'Transform code of two loops ("For") with lapply or sapply

I am learning how to code in R and I have written a piece of code that calculate the Net Present Value (NPV) of various assets at different points in time, given a data frame. For this, I am using two "for" loops and I find it very slow.

The first loop get the asset for which I need to calculate the NPV. The second loop get the Date from which the NPV will be calculated with the sub-function "npv_date"

I was wondering if I can get some assistance to convert it to use either the sapply or lapply or another function. Here is my working R code:

#Create the column NPV in the data frame 
Ejemplo <-  as.data.frame(Ejemplo %>% mutate(npv = -1))

for(j in unique(Ejemplo$Key)){
  #Create subset per Asset by the Key
  SubTable <- subset(Ejemplo, Ejemplo$Key==j)
  for (i in unique(SubTable$KeyDate)){
    #cal the function that calculate the NPV per date
    Ejemplo <- npv_date(Tabla=Ejemplo, key=j, keyDate=i)
  }
  
}

#function that calculate the npv per asset and date
npv_date <- function(Tabla, key, keyDate){
  #create a subset only with the asset selected 
  subTable <- subset(Tabla, Tabla$Key==key)
  #ger the flow that we need to calculate the NPV
  flow <- unique(subTable [match(keyDate,subTable$KeyDate):length(subTable$Key), "Flow"]
  #get the rate for the date on which we are going to calculate the NPV
  #Question: i am using only one Rate, the rate corresponding to the month 
  #of calculation, but a vector of rates can be used
  irr <- (subTable %>% filter(KeyDate == keyDate))$Rate
  #calculate the NPV calling the sub-function dcf
  npv <- sum(dcf(x=flow, r=irr))
  #Assign the value to the corresponding row
  Tabla[["npv"]][(Tabla[["KeyDate"]]==keyDate)&(Tabla[["Key"]]==key)] <- npv 
  
  return(Tabla)
}

dcf <- function(x, r, t0=FALSE){
  # calculates discounted cash flows (DCF) given cash flow and discount rate
  # x - cash flows vector
  # r - vector or numeric value of discount rate(s), in decimals. Single values will be recycled
  # t0 - cash flow starts in year 0, default is FALSE, i.e. discount rate in first period is zero. Will be ignored if r is a vector
  if(length(r)==1){
    r <- rep(r, length(x))
    if(t0==TRUE){r[1]<-0}
  }
  x/cumprod(1+r)
}

I attach an example with twoo asset, where you can find the Date, Flow (Cah flow generated by the Asset A and B), Key (ID Asset), KeyDate (ID Asset + Date), Rate (cash flow discount rate to calculate NPV) columns and the npv column with the result of the Net Present Value executing the code with the two for

Ejemplo <- structure(list(Date = structure(c(24136, 24165, 24196, 24226, 
24257, 24287, 24318, 24349, 24379, 24410, 24440, 24471, 24136, 
24165, 24196, 24226, 24257, 24287, 24318, 24349, 24379, 24410, 
24440, 24471, 24502, 24530, 24561, 24591, 24622, 24652, 24683, 
24714, 24744, 24775, 24805, 24836, 24867, 24895, 24926, 24956, 
24987, 25017, 25048, 25079, 25109, 25140, 25170, 25201, 25232, 
25260, 25291, 25321, 25352, 25382, 25413, 25444, 25474, 25505, 
25535, 25566, 25597, 25626, 25657, 25687, 25718, 25748, 25779, 
25810, 25840, 25871, 25901, 25932, 25963, 25991, 26022, 26052, 
26083, 26113, 26144, 26175, 26205, 26236, 26266, 26297, 26328, 
26356, 26387, 26417, 26448, 26478, 26509, 26540, 26570, 26601, 
26631, 26662, 26693, 26721, 26752, 26782, 26813, 26843, 26874, 
26905, 26935, 26966, 26996, 27027, 27058, 27087, 27118, 27148, 
27179, 27209, 27240, 27271, 27301, 27332, 27362, 27393, 27424, 
27452, 27483, 27513, 27544, 27574, 27605, 27636, 27666, 27697, 
27727, 27758, 27789, 27817, 27848, 27878, 27909, 27939, 27970, 
28001, 28031, 28062, 28092, 28123, 28154, 28182, 28213, 28243, 
28274, 28304, 28335, 28366, 28396, 28427, 28457, 28488, 28519, 
28548, 28579, 28609, 28640, 28670, 28701, 28732, 28762, 28793, 
28823, 28854, 28885, 28913, 28944, 28974, 29005, 29035, 29066, 
29097, 29127, 29158, 29188, 29219, 29250, 29278, 29309, 29339, 
29370, 29400, 29431, 29462, 29492, 29523, 29553, 29584, 29615
), class = "Date"), Flow = c(626.61225, 626.61225, 626.61225, 
626.61225, 626.61225, 626.61225, 626.61225, 626.61225, 626.61225, 
626.61225, 626.61225, 147514.77225, 1172.37036865556, 1096.73357067778, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1096.73357067778, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1096.73357067778, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1096.73357067778, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 1172.37036865556, 1058.91517168889, 
1172.37036865556, 1134.55196966667, 1172.37036865556, 1134.55196966667, 
1172.37036865556, 1172.37036865556, 1134.55196966667, 1172.37036865556, 
1134.55196966667, 1172.37036865556, 618216.771575733), Key = c("200015B", 
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"200015B", "200015B", "200015B", "200015B", "200015B", "200015A", 
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"200015A", "200015A", "200015A", "200015A", "200015A", "200015A", 
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), KeyDate = c("200015B2036-01-31", "200015B2036-02-29", "200015B2036-03-31", 
"200015B2036-04-30", "200015B2036-05-31", "200015B2036-06-30", 
"200015B2036-07-31", "200015B2036-08-31", "200015B2036-09-30", 
"200015B2036-10-31", "200015B2036-11-30", "200015B2036-12-31", 
"200015A2036-01-31", "200015A2036-02-29", "200015A2036-03-31", 
"200015A2036-04-30", "200015A2036-05-31", "200015A2036-06-30", 
"200015A2036-07-31", "200015A2036-08-31", "200015A2036-09-30", 
"200015A2036-10-31", "200015A2036-11-30", "200015A2036-12-31", 
"200015A2037-01-31", "200015A2037-02-28", "200015A2037-03-31", 
"200015A2037-04-30", "200015A2037-05-31", "200015A2037-06-30", 
"200015A2037-07-31", "200015A2037-08-31", "200015A2037-09-30", 
"200015A2037-10-31", "200015A2037-11-30", "200015A2037-12-31", 
"200015A2038-01-31", "200015A2038-02-28", "200015A2038-03-31", 
"200015A2038-04-30", "200015A2038-05-31", "200015A2038-06-30", 
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"200015A2039-07-31", "200015A2039-08-31", "200015A2039-09-30", 
"200015A2039-10-31", "200015A2039-11-30", "200015A2039-12-31", 
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"200015A2050-10-31", "200015A2050-11-30", "200015A2050-12-31", 
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0.00183862716675229, 0.00189991473897737, 0.00183862716675229, 
0.00189991473897737, 0.00147090173340183), npv = c(151794.327418487, 
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781012L), class = "data.frame")

Here you have a web with an explanation about the Net present value:



Solution 1:[1]

This is still complicated. So far, I think this is the way it is supposed to be

df_Ejemplo %>% 
   group_by(Key) %>% 
   mutate(
     npv = sum(dcf(x=Flow, Rate))
   ) ->
df_Ejemplo
> all.equal(df_Ejemplo$npv, Ejemplo$npv)
[1] "Mean relative difference: 0.003511715"

But it disagrees with the result.

Sources

This article follows the attribution requirements of Stack Overflow and is licensed under CC BY-SA 3.0.

Source: Stack Overflow

Solution Source
Solution 1 Mossa