get simulated returns

generate-simulations.R

library(tidyverse)

set.seed(123)

returns <- read_csv("returns.csv") %>%
  select(Year, equities_sp, treasury_10yr) %>%
  gather(key = "Asset", value = "Returns", -Year) %>%
  mutate(Asset = ifelse(Asset=="equities_sp",
                        "Asset A: High risk, high return",
                        "Asset B: Low risk, low return"))

samplingA <- function(periods){
  z <- filter(returns, Asset == "Asset A: High risk, high return") %>%
    dplyr::sample_n(periods, replace = TRUE) %>%
    select(Returns) %>%
    mutate(Returns = Returns + 1)
  
  return((prod(z$Returns) ^ (1 / periods)) - 1)
}

samplingB <- function(periods){
  z <- filter(returns, Asset == "Asset B: Low risk, low return") %>%
    dplyr::sample_n(periods, replace = TRUE) %>%
    select(Returns) %>%
    mutate(Returns = Returns + 1)
  
  return((prod(z$Returns) ^ (1 / periods)) - 1)
}

getReturns <- function(n, simN = 200){
  valA <- samplingA(n)
  valA <- valA[0]
  
  valB <- samplingB(n)
  valB <- valB[0]
  
  for (i in 1:simN){
    zA <- samplingA(n)
    valA <- append(valA, zA)
    
    zB <- samplingB(n)
    valB <- append(valB, zB)
  }
  
  return(list(valA, valB))
}

getOrder <- function(val, name, reps=10000){
  tibble(returns = val) %>%
    arrange(desc(returns)) %>%
    mutate(id = rep(1:reps, each=1)) %>%
    group_by(id) %>%
    summarise(returns = mean(returns)) %>%
    mutate(id = as.factor(id),
           asset = name)
}


M = 200
val <- getReturns(30, 200)
r <- bind_rows(getOrder(val[[1]], "Stocks", M),getOrder(val[[2]], "Bonds", M))

getOrder(val[[1]], "Stocks")

simulations=10000

r2 <- r %>% spread(asset, returns)

returns_df = tibble()

for (j in seq(0, 1, by = 0.01)){
  Apct = j 
  Bpct = 1 - Apct
  print(Apct)
  print(Bpct)
  sample = sample(1:100,
                  size = simulations,
                  replace = TRUE)
  
  r_sample = r2[sample,]
  
  expReturns = r_sample$Stocks * Apct + r_sample$Bonds * Bpct
  
  expReturns_df <- tibble("expReturns" = expReturns, "stockAllocation" = Apct, "bondsAllocation" = Bpct)
  returns_df <- dplyr::bind_rows(returns_df,expReturns_df)
  
}

returns_df <- returns_df %>%
  mutate(stockAllocation = as.factor(stockAllocation)) %>%
  select(-bondsAllocation) %>%
  mutate(percrank=rank(expReturns)/length(expReturns)) %>%
  mutate(percrank=round(percrank, 4),
         expReturns=round(expReturns, 4))
mutate(quartile = case_when(
  percrank < 0.2 ~ 0,
  percrank < 0.4 ~ 1,
  percrank < 0.6 ~ 2,
  percrank < 0.8 ~ 3,
  percrank < 1 ~ 4
))

readr::write_csv(returns_df, "simulated-returns.csv")

gistfile1.txt

library(dplyr); library(magrittr); library(readr)

getReturn <- function(stock){
  readr::read_csv("simulated-returns.csv") %>%
    filter(stockAllocation == stock) %>%
    dplyr::sample_n(1)
}
## getReturn(0.02)

returns.csv

simulated-returns.csv

expReturns,stockAllocation,percrank
0.0504,0,0.011
0.0459,0,1e-4
0.0873,0,0.4571
0.0778,0,0.3117
0.0718,0,0.2258
0.0723,0,0.2335
0.0489,0,0.0058
0.0488,0,0.0053
0.0519,0,0.0181
0.0595,0,0.0757
0.0519,0,0.0181
0.0634,0,0.1187
0.0571,0,0.0533
0.0596,0,0.0768
0.0498,0,0.0084
0.0662,0,0.1527
0.0477,0,0.0025
0.0577,0,0.0591
0.0552,0,0.0389
0.0507,0,0.0119
0.081,0,0.3599
0.0496,0,0.0077
0.0465,0,6e-4
0.081,0,0.3599
0.0535,0,0.0272
0.0635,0,0.1206
0.0772,0,0.3039
0.0465,0,6e-4
0.0639,0,0.125
0.0464,0,4e-4
0.0499,0,0.009
0.0833,0,0.3953
0.0528,0,0.0224
0.0833,0,0.3953
0.0635,0,0.1206
0.047,0,0.0015
0.0635,0,0.1206
0.0762,0,0.2877
0.0598,0,0.0792
0.0602,0,0.0838
0.0503,0,0.0103
0.0699,0,0.2003
0.0552,0,0.0389
0.0519,0,0.0181
0.0548,0,0.0362
0.0535,0,0.0272
0.0617,0,0.0997
0.0496,0,0.0077
0.0617,0,0.0997
0.0543,0,0.0322
0.0483,0,0.0039
0.0503,0,0.0103
0.0595,0,0.0757
0.07,0,0.2023
0.0645,0,0.132
0.0535,0,0.0267
0.0477,0,0.0025
0.0542,0,0.0314
0.0465,0,6e-4
0.0528,0,0.0224
0.0666,0,0.1577
0.0543,0,0.0322
0.0602,0,0.0838
0.0542,0,0.0314
0.0519,0,0.0181
0.0792,0,0.3322
0.0525,0,0.0209
0.0504,0,0.011
0.0572,0,0.0549
0.0602,0,0.083
0.0498,0,0.0084
0.0531,0,0.0244
0.0488,0,0.0053
0.0619,0,0.1014
0.074,0,0.2566
0.0595,0,0.0757
0.0524,0,0.0205
0.0684,0,0.1818
0.0464,0,4e-4
0.0528,0,0.0224
0.0577,0,0.0591
0.07,0,0.2023
0.0727,0,0.2383
0.0483,0,0.0039
0.0584,0,0.0649
0.0689,0,0.1875
0.0535,0,0.0267
0.0587,0,0.0681
0.0496,0,0.0077
0.0547,0,0.0351
0.0534,0,0.026
0.0587,0,0.068
0.0525,0,0.0209
0.0617,0,0.0997
0.0723,0,0.2335
0.0762,0,0.2877
0.0571,0,0.0533
0.0833,0,0.3953
0.0478,0,0.0027
0.0548,0,0.0355
0.0478,0,0.0027
0.0873,0,0.4571
0.0547,0,0.0351
0.0646,0,0.1327
0.0598,0,0.0791
0.0699,0,0.2003
0.0722,0,0.2309
0.0602,0,0.0838
0.0478,0,0.0027
0.0517,0,0.0169
0.0517,0,0.0169
0.0465,0,8e-4
0.0503,0,0.0103
0.0595,0,0.0757
0.0684,0,0.1818
0.0598,0,0.0792
0.0571,0,0.0533
0.0531,0,0.0244
0.0465,0,8e-4
0.0763,0,0.2893
0.0778,0,0.3117
0.0498,0,0.0084
0.0718,0,0.2258
0.0725,0,0.2351
0.0602,0,0.0838
0.0668,0,0.1608
0.0578,0,0.0598
0.0575,0,0.0569
0.0723,0,0.2335
0.0477,0,0.0025
0.0598,0,0.0792
0.0807,0,0.3558
0.0534,0,0.026
0.0762,0,0.2877
0.0478,0,0.0027
0.0547,0,0.0351
0.0645,0,0.132
0.074,0,0.2566
0.0746,0,0.2649
0.0504,0,0.011
0.0524,0,0.0205
0.0689,0,0.1875
0.0609,0,0.0904
0.0645,0,0.132
0.0772,0,0.3039
0.0499,0,0.009
0.0587,0,0.0681
0.0507,0,0.0119
0.0498,0,0.0084
0.0525,0,0.0209
0.0718,0,0.2258
0.0537,0,0.0283
0.046,0,2e-4
0.0632,0,0.1168
0.0574,0,0.0567
0.0776,0,0.309
0.0535,0,0.0272
0.0614,0,0.0959
0.0668,0,0.1608
0.0668,0,0.1608
0.0634,0,0.1187
0.046,0,2e-4
0.0535,0,0.0267
0.0773,0,0.3042
0.059,0,0.0712
0.0602,0,0.0838
0.0614,0,0.0959
0.0609,0,0.0904
0.0596,0,0.0768
0.046,0,2e-4
0.0638,0,0.1241
0.0699,0,0.2003
0.0579,0,0.0615
0.0487,0,0.0048
0.0543,0,0.0322
0.0873,0,0.4571
0.0517,0,0.0169
0.0482,0,0.0036
0.0464,0,4e-4
0.0595,0,0.0758
0.0639,0,0.125
0.0873,0,0.4571
0.0684,0,0.1818
0.0504,0,0.011
0.0571,0,0.0533
0.0478,0,0.0027
0.0503,0,0.0103
0.0548,0,0.0362
0.0465,0,6e-4
0.0614,0,0.0959
0.0483,0,0.0039
0.0718,0,0.2258
0.0537,0,0.0283
0.0617,0,0.0997
0.0496,0,0.0074
0.0464,0,4e-4
0.0684,0,0.1818
0.0507,0,0.0119
0.0762,0,0.2877
0.0602,0,0.083
0.0587,0,0.0681
0.0614,0,0.0959
0.0807,0,0.3558
0.0503,0,0.0103
0.0873,0,0.4571
0.0776,0,0.309
0.0596,0,0.0768
0.0535,0,0.0272
0.0511,0,0.0142
0.0776,0,0.309
0.0574,0,0.0567
0.0873,0,0.4571
0.0718,0,0.2258
0.0498,0,0.0084
0.0776,0,0.309
0.0542,0,0.0314
0.0548,0,0.0355
0.0807,0,0.3558
0.0725,0,0.2351
0.0511,0,0.0142
0.0619,0,0.1014
0.0617,0,0.0997
0.0596,0,0.0768
0.0723,0,0.2335
0.0668,0,0.1608
0.0584,0,0.0649
0.074,0,0.2566
0.0727,0,0.2383
0.0517,0,0.0169
0.0482,0,0.0036
0.0635,0,0.1206
0.0498,0,0.0084
0.0778,0,0.3117
0.0772,0,0.3039
0.0684,0,0.1818
0.0763,0,0.2893
0.0464,0,4e-4
0.0722,0,0.2309
0.0727,0,0.2383
0.0507,0,0.0119
0.0478,0,0.0027
0.0595,0,0.0757
0.0638,0,0.1241
0.0873,0,0.4571
0.0498,0,0.0084
0.0699,0,0.2003
0.0617,0,0.0997
0.0595,0,0.0757
0.0525,0,0.0209
0.0617,0,0.0997
0.074,0,0.2566
0.0689,0,0.1875
0.0718,0,0.2258
0.0465,0,8e-4
0.0534,0,0.026
0.0507,0,0.0119
0.0638,0,0.1241
0.0465,0,6e-4
0.0609,0,0.0904
0.0587,0,0.0681
0.059,0,0.0712
0.0459,0,1e-4
0.0547,0,0.0351
0.0596,0,0.0768
0.0462,0,3e-4
0.0519,0,0.0181
0.0773,0,0.3042
0.053900000000000003,0,0.0293
0.0746,0,0.2649
0.0524,0,0.0205
0.0587,0,0.0681
0.0614,0,0.0959
0.0531,0,0.0244
0.0578,0,0.0598
0.0772,0,0.3039
0.0763,0,0.2893
0.0635,0,0.1206
0.059,0,0.0712
0.0595,0,0.0757
0.081,0,0.3599
0.0543,0,0.0322
0.0462,0,4e-4
0.0595,0,0.0758
0.0498,0,0.0084
0.0496,0,0.0077
0.0578,0,0.0598
0.0547,0,0.0351
0.0666,0,0.1577
0.0519,0,0.0181
0.0833,0,0.3953
0.0477,0,0.0025
0.0595,0,0.0758
0.081,0,0.3599
0.0668,0,0.1608
0.0634,0,0.1187
0.0477,0,0.0025
0.0483,0,0.0039
0.0459,0,1e-4
0.0595,0,0.0758
0.0462,0,3e-4
0.047,0,0.0015
0.0462,0,4e-4
0.0792,0,0.3322
0.0598,0,0.0792
0.0833,0,0.3953
0.0776,0,0.309
0.0662,0,0.1527
0.0548,0,0.0362
0.0773,0,0.3042
0.0483,0,0.0039
0.0833,0,0.3953
0.0543,0,0.0322
0.0572,0,0.0549
0.0535,0,0.0272
0.0548,0,0.0362
0.0505,0,0.0115
0.0571,0,0.0533
0.0482,0,0.0036
0.0579,0,0.0615
0.0519,0,0.0181
0.0661,0,0.1516
0.0658,0,0.1475
0.0807,0,0.3558
0.0542,0,0.0314
0.053900000000000003,0,0.0293
0.0517,0,0.0169
0.0662,0,0.1527
0.0645,0,0.132
0.0718,0,0.2258
0.0833,0,0.3953
0.0763,0,0.2893
0.0727,0,0.2383
0.0635,0,0.1206
0.0684,0,0.1818
0.074,0,0.2566
0.0662,0,0.1527
0.0587,0,0.068
0.0661,0,0.1516
0.0572,0,0.0549
0.0531,0,0.0244
0.0478,0,0.0027
0.0524,0,0.0205
0.0477,0,0.0025
0.0619,0,0.1014
0.0619,0,0.1014
0.0571,0,0.0533
0.0549,0,0.0364
0.0549,0,0.0364
0.0689,0,0.1875
0.0482,0,0.0036
0.0465,0,8e-4
0.0487,0,0.0048
0.0723,0,0.2335
0.0535,0,0.0267
0.0725,0,0.2351
0.0547,0,0.0351
0.0477,0,0.0025
0.0578,0,0.0598
0.0584,0,0.0649
0.081,0,0.3599
0.07,0,0.2023
0.0462,0,4e-4
0.0579,0,0.0615
0.0658,0,0.1475
0.0571,0,0.0533
0.0699,0,0.2003
0.0571,0,0.0533
0.0718,0,0.2258
0.0462,0,4e-4
0.0542,0,0.0314
0.0639,0,0.125
0.0503,0,0.0103
0.0542,0,0.0314
0.0772,0,0.3039
0.0763,0,0.2893
0.0725,0,0.2351
0.0571,0,0.0533
0.0462,0,3e-4
0.074,0,0.2566
0.0718,0,0.2258
0.0577,0,0.0591
0.0542,0,0.0314
0.0575,0,0.0569
0.0477,0,0.0025
0.0609,0,0.0904
0.0661,0,0.1516
0.0496,0,0.0074
0.053900000000000003,0,0.0293
0.0577,0,0.0591
0.0459,0,1e-4
0.0531,0,0.0244
0.0496,0,0.0077
0.0548,0,0.0355
0.0778,0,0.3117
0.0579,0,0.0615
0.0537,0,0.0283
0.0639,0,0.125
0.0519,0,0.0181
0.0689,0,0.1875
0.0609,0,0.0904
0.0552,0,0.0389
0.0718,0,0.2258
0.0602,0,0.0838
0.0587,0,0.068
0.0505,0,0.0115
0.0658,0,0.1475
0.0598,0,0.0792
0.0635,0,0.1206
0.0617,0,0.0997
0.0614,0,0.0959
0.0635,0,0.1206
0.0482,0,0.0036
0.0547,0,0.0351
0.0547,0,0.0351
0.0778,0,0.3117
0.0496,0,0.0074
0.0658,0,0.1475
0.0723,0,0.2335
0.0763,0,0.2893
0.0776,0,0.309
0.0772,0,0.3039
0.0587,0,0.068
0.0543,0,0.0322
0.0462,0,4e-4
0.0528,0,0.0224
0.0477,0,0.0025
0.0487,0,0.0048
0.0763,0,0.2893
0.0684,0,0.1818
0.0619,0,0.1014
0.0579,0,0.0615
0.0462,0,4e-4
0.0763,0,0.2893
0.0596,0,0.0768
0.0552,0,0.0389
0.0762,0,0.2877
0.0587,0,0.0681
0.0478,0,0.0027
0.0668,0,0.1608
0.0595,0,0.0757
0.0542,0,0.0314
0.0572,0,0.0549
0.0602,0,0.083
0.0662,0,0.1527
0.0727,0,0.2383
0.0482,0,0.0036
0.0525,0,0.0209
0.0574,0,0.0567
0.0517,0,0.0169
0.0614,0,0.0959
0.0542,0,0.0314
0.0524,0,0.0205
0.0596,0,0.0768
0.0666,0,0.1577
0.0459,0,1e-4
0.0499,0,0.009
0.0689,0,0.1875
0.0548,0,0.0355
0.0531,0,0.0244
0.0462,0,3e-4
0.0661,0,0.1516
0.0482,0,0.0036
0.0575,0,0.0569
0.0658,0,0.1475
0.0602,0,0.083
0.0572,0,0.0549
0.0571,0,0.0533
0.0661,0,0.1516
0.0746,0,0.2649
0.0776,0,0.309
0.0578,0,0.0598
0.0531,0,0.0244
0.0572,0,0.0549
0.0614,0,0.0959
0.0776,0,0.309
0.0792,0,0.3322
0.0572,0,0.0549
0.0579,0,0.0615
0.0487,0,0.0048
0.0602,0,0.0838
0.0587,0,0.0681
0.0542,0,0.0314
0.074,0,0.2566
0.0548,0,0.0355
0.0579,0,0.0615
0.0575,0,0.0569
0.0718,0,0.2258
0.074,0,0.2566
0.0639,0,0.125
0.0537,0,0.0283
0.0778,0,0.3117
0.0575,0,0.0569
0.0549,0,0.0364
0.0574,0,0.0567
0.0547,0,0.0351
0.0792,0,0.3322
0.0778,0,0.3117
0.0574,0,0.0567
0.0634,0,0.1187
0.0598,0,0.0791
0.07,0,0.2023
0.0763,0,0.2893
0.0503,0,0.0103
0.0462,0,4e-4
0.0635,0,0.1206
0.0614,0,0.0959
0.0762,0,0.2877
0.0459,0,1e-4
0.0505,0,0.0115
0.0595,0,0.0758
0.0496,0,0.0077
0.0587,0,0.068
0.0496,0,0.0075
0.07,0,0.2023
0.0632,0,0.1168
0.0723,0,0.2335
0.0464,0,4e-4
0.0595,0,0.0757
0.0531,0,0.0244
0.0535,0,0.0267
0.0579,0,0.0615
0.074,0,0.2566
0.07,0,0.2023
0.0577,0,0.0591
0.0498,0,0.0084
0.0873,0,0.4571
0.0487,0,0.0048
0.0505,0,0.0115
0.0718,0,0.2258
0.0535,0,0.0267
0.0488,0,0.0053
0.047,0,0.0015
0.0528,0,0.0224
0.0465,0,8e-4
0.0535,0,0.0272
0.0511,0,0.0142
0.0645,0,0.132
0.0699,0,0.2003
0.0579,0,0.0615
0.0465,0,8e-4
0.0511,0,0.0142
0.081,0,0.3599
0.0658,0,0.1475
0.053900000000000003,0,0.0293
0.0723,0,0.2335
0.0639,0,0.125
0.0595,0,0.0757
0.053900000000000003,0,0.0293
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