This can be done using Selenium, see https://github.com/ropensci/RSelenium .
require(wdman)
require(RSelenium)
selPort <- 4444L
fprof <- makeFirefoxProfile(list(browser.download.dir = "C:\\temp"
, browser.download.folderList = 2L
, browser.download.manager.showWhenStarting = FALSE
, browser.helperApps.neverAsk.saveToDisk = "application/zip"))
selServ <- selenium(port = selPort)
remDr <- remoteDriver(extraCapabilities = fprof, port = selPort)
remDr$open(silent = TRUE)
remDr$navigate("https://www.chicagofed.org/applications/bhc_data/bhcdata_index.cfm")
webElem <- remDr$findElement("name", "SelectedYear")
webElems <- webElem$findChildElements("css selector", "option")
webElems[[which(sapply(webElems, function(x){x$getElementText()}) == "2012" )]]$clickElement()
webElem <- remDr$findElement("name", "SelectedQuarter")
Sys.sleep(1)
webElems <- webElem$findChildElements("css selector", "option")
webElems[[which(sapply(webElems, function(x){x$getElementText()}) == "4th Quarter" )]]$clickElement()
webElem <- remDr$findElement("id", "downloadDataFile")
webElem$clickElement()
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