 in 1:length(plot.diff)){ + eva = function(x) { + eva_dat = (x - plot.diff.first)/bw + erg_dat = c() + for (i in 1:length(eva_dat)) { + if (abs(eva_dat[i]) <= sqrt(5)) { + erg_dat[i] = 3/(4*sqrt(5)) * (1 - (eva_dat[i]^2/5)) + } else { + erg_dat[i] = 1e-20 # computational 0, used to circumvent the problem of infinity after tacking log + } + } + erg_d = sum(erg_dat)/(bw*length(plot.diff.first)) + } + eva1 = eva(plot.diff[cv1]) + logLik1[cv1] = log(eva1) + } + + logLik = sum(logLik1) + aic = 2 * index.numb - 2 * logLik + return(aic) + }, + GCV = { + gcv = mean(plot.diff^2) / ((1 - index.numb/length(plot.diff))^2) + return(gcv) + }, + GFCV = { + gfcv = mean(plot.diff^2) * ((1 + index.numb/length(plot.diff))^2) + return(gfcv) + }, + SH = { + sh = ((length(plot.diff) + 2*index.numb) / (length(plot.diff)^2)) * sum(plot.diff^2) + return(sh) + }, + Cp = { + cp_var = try(sum(garchFit(data = plot.diff)@h.t), silent = TRUE) + if (class(cp_var) == "try-error"){ + cp_var = var(plot.diff) + } + cp = (sum(plot.diff^2)/cp_var) - length(plot.diff) + 2 * index.numb + return(cp) + }, + FPE = { + fpe = ((length(plot.diff) + index.numb) / (length(plot.diff) + index.numb)) * mean(plot.diff^2) + return(fpe) + } + ) # close switch +} \ No newline at end of file diff --git a/R/IndexLoop.R b/R/IndexLoop.R new file mode 100644 index 0000000..8687db4 --- /dev/null +++ b/R/IndexLoop.R @@ -0,0 +1,193 @@ +index.comp = function(market, price, vol, weighting, index.const, base.value, index.periods, order.derive, + current.lines.func, begin.line.func, comp, comp1, per, numb.aic, crix, crix.all, crix.all.comp){ + + index = list() + index_members_m = list() + index_members_t = list() + order_market_list = list() + weight_list = list() + weight_list2 = list() + divisor_list = list() + + if (per == 1){ + index_value = base.value + } else if (comp1 == T) { + if (comp == T){ + index_value = tail(crix[, 1], n = 1)[[1]] + } else { + index_value = tail(crix.all[, 1], n = 1)[[1]] + } + } else if (comp1 == F){ + index_value = base.value + } + ########################################################## + ############## for loop for index computation ############ + ########################################################## + for (i in 1:(index.periods)){ + if (i == 1){ + last_index_period_time = price[paste(current.lines.func[1],(current.lines.func[2] - 1), sep="::")] + last_index_period_market = market[paste(current.lines.func[1],(current.lines.func[2] - 1), sep="::")] + last_index_period_vol = vol[paste(current.lines.func[1],(current.lines.func[2] - 1), sep="::")] + if (is.null(vol) == TRUE | weighting == "market") { + omit_last = Reduce(intersect, list(which(apply(is.na( + last_index_period_time), 2, any) + == F), which(apply(is.na(last_index_period_market), 2, any) == F))) + } else { + omit_last = Reduce(intersect, list(which(apply(is.na( + last_index_period_time), 2, any) + == F), which(apply(is.na(last_index_period_market), 2, any) == F), + which(apply(is.na(last_index_period_vol), 2, any) == F))) + } + + last_index_period_time = last_index_period_time[, omit_last] + last_index_period_market = last_index_period_market[, omit_last] + last_index_period_vol = last_index_period_vol[, omit_last] + if (is.null(vol) == TRUE | weighting == "market") { + omit_last_zero = Reduce(intersect, list(which(apply( + last_index_period_time == 0, 2, any) == F), which(apply( + last_index_period_market == 0, 2, any) == F))) + } else { + omit_last_zero = Reduce(intersect, list(which(apply( + last_index_period_time == 0, 2, any) == F), which(apply( + last_index_period_market == 0, 2, any) == F), which(apply( + last_index_period_vol == 0, 2, any) == F))) + } + + last_index_period_time = last_index_period_time[, omit_last_zero] + last_index_period_market = last_index_period_market[, omit_last_zero] + last_index_period_vol = last_index_period_vol[, omit_last_zero] + } else { + if (is.null(vol) == TRUE | weighting == "market") { + omit_now = Reduce(intersect, list(which(apply(is.na( + index_period_time), 2, any) + == F), which(apply(is.na(index_period_market), 2, any) == F))) + } else { + omit_now = Reduce(intersect, list(which(apply(is.na( + index_period_time), 2, any) + == F), which(apply(is.na(index_period_market), 2, any) == F), + which(apply(is.na(index_period_vol), 2, any) == F))) + } + + last_index_period_time = index_period_time[, omit_now] + last_index_period_market = index_period_market[, omit_now] + last_index_period_vol = index_period_vol[, omit_now] + + if (is.null(vol) == TRUE | weighting == "market") { + omit_now_zero = Reduce(intersect, list(which(apply( + index_period_time == 0, 2, any) == F), which(apply( + index_period_market == 0, 2, any) == F))) + } else { + omit_now_zero = Reduce(intersect, list(which(apply( + index_period_time == 0, 2, any) == F), which(apply( + index_period_market == 0, 2, any) == F), which(apply( + index_period_vol == 0, 2, any) == F))) + } + + last_index_period_time = index_period_time[, omit_now_zero] + last_index_period_market = index_period_market[, omit_now_zero] + last_index_period_vol = index_period_vol[, omit_now_zero] + } + + if (dim(last_index_period_market)[2] <= index.const & index.const != "all"){ + return(NULL) + } + + last_line = if (i == 1){ + begin.line.func + } else { + next_line + } + break_loop = FALSE + if (per == numb.aic & is.na(current.lines.func[i + (2)]) == T) { + next_line = tail(index(price),n=1) + 1 + break_loop = TRUE + } else { + next_line = current.lines.func[i + 2] + } + last_index_time = price[(last_line - 1)] + last_index_market = market[(last_line - 1)] + + if (weighting == "volume") { + last_index_vol = vol[(last_line - 1)] + order_market = order(last_index_vol[,colnames(last_index_period_vol)], + decreasing = T) + } else if (weighting == "market") { + order_market = order(last_index_market[,colnames(last_index_period_market)], + decreasing = T) + } + + if (order.derive == T){ + order_market_list = append(order_market_list, list(colnames( + last_index_period_time[, order_market]))) + } + + if (length(order_market) >= index.const){ + order_market = order_market[1:index.const] + } + + index_members_m[[i]] = colnames(last_index_period_market)[order_market] + index_members_t[[i]] = colnames(last_index_period_time)[order_market] + last_index_period_time = last_index_period_time[, order_market] + last_index_period_market = last_index_period_market[, order_market] + last_index_period_vol = last_index_period_vol[, order_market] + + if (weighting == "volume") { + index_weights = colSums(last_index_period_vol) / colSums(last_index_period_market) + } else if (weighting == "market") { + index_weights = rep(1, length(order_market)) + } + + if (is.null(dim(last_index_period_market)) == T) { + if (i == 1){ + divisor = sum(index_weights * tail(last_index_period_market, n = 1)) / index_value + } else if (i > 1){ + divisor = sum(index_weights * last_index_market[,index_members_m[[i]]]) / + index[[i - 1]][length(index[[i - 1]])] + } + } else { + if (i == 1){ + divisor = sum(index_weights * tail(last_index_period_market[, index_members_m[[i]]], + n = 1)) / index_value + } else if (i > 1){ + divisor = sum(index_weights * last_index_market[,index_members_m[[i]]]) / + index[[i - 1]][length(index[[i - 1]])] + } + } + + index_period_time = price[paste(last_line,(next_line - 1),sep="::")] + index_period_market = market[paste(last_line,(next_line - 1),sep="::")] + index_period_vol = vol[paste(last_line,(next_line - 1),sep="::")] + + index_period_time1 = na.locf(price)[paste(last_line,(next_line - 1),sep="::")] + + index_old_amount = (last_index_market)[,index_members_m[[i]]] / + (last_index_time)[,index_members_t[[i]]] + if (is.null(dim(index_period_time1))) { + index_comp1 = t(t(index_period_time1[index_members_t[[i]]]) * (index_weights * as.vector(index_old_amount))) + index[[i]] = sum(index_comp1) + } else { + index_comp1 = t(t(index_period_time1[, index_members_t[[i]]]) * (index_weights * as.vector(index_old_amount))) + index[[i]] = apply(index_comp1, 1, sum) + } + index[[i]] = index[[i]] / divisor + + weight_list[[i]] = (index_weights * as.vector(index_old_amount)) + weight_list2[[i]] = t(t(index_period_time1[, index_members_t[[i]]]) * (index_weights * as.vector(index_old_amount))) + divisor_list[[i]] = divisor + + if (break_loop == T){ + break + } + } # end for loop + + ################### Index derivation done + # building whole index time series + plot_index = c() + for (i in 1:length(index)){ + plot_index = c(plot_index, index[[i]]) + } + + list(plot_index, order_market_list, index_weights, weight_list, weight_list2, divisor_list) +} + +# end function diff --git a/R/IndexMemberSelection.R b/R/IndexMemberSelection.R new file mode 100644 index 0000000..c7551f7 --- /dev/null +++ b/R/IndexMemberSelection.R @@ -0,0 +1,147 @@ +IndexMemberSelection = function(market, price, vol, weighting = "market", weighting.all = "market", IC = "AIC", + EvalSeq = c("Sequential", "AllTogether"), optimum = c("local", "global"), start.const = 1, steps = 1, + fixed.value = NULL, derivation.period = 1, derivation.period.ic = 3, base.value = 1000, + days.line) { + + if (class(price)[1] != "xts" | class(market)[1] != "xts") { + stop("The data for 'price' and 'market' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if (class(vol)[1] != "xts" & is.null(vol) == FALSE) { + stop("The data for 'vol' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if ((weighting != "market" & weighting != "volume") | (weighting.all != "market" & weighting.all != "volume")) { + stop("The weighting scheme has to be either 'market' or 'volume'. Please chose either of the two options.") + } + if ((EvalSeq != "Sequential" & EvalSeq != "AllTogether")) { + stop("The evaluation scheme 'EvalSeq' has to be either 'Sequential' or 'AllTogether'. Please chose either of the two options.") + } + if ((optimum != "local" & optimum != "global")) { + stop("The optimal point 'optimum' has to be either 'local' or 'global'. Please chose either of the two options.") + } + if ((IC != "AIC" & IC != "GCV" & IC != "GFCV" & IC != "SH" & IC != "Cp" & IC != "FPE")) { + stop("The Information Criterion 'IC' has to be either 'AIC', 'GCV', 'GFCV', 'SH', 'Cp' or 'FPE'. Please chose either of the options.") + } + if ((weighting == "volume" | weighting.all == "volume") & is.null(vol)) { + stop("When weighting by trading volume is chosen, a data entry for volume is required.") + } + if (length(days.line) < derivation.period.ic*2) { + stop(paste("The number of periods to select the number of constituents for is not long enough. ", derivation.period.ic*2, " month of data are required for the derivation. Please provide a longer dataset or decrease the number of month over which the number of constituents shall be derived.", sep = "")) + } + if (length(days.line) > derivation.period.ic*2) { + warning(paste("The number of periods to select the number of constituents for is larger than ", derivation.period.ic*2, " month. Is this intended?", sep = "")) + } + index_periods = max(floor(derivation.period.ic / derivation.period), 1) + + index_comp_numb = seq(start.const, dim(price)[[2]], steps) + aic_matrix = matrix(NA, nrow = 1, ncol = length(index_comp_numb)) + aic_compare = matrix(NA, nrow = 1, ncol = length(index_comp_numb)) + max_coin_numb = c() + crix = crix_all = crix_all_comp = c() + + current_lines = days.line[seq(1, (derivation.period.ic + (derivation.period + 1)), + derivation.period)] + 1 + begin_line = current_lines[2] + + ### total market index + index_t_v_all = index.comp(market = market, price = price, vol = vol, weighting = weighting.all, index.const = "all", base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = 1, numb.aic = 1, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + max_coin_numb[1] = max(sapply(index_t_v_all[[2]], length)) + + if (EvalSeq == "AllTogether") { + index_t_v_numb = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_comp_numb[1], base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = 1, numb.aic = 1, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + } + + ### indices with different numbers of constituents + for (per1 in 1:(length(index_comp_numb)-1)){ + if (EvalSeq == "Sequential") { + index_t_v_numb = index.comp(market = market, price = price, vol = vol, weighting = weighting, index.const = index_comp_numb[per1], base.value = base.value, + index.periods = index_periods, order.derive = TRUE, current.lines.func = current_lines, + begin.line.func = begin_line, comp1 = FALSE, comp = TRUE, per = 1, numb.aic = 1, + crix = crix, crix.all = crix_all, crix.all.comp = crix_all_comp) + } + + if (is.null(index_t_v_numb)) {break} + d = c() + p = c() + for (l in 1:length(index_t_v_numb[[2]])) { + if (l == 1) { + for (k in 1:length(index_t_v_numb[[2]])) { + if (EvalSeq == "Sequential") { + p[k] = length(which(!is.na(index_t_v_numb[[2]][[k]][(index_comp_numb[per1] + 1):index_comp_numb[per1 + 1]]) == TRUE)) + } else if (EvalSeq == "AllTogether") { + p[k] = length(which(!is.na(index_t_v_numb[[2]][[k]][(index_comp_numb[1] + 1):index_comp_numb[per1 + 1]]) == TRUE)) + } + } + } + if (EvalSeq == "AllTogether" && any(p != per1*steps)) {break} + if (EvalSeq == "Sequential") { + a = price[paste(current_lines[l+1]-1, "::", current_lines[l+2] - 1, sep = ""), index_t_v_numb[[2]][[l]][(index_comp_numb[per1] + 1):index_comp_numb[per1 + 1]]] + } else if (EvalSeq == "AllTogether") { + a = price[paste(current_lines[l+1]-1, "::", current_lines[l+2] - 1, sep = ""), index_t_v_numb[[2]][[l]][(index_comp_numb[1] + 1):index_comp_numb[per1 + 1]]] + } + + a[a == 0] = NA + a = na.locf(a, na.rm = FALSE) + a = na.locf(a, fromLast = TRUE) + b = diff(log(a)) + # this part is only relevant for sequential + if (dim(b)[[2]] < max(p)) { + while(dim(b)[[2]] < max(p)) { + b = cbind(b, 0) + } + } + # + colnames(b) = 1:dim(b)[[2]] + d = rbind(d,b[-1,]) + } + if (EvalSeq == "AllTogether" && any(p != per1*steps)) {break} + if (per1 == 1) { + plot_diff_first = diff(log(c(base.value, index_t_v_all[[1]]))) - diff(log(c(base.value, index_t_v_numb[[1]]))) + } + plot_diff = diff(log(c(base.value, index_t_v_all[[1]]))) - diff(log(c(base.value, index_t_v_numb[[1]]))) + data_x = d + erg = lm(plot_diff ~ data_x - 1) + + ### evaluation of current index with an IC method + aic_compare[1, per1] = IndexEval(plot.diff = erg$residuals, index.numb = length(erg$coefficients), IC = IC, plot.diff.first = plot_diff_first) + aic_matrix[1, per1] = IndexEval(plot.diff = plot_diff, index.numb = 0, IC = IC, plot.diff.first = plot_diff_first) + + if (optimum == "local" && EvalSeq == "Sequential") { + if (aic_matrix[1, per1] <= aic_compare[1, per1]){ + break + } + } else if (optimum == "local" && EvalSeq == "AllTogether") { + if (per1 >= 2){ + if (aic_compare[1, per1-1] <= aic_compare[1, per1]){ + break + } + } else if (per1 == 1) { + if (aic_matrix[1, per1] <= aic_compare[1, per1]){ + break + } + } + } + } + + ### choice of optimal index members + if (optimum == "local" && EvalSeq == "Sequential") { + if (per1 > 1) { + index_members = index_comp_numb[per1 - 1] + } else if (per1 == 1) { + index_members = index_comp_numb[per1] + } + } else if (optimum == "local" && EvalSeq == "AllTogether") { + index_members = index_comp_numb[per1] + } else if (optimum == "global" && EvalSeq == "Sequential") { # works for Sequential and AllTogether + index_members = which.min(aic_compare[1,]) * steps + } else if (optimum == "global" && EvalSeq == "AllTogether") { # works for Sequential and AllTogether + index_members = which.min(c(aic_matrix[1, 1], aic_compare[1,])) * steps + } + + return(index_members) +} diff --git a/R/IndexMembersUpdate.R b/R/IndexMembersUpdate.R new file mode 100644 index 0000000..35b4ab9 --- /dev/null +++ b/R/IndexMembersUpdate.R @@ -0,0 +1,93 @@ +IndexMembersUpdate = function(market, price, vol, weighting, index.const, last.value){ + + if (class(price)[1] != "xts" | class(market)[1] != "xts") { + stop("The data for 'price' and 'market' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if (class(vol)[1] != "xts" & is.null(vol) == FALSE) { + stop("The data for 'vol' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if ((weighting != "market" & weighting != "volume")) { + stop("The weighting scheme has to be either 'market' or 'volume'. Please chose either of the two options.") + } + if ((weighting == "volume") & is.null(vol)) { + stop("When weighting by trading volume is chosen, a data entry for volume is required.") + } + order_market_list = list() + + index_value = last.value + ########################################################## + ################ index computation ####################### + ########################################################## + last_index_period_time = price + last_index_period_market = market + last_index_period_vol = vol + omit_last = Reduce(intersect, list(which(apply(is.na( + last_index_period_time), 2, any) + == F), which(apply(is.na(last_index_period_market), 2, any) == F), + which(apply(is.na(last_index_period_vol), 2, any) == F))) + last_index_period_time = last_index_period_time[, omit_last] + last_index_period_market = last_index_period_market[, omit_last] + last_index_period_vol = last_index_period_vol[, omit_last] + omit_last_zero = Reduce(intersect, list(which(apply( + last_index_period_time == 0, 2, any) == F), which(apply( + last_index_period_market == 0, 2, any) == F), which(apply( + last_index_period_vol == 0, 2, any) == F))) + last_index_period_time = last_index_period_time[, omit_last_zero] + last_index_period_market = last_index_period_market[, omit_last_zero] + last_index_period_vol = last_index_period_vol[, omit_last_zero] + + + if (dim(last_index_period_market)[2] <= index.const & index.const != "all"){ + return(NULL) + } + + last_line = tail(index(price), n = 1) + + last_index_time = price[last_line] + last_index_market = market[last_line] + last_index_vol = vol[last_line] + + if (weighting == "volume") { + order_market = order(last_index_vol[,colnames(last_index_period_vol)], + decreasing = T) + } else if (weighting == "market") { + order_market = order(last_index_market[,colnames(last_index_period_market)], + decreasing = T) + } + + order_market_list = append(order_market_list, list(colnames( + last_index_period_time[, order_market]))) + + if (length(order_market) >= index.const){ + order_market = order_market[1:index.const] + } + + index_members_m = colnames(last_index_period_market)[order_market] + index_members_t = colnames(last_index_period_time)[order_market] + last_index_period_time = last_index_period_time[, order_market] + last_index_period_market = last_index_period_market[, order_market] + last_index_period_vol = last_index_period_vol[, order_market] + + if (weighting == "volume") { + index_weights = colSums(last_index_period_vol) / colSums(last_index_period_market) + } else if (weighting == "market") { + index_weights = rep(1, length(order_market)) + } + + if (is.null(dim(last_index_period_market)) == T) { + divisor = sum(index_weights * tail(last_index_period_market, n = 1)) / index_value + } else { + divisor = sum(index_weights * tail(last_index_period_market[, index_members_m], + n = 1)) / index_value + } + + + index_old_amount = (last_index_market)[,index_members_m] / + (last_index_time)[,index_members_t] + + weight = (index_weights * as.vector(index_old_amount)) + + list(index_members_m, index_weights, weight, divisor) +} + +# end function diff --git a/R/IndexUpdate.R b/R/IndexUpdate.R new file mode 100644 index 0000000..ebe93f2 --- /dev/null +++ b/R/IndexUpdate.R @@ -0,0 +1,4 @@ +IndexUpdate = function(price, index.weights, divisor) { + index_value = sum(price * index.weights) / divisor + return(index_value) +} \ No newline at end of file diff --git a/R/RelativeWeights.R b/R/RelativeWeights.R new file mode 100644 index 0000000..2b761d3 --- /dev/null +++ b/R/RelativeWeights.R @@ -0,0 +1,4 @@ +RelativeWeights = function(price, index.weights) { + relative_weights = (price * index.weights) / sum(price * index.weights) + return(relative_weights) +} \ No newline at end of file diff --git a/R/SwitchDates.R b/R/SwitchDates.R new file mode 100644 index 0000000..9695f5b --- /dev/null +++ b/R/SwitchDates.R @@ -0,0 +1,24 @@ +SwitchDates = function(price, specificDate = NULL, WeekDay = NULL, Appearance = 1) { + if (class(price)[1] != "xts") { + stop("The data for 'price' have to be in the format 'xts'. Please check the R library 'xts' to convert the data.") + } + if (is.null(specificDate) & is.null(WeekDay)) { + stop("Please chose either a 'specificDate' to search for or a 'WeekDay'.") + } + language = Sys.getenv("LANG") + Sys.setenv(LANG = "en") + all_days = index(price) + if (!is.null(specificDate)) { + days_line = which(specificDate == day(all_days)) - 1 + dates = all_days[days_line] + } else if (!is.null(WeekDay)) { + MonthYear = cbind(month(all_days), year(all_days)) + SelectDay = c() + for (i in 1:dim(MonthYear)[1]) { + SelectDay[i] = getNthDayOfWeek(Appearance, WeekDay, MonthYear[i,1], MonthYear[i,2]) + } + dates = as.Date(unique(SelectDay), origin = "1970-01-01") + } + Sys.setenv(LANG = language) + return(dates) +} diff --git a/data/CryptoData.RData b/data/CryptoData.RData new file mode 100644 index 0000000000000000000000000000000000000000..4b1f706dd5e90b754563e981fa9efcae807c1abb GIT binary patch literal 3973208 zcmV(iK=;4>H+ooF0004LBHlIv03iV!0000G&sfajF?H|%T>vQ&2UJ%gRpOV<( 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