Present value of a series of payoffs for a single given cohort, entering at given future time, allowing for dynamic pricing. This function is a wrapper for dynpv().

futurepv(l, payoffs, prices, discrate)

Arguments

l

Vector of times at which present value is to be evaluated

payoffs

Vector of payoffs of interest (numeric vector)

prices

Vector of price indices through the time horizon of interest

discrate

Discount rate per timestep, corresponding to price index

Value

Discounted present value

See also

Examples

# Obtain dataset
democe <- get_dynfields(
   heemodel = oncpsm,
   payoffs = c("cost_daq_new", "cost_total", "qaly"),
   discount = "disc"
   )

# Obtain discount rate
discrate <- get_param_value(oncpsm, "disc")

# Obtain payoff vector of interest
payoffs <- democe |>
   dplyr::filter(int=="new") |>
   dplyr::mutate(cost_oth = cost_total - cost_daq_new)
Nt <- nrow(payoffs)

# Run calculation for timesteps 1:10
futurepv(
  l = 52*(1:10),
  payoffs = payoffs$cost_oth,
  prices = 1.001^(1:(2*Nt)-1), # Approx 5.3% every 52 steps
  discrate = 0.001 + discrate
)
#> $inputs
#> $inputs$uptakes
#> [1] 1
#> 
#> $inputs$payoffs
#>    [1] 354.822832 354.341872 353.732717 352.916120 351.856726 350.550658
#>    [7] 349.010924 347.258366 345.316632 343.209519 340.959635 338.587788
#>   [13] 336.112773 333.551371 330.918452 328.227125 325.488915 322.713925
#>   [19] 319.911004 317.087889 314.251343 311.407269 308.560817 305.716478
#>   [25] 302.878161 300.049265 297.232743 294.431154 291.646711 288.881322
#>   [31] 286.136626 283.414025 280.714715 278.039705 275.389843 272.765831
#>   [37] 270.168246 267.597552 265.054115 262.538211 260.050040 257.589735
#>   [43] 255.157365 252.752948 250.376456 248.027818 245.706927 243.413644
#>   [49] 241.147803 238.909212 236.697660 234.512917 232.354735 230.222856
#>   [55] 228.117008 226.036909 223.982271 221.952797 219.948185 217.968130
#>   [61] 216.012322 214.080450 212.172201 210.287259 208.425311 206.586043
#>   [67] 204.769141 202.974293 201.201189 199.449520 197.718981 196.009267
#>   [73] 194.320078 192.651117 191.002088 189.372700 187.762666 186.171701
#>   [79] 184.599524 183.045860 181.510434 179.992977 178.493224 177.010914
#>   [85] 175.545787 174.097592 172.666077 171.250997 169.852110 168.469177
#>   [91] 167.101964 165.750239 164.413776 163.092353 161.785748 160.493746
#>   [97] 159.216135 157.952707 156.703255 155.467577 154.245476 153.036757
#>  [103] 151.841227 150.658698 149.488984 148.331905 147.187279 146.054932
#>  [109] 144.934691 143.826385 142.729847 141.644913 140.571421 139.509213
#>  [115] 138.458133 137.418026 136.388743 135.370134 134.362055 133.364362
#>  [121] 132.376913 131.399571 130.432199 129.474664 128.526833 127.588577
#>  [127] 126.659768 125.740283 124.829996 123.928788 123.036540 122.153133
#>  [133] 121.278453 120.412386 119.554821 118.705649 117.864760 117.032050
#>  [139] 116.207414 115.390748 114.581953 113.780927 112.987575 112.201798
#>  [145] 111.423502 110.652594 109.888982 109.132576 108.383287 107.641026
#>  [151] 106.905708 106.177248 105.455562 104.740568 104.032185 103.330333
#>  [157] 102.634933 101.945909 101.263183 100.586681  99.916329  99.252054
#>  [163]  98.593784  97.941449  97.294979  96.654305  96.019361  95.390078
#>  [169]  94.766393  94.148239  93.535554  92.928275  92.326339  91.729687
#>  [175]  91.138257  90.551991  89.970830  89.394716  88.823594  88.257407
#>  [181]  87.696100  87.139618  86.587909  86.040919  85.498596  84.960888
#>  [187]  84.427746  83.899119  83.374958  82.855214  82.339840  81.828787
#>  [193]  81.322011  80.819463  80.321100  79.826876  79.336748  78.850671
#>  [199]  78.368603  77.890501  77.416323  76.946029  76.479577  76.016927
#>  [205]  75.558040  75.102876  74.651396  74.203563  73.759339  73.318687
#>  [211]  72.881569  72.447951  72.017795  71.591067  71.167732  70.747755
#>  [217]  70.331103  69.917741  69.507638  69.100759  68.697074  68.296549
#>  [223]  67.899153  67.504856  67.113626  66.725434  66.340249  65.958041
#>  [229]  65.578782  65.202442  64.828993  64.458407  64.090656  63.725712
#>  [235]  63.363549  63.004139  62.647456  62.293473  61.942166  61.593507
#>  [241]  61.247472  60.904036  60.563174  60.224862  59.889076  59.555791
#>  [247]  59.224984  58.896633  58.570713  58.247203  57.926079  57.607319
#>  [253]  57.290902  56.976806  56.665008  56.355489  56.048227  55.743201
#>  [259]  55.440391  55.139776  54.841337  54.545053  54.250905  53.958873
#>  [265]  53.668939  53.381083  53.095287  52.811532  52.529800  52.250072
#>  [271]  51.972331  51.696558  51.422737  51.150850  50.880880  50.612810
#>  [277]  50.346622  50.082301  49.819830  49.559193  49.300373  49.043355
#>  [283]  48.788123  48.534661  48.282954  48.032986  47.784744  47.538211
#>  [289]  47.293372  47.050214  46.808722  46.568881  46.330678  46.094098
#>  [295]  45.859127  45.625752  45.393959  45.163735  44.935066  44.707939
#>  [301]  44.482342  44.258260  44.035683  43.814595  43.594987  43.376844
#>  [307]  43.160155  42.944907  42.731090  42.518689  42.307695  42.098095
#>  [313]  41.889877  41.683031  41.477545  41.273407  41.070608  40.869135
#>  [319]  40.668977  40.470125  40.272568  40.076294  39.881294  39.687557
#>  [325]  39.495073  39.303831  39.113823  38.925037  38.737464  38.551094
#>  [331]  38.365918  38.181925  37.999107  37.817455  37.636958  37.457608
#>  [337]  37.279395  37.102311  36.926346  36.751492  36.577740  36.405081
#>  [343]  36.233507  36.063009  35.893579  35.725208  35.557888  35.391610
#>  [349]  35.226368  35.062152  34.898955  34.736769  34.575585  34.415397
#>  [355]  34.256196  34.097975  33.940727  33.784443  33.629117  33.474741
#>  [361]  33.321307  33.168810  33.017241  32.866593  32.716860  32.568034
#>  [367]  32.420109  32.273077  32.126933  31.981669  31.837279  31.693755
#>  [373]  31.551093  31.409284  31.268324  31.128204  30.988920  30.850465
#>  [379]  30.712832  30.576017  30.440011  30.304810  30.170408  30.036798
#>  [385]  29.903976  29.771934  29.640667  29.510170  29.380437  29.251462
#>  [391]  29.123240  28.995766  28.869033  28.743036  28.617771  28.493231
#>  [397]  28.369412  28.246308  28.123914  28.002225  27.881236  27.760942
#>  [403]  27.641337  27.522417  27.404178  27.286613  27.169719  27.053490
#>  [409]  26.937921  26.823009  26.708748  26.595134  26.482162  26.369827
#>  [415]  26.258125  26.147052  26.036604  25.926774  25.817561  25.708958
#>  [421]  25.600962  25.493569  25.386773  25.280572  25.174961  25.069936
#>  [427]  24.965493  24.861627  24.758335  24.655612  24.553456  24.451861
#>  [433]  24.350825  24.250342  24.150410  24.051024  23.952182  23.853878
#>  [439]  23.756110  23.658873  23.562164  23.465980  23.370317  23.275171
#>  [445]  23.180539  23.086418  22.992803  22.899692  22.807081  22.714966
#>  [451]  22.623345  22.532214  22.441570  22.351409  22.261728  22.172524
#>  [457]  22.083795  21.995535  21.907744  21.820416  21.733550  21.647142
#>  [463]  21.561190  21.475689  21.390638  21.306033  21.221871  21.138149
#>  [469]  21.054865  20.972016  20.889598  20.807609  20.726046  20.644907
#>  [475]  20.564187  20.483886  20.404000  20.324526  20.245462  20.166804
#>  [481]  20.088551  20.010700  19.933248  19.856193  19.779531  19.703261
#>  [487]  19.627380  19.551885  19.476775  19.402046  19.327696  19.253722
#>  [493]  19.180123  19.106895  19.034037  18.961547  18.889421  18.817657
#>  [499]  18.746254  18.675208  18.604518  18.534182  18.464196  18.394560
#>  [505]  18.325270  18.256325  18.187723  18.119460  18.051536  17.983948
#>  [511]  17.916693  17.849771  17.783178  17.716913  17.650974  17.585358
#>  [517]  17.520064  17.455090  17.390433  17.326092  17.262065  17.198349
#>  [523]  17.134944  17.071847  17.009055  16.946568  16.884384  16.822499
#>  [529]  16.760914  16.699626  16.638632  16.577932  16.517523  16.457404
#>  [535]  16.397573  16.338028  16.278768  16.219791  16.161094  16.102677
#>  [541]  16.044538  15.986675  15.929086  15.871769  15.814724  15.757949
#>  [547]  15.701441  15.645199  15.589222  15.533509  15.478056  15.422864
#>  [553]  15.367930  15.313253  15.258832  15.204664  15.150749  15.097084
#>  [559]  15.043669  14.990502  14.937582  14.884906  14.832475  14.780285
#>  [565]  14.728336  14.676626  14.625155  14.573920  14.522920  14.472154
#>  [571]  14.421620  14.371318  14.321246  14.271401  14.221784  14.172393
#>  [577]  14.123227  14.074283  14.025562  13.977061  13.928780  13.880717
#>  [583]  13.832871  13.785240  13.737824  13.690621  13.643630  13.596850
#>  [589]  13.550280  13.503918  13.457763  13.411814  13.366070  13.320530
#>  [595]  13.275193  13.230057  13.185121  13.140384  13.095846  13.051504
#>  [601]  13.007358  12.963407  12.919650  12.876086  12.832712  12.789530
#>  [607]  12.746536  12.703731  12.661114  12.618682  12.576436  12.534374
#>  [613]  12.492495  12.450799  12.409283  12.367948  12.326792  12.285814
#>  [619]  12.245013  12.204389  12.163940  12.123665  12.083563  12.043634
#>  [625]  12.003877  11.964290  11.924873  11.885624  11.846543  11.807630
#>  [631]  11.768882  11.730299  11.691880  11.653625  11.615532  11.577601
#>  [637]  11.539830  11.502219  11.464768  11.427474  11.390338  11.353358
#>  [643]  11.316533  11.279864  11.243348  11.206986  11.170776  11.134717
#>  [649]  11.098809  11.063051  11.027443  10.991982  10.956669  10.921503
#>  [655]  10.886483  10.851608  10.816877  10.782291  10.747847  10.713545
#>  [661]  10.679385  10.645366  10.611487  10.577747  10.544145  10.510682
#>  [667]  10.477355  10.444165  10.411111  10.378191  10.345406  10.312754
#>  [673]  10.280236  10.247849  10.215595  10.183471  10.151477  10.119613
#>  [679]  10.087877  10.056270  10.024791   9.993438   9.962212   9.931111
#>  [685]   9.900135   9.869284   9.838556   9.807951   9.777469   9.747109
#>  [691]   9.716870   9.686751   9.656753   9.626874   9.597114   9.567472
#>  [697]   9.537947   9.508540   9.479249   9.450074   9.421014   9.392069
#>  [703]   9.363238   9.334521   9.305916   9.277425   9.249044   9.220776
#>  [709]   9.192618   9.164570   9.136632   9.108803   9.081083   9.053471
#>  [715]   9.025966   8.998568   8.971277   8.944092   8.917012   8.890037
#>  [721]   8.863167   8.836400   8.809737   8.783177   8.756719   8.730363
#>  [727]   8.704108   8.677954   8.651901   8.625948   8.600094   8.574339
#>  [733]   8.548683   8.523124   8.497663   8.472300   8.447032   8.421861
#>  [739]   8.396786   8.371806   8.346921   8.322129   8.297432   8.272829
#>  [745]   8.248318   8.223900   8.199574   8.175339   8.151196   8.127143
#>  [751]   8.103181   8.079309   8.055526   8.031833   8.008228   7.984711
#>  [757]   7.961282   7.937941   7.914687   7.891519   7.868437   7.845441
#>  [763]   7.822531   7.799706   7.776965   7.754308   7.731735   7.709246
#>  [769]   7.686840   7.664516   7.642275   7.620115   7.598037   7.576040
#>  [775]   7.554124   7.532288   7.510533   7.488857   7.467260   7.445742
#>  [781]   7.424303   7.402941   7.381658   7.360452   7.339324   7.318272
#>  [787]   7.297296   7.276397   7.255573   7.234825   7.214151   7.193553
#>  [793]   7.173029   7.152579   7.132202   7.111899   7.091669   7.071512
#>  [799]   7.051427   7.031414   7.011472   6.991603   6.971804   6.952076
#>  [805]   6.932418   6.912831   6.893313   6.873865   6.854486   6.835177
#>  [811]   6.815935   6.796762   6.777657   6.758619   6.739649   6.720746
#>  [817]   6.701910   6.683140   6.664437   6.645799   6.627227   6.608720
#>  [823]   6.590279   6.571902   6.553589   6.535341   6.517156   6.499036
#>  [829]   6.480978   6.462984   6.445052   6.427183   6.409376   6.391631
#>  [835]   6.373948   6.356327   6.338766   6.321266   6.303827   6.286449
#>  [841]   6.269130   6.251872   6.234673   6.217533   6.200452   6.183431
#>  [847]   6.166467   6.149563   6.132716   6.115927   6.099196   6.082522
#>  [853]   6.065905   6.049345   6.032841   6.016394   6.000003   5.983668
#>  [859]   5.967389   5.951165   5.934996   5.918882   5.902823   5.886818
#>  [865]   5.870868   5.854971   5.839129   5.823340   5.807604   5.791922
#>  [871]   5.776292   5.760715   5.745191   5.729718   5.714298   5.698930
#>  [877]   5.683613   5.668347   5.653133   5.637970   5.622857   5.607795
#>  [883]   5.592783   5.577821   5.562909   5.548047   5.533235   5.518471
#>  [889]   5.503757   5.489092   5.474475   5.459906   5.445386   5.430915
#>  [895]   5.416490   5.402114   5.387785   5.373504   5.359269   5.345082
#>  [901]   5.330941   5.316846   5.302798   5.288796   5.274840   5.260930
#>  [907]   5.247066   5.233247   5.219473   5.205744   5.192060   5.178420
#>  [913]   5.164825   5.151275   5.137768   5.124306   5.110887   5.097512
#>  [919]   5.084180   5.070891   5.057646   5.044444   5.031284   5.018167
#>  [925]   5.005092   4.992059   4.979069   4.966120   4.953213   4.940348
#>  [931]   4.927524   4.914741   4.901999   4.889298   4.876638   4.864019
#>  [937]   4.851440   4.838901   4.826402   4.813943   4.801524   4.789145
#>  [943]   4.776805   4.764504   4.752243   4.740020   4.727837   4.715692
#>  [949]   4.703586   4.691518   4.679488   4.667496   4.655543   4.643627
#>  [955]   4.631748   4.619908   4.608104   4.596338   4.584609   4.572917
#>  [961]   4.561262   4.549643   4.538061   4.526515   4.515005   4.503532
#>  [967]   4.492094   4.480692   4.469326   4.457996   4.446700   4.435441
#>  [973]   4.424216   4.413026   4.401871   4.390751   4.379665   4.368614
#>  [979]   4.357597   4.346614   4.335665   4.324751   4.313870   4.303022
#>  [985]   4.292209   4.281428   4.270681   4.259967   4.249287   4.238639
#>  [991]   4.228024   4.217441   4.206891   4.196374   4.185889   4.175436
#>  [997]   4.165015   4.154626   4.144269   4.133943   4.123649   4.113387
#> [1003]   4.103156   4.092956   4.082787   4.072649   4.062543   4.052466
#> [1009]   4.042421   4.032406   4.022421   4.012467   4.002543   3.992649
#> [1015]   3.982785   3.972951   3.963147   3.953372   3.943627   3.933911
#> [1021]   3.924225   3.914567   3.904939   3.895340   3.885770   3.876228
#> [1027]   3.866715   3.857231   3.847775   3.838348   3.828948   3.819577
#> [1033]   3.810234   3.800919   3.791632   3.782372   3.773141   3.763936
#> [1039]   3.754759   3.745610   3.736488   3.727392   3.718324   3.709283
#> 
#> $inputs$horizon
#> [1] 1044
#> 
#> $inputs$tzero
#>  [1]  51 103 155 207 259 311 363 415 467 519
#> 
#> $inputs$prices
#>    [1] 1.000000 1.001000 1.002001 1.003003 1.004006 1.005010 1.006015 1.007021
#>    [9] 1.008028 1.009036 1.010045 1.011055 1.012066 1.013078 1.014091 1.015105
#>   [17] 1.016121 1.017137 1.018154 1.019172 1.020191 1.021211 1.022233 1.023255
#>   [25] 1.024278 1.025302 1.026328 1.027354 1.028381 1.029410 1.030439 1.031470
#>   [33] 1.032501 1.033533 1.034567 1.035602 1.036637 1.037674 1.038712 1.039750
#>   [41] 1.040790 1.041831 1.042873 1.043915 1.044959 1.046004 1.047050 1.048097
#>   [49] 1.049145 1.050195 1.051245 1.052296 1.053348 1.054402 1.055456 1.056512
#>   [57] 1.057568 1.058626 1.059684 1.060744 1.061805 1.062867 1.063929 1.064993
#>   [65] 1.066058 1.067124 1.068191 1.069260 1.070329 1.071399 1.072471 1.073543
#>   [73] 1.074617 1.075691 1.076767 1.077844 1.078922 1.080001 1.081081 1.082162
#>   [81] 1.083244 1.084327 1.085411 1.086497 1.087583 1.088671 1.089759 1.090849
#>   [89] 1.091940 1.093032 1.094125 1.095219 1.096314 1.097411 1.098508 1.099607
#>   [97] 1.100706 1.101807 1.102909 1.104012 1.105116 1.106221 1.107327 1.108434
#>  [105] 1.109543 1.110652 1.111763 1.112875 1.113988 1.115102 1.116217 1.117333
#>  [113] 1.118450 1.119569 1.120688 1.121809 1.122931 1.124054 1.125178 1.126303
#>  [121] 1.127429 1.128557 1.129685 1.130815 1.131946 1.133078 1.134211 1.135345
#>  [129] 1.136480 1.137617 1.138754 1.139893 1.141033 1.142174 1.143316 1.144460
#>  [137] 1.145604 1.146750 1.147896 1.149044 1.150193 1.151344 1.152495 1.153647
#>  [145] 1.154801 1.155956 1.157112 1.158269 1.159427 1.160587 1.161747 1.162909
#>  [153] 1.164072 1.165236 1.166401 1.167568 1.168735 1.169904 1.171074 1.172245
#>  [161] 1.173417 1.174590 1.175765 1.176941 1.178118 1.179296 1.180475 1.181656
#>  [169] 1.182837 1.184020 1.185204 1.186389 1.187576 1.188763 1.189952 1.191142
#>  [177] 1.192333 1.193526 1.194719 1.195914 1.197110 1.198307 1.199505 1.200705
#>  [185] 1.201905 1.203107 1.204310 1.205515 1.206720 1.207927 1.209135 1.210344
#>  [193] 1.211554 1.212766 1.213979 1.215193 1.216408 1.217624 1.218842 1.220061
#>  [201] 1.221281 1.222502 1.223724 1.224948 1.226173 1.227399 1.228627 1.229855
#>  [209] 1.231085 1.232316 1.233549 1.234782 1.236017 1.237253 1.238490 1.239729
#>  [217] 1.240968 1.242209 1.243452 1.244695 1.245940 1.247186 1.248433 1.249681
#>  [225] 1.250931 1.252182 1.253434 1.254688 1.255942 1.257198 1.258455 1.259714
#>  [233] 1.260974 1.262235 1.263497 1.264760 1.266025 1.267291 1.268558 1.269827
#>  [241] 1.271097 1.272368 1.273640 1.274914 1.276189 1.277465 1.278742 1.280021
#>  [249] 1.281301 1.282582 1.283865 1.285149 1.286434 1.287720 1.289008 1.290297
#>  [257] 1.291588 1.292879 1.294172 1.295466 1.296762 1.298058 1.299356 1.300656
#>  [265] 1.301956 1.303258 1.304562 1.305866 1.307172 1.308479 1.309788 1.311098
#>  [273] 1.312409 1.313721 1.315035 1.316350 1.317666 1.318984 1.320303 1.321623
#>  [281] 1.322945 1.324268 1.325592 1.326918 1.328244 1.329573 1.330902 1.332233
#>  [289] 1.333565 1.334899 1.336234 1.337570 1.338908 1.340247 1.341587 1.342928
#>  [297] 1.344271 1.345616 1.346961 1.348308 1.349656 1.351006 1.352357 1.353709
#>  [305] 1.355063 1.356418 1.357775 1.359132 1.360492 1.361852 1.363214 1.364577
#>  [313] 1.365942 1.367308 1.368675 1.370044 1.371414 1.372785 1.374158 1.375532
#>  [321] 1.376908 1.378284 1.379663 1.381042 1.382423 1.383806 1.385190 1.386575
#>  [329] 1.387961 1.389349 1.390739 1.392130 1.393522 1.394915 1.396310 1.397706
#>  [337] 1.399104 1.400503 1.401904 1.403306 1.404709 1.406114 1.407520 1.408927
#>  [345] 1.410336 1.411747 1.413158 1.414571 1.415986 1.417402 1.418819 1.420238
#>  [353] 1.421658 1.423080 1.424503 1.425928 1.427354 1.428781 1.430210 1.431640
#>  [361] 1.433072 1.434505 1.435939 1.437375 1.438813 1.440251 1.441692 1.443133
#>  [369] 1.444576 1.446021 1.447467 1.448914 1.450363 1.451814 1.453266 1.454719
#>  [377] 1.456174 1.457630 1.459087 1.460546 1.462007 1.463469 1.464932 1.466397
#>  [385] 1.467864 1.469332 1.470801 1.472272 1.473744 1.475218 1.476693 1.478170
#>  [393] 1.479648 1.481128 1.482609 1.484091 1.485575 1.487061 1.488548 1.490037
#>  [401] 1.491527 1.493018 1.494511 1.496006 1.497502 1.498999 1.500498 1.501999
#>  [409] 1.503501 1.505004 1.506509 1.508016 1.509524 1.511033 1.512544 1.514057
#>  [417] 1.515571 1.517086 1.518603 1.520122 1.521642 1.523164 1.524687 1.526212
#>  [425] 1.527738 1.529266 1.530795 1.532326 1.533858 1.535392 1.536927 1.538464
#>  [433] 1.540003 1.541543 1.543084 1.544627 1.546172 1.547718 1.549266 1.550815
#>  [441] 1.552366 1.553918 1.555472 1.557028 1.558585 1.560143 1.561703 1.563265
#>  [449] 1.564828 1.566393 1.567960 1.569528 1.571097 1.572668 1.574241 1.575815
#>  [457] 1.577391 1.578968 1.580547 1.582128 1.583710 1.585294 1.586879 1.588466
#>  [465] 1.590054 1.591644 1.593236 1.594829 1.596424 1.598020 1.599618 1.601218
#>  [473] 1.602819 1.604422 1.606027 1.607633 1.609240 1.610849 1.612460 1.614073
#>  [481] 1.615687 1.617303 1.618920 1.620539 1.622159 1.623781 1.625405 1.627031
#>  [489] 1.628658 1.630286 1.631917 1.633549 1.635182 1.636817 1.638454 1.640093
#>  [497] 1.641733 1.643374 1.645018 1.646663 1.648309 1.649958 1.651608 1.653259
#>  [505] 1.654913 1.656567 1.658224 1.659882 1.661542 1.663204 1.664867 1.666532
#>  [513] 1.668198 1.669866 1.671536 1.673208 1.674881 1.676556 1.678233 1.679911
#>  [521] 1.681591 1.683272 1.684956 1.686640 1.688327 1.690015 1.691705 1.693397
#>  [529] 1.695091 1.696786 1.698482 1.700181 1.701881 1.703583 1.705287 1.706992
#>  [537] 1.708699 1.710408 1.712118 1.713830 1.715544 1.717259 1.718977 1.720696
#>  [545] 1.722416 1.724139 1.725863 1.727589 1.729316 1.731046 1.732777 1.734510
#>  [553] 1.736244 1.737980 1.739718 1.741458 1.743199 1.744943 1.746688 1.748434
#>  [561] 1.750183 1.751933 1.753685 1.755439 1.757194 1.758951 1.760710 1.762471
#>  [569] 1.764233 1.765998 1.767764 1.769531 1.771301 1.773072 1.774845 1.776620
#>  [577] 1.778397 1.780175 1.781955 1.783737 1.785521 1.787306 1.789094 1.790883
#>  [585] 1.792674 1.794466 1.796261 1.798057 1.799855 1.801655 1.803457 1.805260
#>  [593] 1.807065 1.808872 1.810681 1.812492 1.814304 1.816119 1.817935 1.819753
#>  [601] 1.821573 1.823394 1.825218 1.827043 1.828870 1.830699 1.832529 1.834362
#>  [609] 1.836196 1.838032 1.839871 1.841710 1.843552 1.845396 1.847241 1.849088
#>  [617] 1.850937 1.852788 1.854641 1.856496 1.858352 1.860211 1.862071 1.863933
#>  [625] 1.865797 1.867663 1.869530 1.871400 1.873271 1.875144 1.877020 1.878897
#>  [633] 1.880776 1.882656 1.884539 1.886424 1.888310 1.890198 1.892088 1.893981
#>  [641] 1.895875 1.897770 1.899668 1.901568 1.903469 1.905373 1.907278 1.909186
#>  [649] 1.911095 1.913006 1.914919 1.916834 1.918751 1.920669 1.922590 1.924513
#>  [657] 1.926437 1.928364 1.930292 1.932222 1.934154 1.936089 1.938025 1.939963
#>  [665] 1.941903 1.943845 1.945788 1.947734 1.949682 1.951632 1.953583 1.955537
#>  [673] 1.957492 1.959450 1.961409 1.963371 1.965334 1.967299 1.969267 1.971236
#>  [681] 1.973207 1.975180 1.977156 1.979133 1.981112 1.983093 1.985076 1.987061
#>  [689] 1.989048 1.991037 1.993028 1.995021 1.997016 1.999013 2.001012 2.003013
#>  [697] 2.005016 2.007021 2.009028 2.011037 2.013048 2.015062 2.017077 2.019094
#>  [705] 2.021113 2.023134 2.025157 2.027182 2.029209 2.031239 2.033270 2.035303
#>  [713] 2.037338 2.039376 2.041415 2.043457 2.045500 2.047545 2.049593 2.051643
#>  [721] 2.053694 2.055748 2.057804 2.059861 2.061921 2.063983 2.066047 2.068113
#>  [729] 2.070181 2.072252 2.074324 2.076398 2.078475 2.080553 2.082634 2.084716
#>  [737] 2.086801 2.088888 2.090977 2.093068 2.095161 2.097256 2.099353 2.101452
#>  [745] 2.103554 2.105657 2.107763 2.109871 2.111981 2.114093 2.116207 2.118323
#>  [753] 2.120441 2.122562 2.124684 2.126809 2.128936 2.131065 2.133196 2.135329
#>  [761] 2.137464 2.139602 2.141741 2.143883 2.146027 2.148173 2.150321 2.152472
#>  [769] 2.154624 2.156779 2.158935 2.161094 2.163255 2.165419 2.167584 2.169752
#>  [777] 2.171921 2.174093 2.176268 2.178444 2.180622 2.182803 2.184986 2.187171
#>  [785] 2.189358 2.191547 2.193739 2.195932 2.198128 2.200327 2.202527 2.204729
#>  [793] 2.206934 2.209141 2.211350 2.213562 2.215775 2.217991 2.220209 2.222429
#>  [801] 2.224651 2.226876 2.229103 2.231332 2.233563 2.235797 2.238033 2.240271
#>  [809] 2.242511 2.244754 2.246998 2.249245 2.251495 2.253746 2.256000 2.258256
#>  [817] 2.260514 2.262775 2.265037 2.267302 2.269570 2.271839 2.274111 2.276385
#>  [825] 2.278662 2.280940 2.283221 2.285504 2.287790 2.290078 2.292368 2.294660
#>  [833] 2.296955 2.299252 2.301551 2.303853 2.306156 2.308463 2.310771 2.313082
#>  [841] 2.315395 2.317710 2.320028 2.322348 2.324670 2.326995 2.329322 2.331651
#>  [849] 2.333983 2.336317 2.338653 2.340992 2.343333 2.345676 2.348022 2.350370
#>  [857] 2.352720 2.355073 2.357428 2.359786 2.362145 2.364508 2.366872 2.369239
#>  [865] 2.371608 2.373980 2.376354 2.378730 2.381109 2.383490 2.385873 2.388259
#>  [873] 2.390648 2.393038 2.395431 2.397827 2.400225 2.402625 2.405027 2.407432
#>  [881] 2.409840 2.412250 2.414662 2.417077 2.419494 2.421913 2.424335 2.426759
#>  [889] 2.429186 2.431615 2.434047 2.436481 2.438918 2.441356 2.443798 2.446242
#>  [897] 2.448688 2.451137 2.453588 2.456041 2.458497 2.460956 2.463417 2.465880
#>  [905] 2.468346 2.470814 2.473285 2.475758 2.478234 2.480712 2.483193 2.485676
#>  [913] 2.488162 2.490650 2.493141 2.495634 2.498130 2.500628 2.503128 2.505632
#>  [921] 2.508137 2.510645 2.513156 2.515669 2.518185 2.520703 2.523224 2.525747
#>  [929] 2.528273 2.530801 2.533332 2.535865 2.538401 2.540939 2.543480 2.546024
#>  [937] 2.548570 2.551118 2.553669 2.556223 2.558779 2.561338 2.563899 2.566463
#>  [945] 2.569030 2.571599 2.574170 2.576745 2.579321 2.581901 2.584483 2.587067
#>  [953] 2.589654 2.592244 2.594836 2.597431 2.600028 2.602628 2.605231 2.607836
#>  [961] 2.610444 2.613054 2.615667 2.618283 2.620901 2.623522 2.626146 2.628772
#>  [969] 2.631401 2.634032 2.636666 2.639303 2.641942 2.644584 2.647229 2.649876
#>  [977] 2.652526 2.655178 2.657834 2.660491 2.663152 2.665815 2.668481 2.671149
#>  [985] 2.673820 2.676494 2.679171 2.681850 2.684532 2.687216 2.689904 2.692593
#>  [993] 2.695286 2.697981 2.700679 2.703380 2.706083 2.708789 2.711498 2.714210
#> [1001] 2.716924 2.719641 2.722360 2.725083 2.727808 2.730536 2.733266 2.736000
#> [1009] 2.738736 2.741474 2.744216 2.746960 2.749707 2.752457 2.755209 2.757964
#> [1017] 2.760722 2.763483 2.766246 2.769013 2.771782 2.774554 2.777328 2.780105
#> [1025] 2.782886 2.785668 2.788454 2.791243 2.794034 2.796828 2.799625 2.802424
#> [1033] 2.805227 2.808032 2.810840 2.813651 2.816464 2.819281 2.822100 2.824922
#> [1041] 2.827747 2.830575 2.833406 2.836239 2.839075 2.841914 2.844756 2.847601
#> [1049] 2.850448 2.853299 2.856152 2.859008 2.861867 2.864729 2.867594 2.870462
#> [1057] 2.873332 2.876205 2.879082 2.881961 2.884843 2.887727 2.890615 2.893506
#> [1065] 2.896399 2.899296 2.902195 2.905097 2.908002 2.910910 2.913821 2.916735
#> [1073] 2.919652 2.922571 2.925494 2.928420 2.931348 2.934279 2.937214 2.940151
#> [1081] 2.943091 2.946034 2.948980 2.951929 2.954881 2.957836 2.960794 2.963754
#> [1089] 2.966718 2.969685 2.972655 2.975627 2.978603 2.981581 2.984563 2.987548
#> [1097] 2.990535 2.993526 2.996519 2.999516 3.002515 3.005518 3.008523 3.011532
#> [1105] 3.014543 3.017558 3.020575 3.023596 3.026620 3.029646 3.032676 3.035709
#> [1113] 3.038744 3.041783 3.044825 3.047870 3.050918 3.053968 3.057022 3.060079
#> [1121] 3.063140 3.066203 3.069269 3.072338 3.075410 3.078486 3.081564 3.084646
#> [1129] 3.087731 3.090818 3.093909 3.097003 3.100100 3.103200 3.106303 3.109410
#> [1137] 3.112519 3.115632 3.118747 3.121866 3.124988 3.128113 3.131241 3.134372
#> [1145] 3.137507 3.140644 3.143785 3.146928 3.150075 3.153225 3.156379 3.159535
#> [1153] 3.162695 3.165857 3.169023 3.172192 3.175364 3.178540 3.181718 3.184900
#> [1161] 3.188085 3.191273 3.194464 3.197659 3.200856 3.204057 3.207261 3.210469
#> [1169] 3.213679 3.216893 3.220110 3.223330 3.226553 3.229780 3.233009 3.236242
#> [1177] 3.239479 3.242718 3.245961 3.249207 3.252456 3.255708 3.258964 3.262223
#> [1185] 3.265485 3.268751 3.272020 3.275292 3.278567 3.281845 3.285127 3.288412
#> [1193] 3.291701 3.294993 3.298288 3.301586 3.304887 3.308192 3.311500 3.314812
#> [1201] 3.318127 3.321445 3.324766 3.328091 3.331419 3.334751 3.338085 3.341423
#> [1209] 3.344765 3.348110 3.351458 3.354809 3.358164 3.361522 3.364884 3.368249
#> [1217] 3.371617 3.374988 3.378363 3.381742 3.385124 3.388509 3.391897 3.395289
#> [1225] 3.398684 3.402083 3.405485 3.408891 3.412300 3.415712 3.419128 3.422547
#> [1233] 3.425969 3.429395 3.432825 3.436257 3.439694 3.443133 3.446576 3.450023
#> [1241] 3.453473 3.456927 3.460383 3.463844 3.467308 3.470775 3.474246 3.477720
#> [1249] 3.481198 3.484679 3.488164 3.491652 3.495143 3.498639 3.502137 3.505639
#> [1257] 3.509145 3.512654 3.516167 3.519683 3.523203 3.526726 3.530253 3.533783
#> [1265] 3.537317 3.540854 3.544395 3.547939 3.551487 3.555039 3.558594 3.562152
#> [1273] 3.565714 3.569280 3.572849 3.576422 3.579999 3.583579 3.587162 3.590749
#> [1281] 3.594340 3.597934 3.601532 3.605134 3.608739 3.612348 3.615960 3.619576
#> [1289] 3.623196 3.626819 3.630446 3.634076 3.637710 3.641348 3.644989 3.648634
#> [1297] 3.652283 3.655935 3.659591 3.663251 3.666914 3.670581 3.674251 3.677926
#> [1305] 3.681604 3.685285 3.688971 3.692660 3.696352 3.700049 3.703749 3.707452
#> [1313] 3.711160 3.714871 3.718586 3.722304 3.726027 3.729753 3.733482 3.737216
#> [1321] 3.740953 3.744694 3.748439 3.752187 3.755939 3.759695 3.763455 3.767219
#> [1329] 3.770986 3.774757 3.778532 3.782310 3.786092 3.789878 3.793668 3.797462
#> [1337] 3.801259 3.805061 3.808866 3.812675 3.816487 3.820304 3.824124 3.827948
#> [1345] 3.831776 3.835608 3.839444 3.843283 3.847126 3.850973 3.854824 3.858679
#> [1353] 3.862538 3.866400 3.870267 3.874137 3.878011 3.881889 3.885771 3.889657
#> [1361] 3.893547 3.897440 3.901338 3.905239 3.909144 3.913053 3.916966 3.920883
#> [1369] 3.924804 3.928729 3.932658 3.936590 3.940527 3.944467 3.948412 3.952360
#> [1377] 3.956313 3.960269 3.964229 3.968194 3.972162 3.976134 3.980110 3.984090
#> [1385] 3.988074 3.992062 3.996054 4.000050 4.004050 4.008055 4.012063 4.016075
#> [1393] 4.020091 4.024111 4.028135 4.032163 4.036195 4.040231 4.044272 4.048316
#> [1401] 4.052364 4.056417 4.060473 4.064533 4.068598 4.072667 4.076739 4.080816
#> [1409] 4.084897 4.088982 4.093071 4.097164 4.101261 4.105362 4.109468 4.113577
#> [1417] 4.117691 4.121808 4.125930 4.130056 4.134186 4.138320 4.142459 4.146601
#> [1425] 4.150748 4.154898 4.159053 4.163212 4.167376 4.171543 4.175714 4.179890
#> [1433] 4.184070 4.188254 4.192442 4.196635 4.200831 4.205032 4.209237 4.213447
#> [1441] 4.217660 4.221878 4.226100 4.230326 4.234556 4.238791 4.243029 4.247272
#> [1449] 4.251520 4.255771 4.260027 4.264287 4.268551 4.272820 4.277093 4.281370
#> [1457] 4.285651 4.289937 4.294227 4.298521 4.302819 4.307122 4.311429 4.315741
#> [1465] 4.320057 4.324377 4.328701 4.333030 4.337363 4.341700 4.346042 4.350388
#> [1473] 4.354738 4.359093 4.363452 4.367815 4.372183 4.376555 4.380932 4.385313
#> [1481] 4.389698 4.394088 4.398482 4.402881 4.407283 4.411691 4.416102 4.420518
#> [1489] 4.424939 4.429364 4.433793 4.438227 4.442665 4.447108 4.451555 4.456007
#> [1497] 4.460463 4.464923 4.469388 4.473857 4.478331 4.482810 4.487292 4.491780
#> [1505] 4.496272 4.500768 4.505269 4.509774 4.514284 4.518798 4.523317 4.527840
#> [1513] 4.532368 4.536900 4.541437 4.545979 4.550525 4.555075 4.559630 4.564190
#> [1521] 4.568754 4.573323 4.577896 4.582474 4.587056 4.591643 4.596235 4.600831
#> [1529] 4.605432 4.610038 4.614648 4.619262 4.623882 4.628505 4.633134 4.637767
#> [1537] 4.642405 4.647047 4.651694 4.656346 4.661002 4.665663 4.670329 4.674999
#> [1545] 4.679674 4.684354 4.689038 4.693727 4.698421 4.703120 4.707823 4.712530
#> [1553] 4.717243 4.721960 4.726682 4.731409 4.736140 4.740876 4.745617 4.750363
#> [1561] 4.755113 4.759868 4.764628 4.769393 4.774162 4.778936 4.783715 4.788499
#> [1569] 4.793288 4.798081 4.802879 4.807682 4.812490 4.817302 4.822119 4.826941
#> [1577] 4.831768 4.836600 4.841437 4.846278 4.851124 4.855976 4.860832 4.865692
#> [1585] 4.870558 4.875429 4.880304 4.885184 4.890070 4.894960 4.899855 4.904754
#> [1593] 4.909659 4.914569 4.919483 4.924403 4.929327 4.934257 4.939191 4.944130
#> [1601] 4.949074 4.954023 4.958977 4.963936 4.968900 4.973869 4.978843 4.983822
#> [1609] 4.988806 4.993794 4.998788 5.003787 5.008791 5.013800 5.018813 5.023832
#> [1617] 5.028856 5.033885 5.038919 5.043958 5.049002 5.054051 5.059105 5.064164
#> [1625] 5.069228 5.074297 5.079372 5.084451 5.089535 5.094625 5.099720 5.104819
#> [1633] 5.109924 5.115034 5.120149 5.125269 5.130394 5.135525 5.140660 5.145801
#> [1641] 5.150947 5.156098 5.161254 5.166415 5.171582 5.176753 5.181930 5.187112
#> [1649] 5.192299 5.197491 5.202689 5.207891 5.213099 5.218312 5.223531 5.228754
#> [1657] 5.233983 5.239217 5.244456 5.249701 5.254950 5.260205 5.265465 5.270731
#> [1665] 5.276002 5.281278 5.286559 5.291846 5.297137 5.302435 5.307737 5.313045
#> [1673] 5.318358 5.323676 5.329000 5.334329 5.339663 5.345003 5.350348 5.355698
#> [1681] 5.361054 5.366415 5.371781 5.377153 5.382530 5.387913 5.393301 5.398694
#> [1689] 5.404093 5.409497 5.414906 5.420321 5.425741 5.431167 5.436598 5.442035
#> [1697] 5.447477 5.452924 5.458377 5.463836 5.469300 5.474769 5.480244 5.485724
#> [1705] 5.491210 5.496701 5.502198 5.507700 5.513207 5.518721 5.524239 5.529764
#> [1713] 5.535293 5.540829 5.546370 5.551916 5.557468 5.563025 5.568588 5.574157
#> [1721] 5.579731 5.585311 5.590896 5.596487 5.602083 5.607686 5.613293 5.618907
#> [1729] 5.624525 5.630150 5.635780 5.641416 5.647057 5.652704 5.658357 5.664015
#> [1737] 5.669679 5.675349 5.681024 5.686705 5.692392 5.698085 5.703783 5.709486
#> [1745] 5.715196 5.720911 5.726632 5.732359 5.738091 5.743829 5.749573 5.755323
#> [1753] 5.761078 5.766839 5.772606 5.778378 5.784157 5.789941 5.795731 5.801527
#> [1761] 5.807328 5.813135 5.818949 5.824768 5.830592 5.836423 5.842259 5.848102
#> [1769] 5.853950 5.859804 5.865663 5.871529 5.877401 5.883278 5.889161 5.895050
#> [1777] 5.900945 5.906846 5.912753 5.918666 5.924585 5.930509 5.936440 5.942376
#> [1785] 5.948319 5.954267 5.960221 5.966181 5.972148 5.978120 5.984098 5.990082
#> [1793] 5.996072 6.002068 6.008070 6.014078 6.020092 6.026112 6.032139 6.038171
#> [1801] 6.044209 6.050253 6.056303 6.062360 6.068422 6.074490 6.080565 6.086645
#> [1809] 6.092732 6.098825 6.104924 6.111029 6.117140 6.123257 6.129380 6.135509
#> [1817] 6.141645 6.147787 6.153934 6.160088 6.166248 6.172415 6.178587 6.184766
#> [1825] 6.190950 6.197141 6.203338 6.209542 6.215751 6.221967 6.228189 6.234417
#> [1833] 6.240652 6.246892 6.253139 6.259392 6.265652 6.271917 6.278189 6.284467
#> [1841] 6.290752 6.297043 6.303340 6.309643 6.315953 6.322269 6.328591 6.334920
#> [1849] 6.341254 6.347596 6.353943 6.360297 6.366658 6.373024 6.379397 6.385777
#> [1857] 6.392162 6.398555 6.404953 6.411358 6.417769 6.424187 6.430611 6.437042
#> [1865] 6.443479 6.449923 6.456372 6.462829 6.469292 6.475761 6.482237 6.488719
#> [1873] 6.495208 6.501703 6.508205 6.514713 6.521227 6.527749 6.534276 6.540811
#> [1881] 6.547352 6.553899 6.560453 6.567013 6.573580 6.580154 6.586734 6.593321
#> [1889] 6.599914 6.606514 6.613120 6.619734 6.626353 6.632980 6.639613 6.646252
#> [1897] 6.652899 6.659551 6.666211 6.672877 6.679550 6.686230 6.692916 6.699609
#> [1905] 6.706308 6.713015 6.719728 6.726447 6.733174 6.739907 6.746647 6.753394
#> [1913] 6.760147 6.766907 6.773674 6.780448 6.787228 6.794015 6.800809 6.807610
#> [1921] 6.814418 6.821232 6.828053 6.834882 6.841716 6.848558 6.855407 6.862262
#> [1929] 6.869124 6.875994 6.882869 6.889752 6.896642 6.903539 6.910442 6.917353
#> [1937] 6.924270 6.931194 6.938126 6.945064 6.952009 6.958961 6.965920 6.972886
#> [1945] 6.979859 6.986838 6.993825 7.000819 7.007820 7.014828 7.021843 7.028864
#> [1953] 7.035893 7.042929 7.049972 7.057022 7.064079 7.071143 7.078214 7.085292
#> [1961] 7.092378 7.099470 7.106570 7.113676 7.120790 7.127911 7.135039 7.142174
#> [1969] 7.149316 7.156465 7.163622 7.170785 7.177956 7.185134 7.192319 7.199511
#> [1977] 7.206711 7.213918 7.221132 7.228353 7.235581 7.242817 7.250059 7.257309
#> [1985] 7.264567 7.271831 7.279103 7.286382 7.293669 7.300962 7.308263 7.315572
#> [1993] 7.322887 7.330210 7.337540 7.344878 7.352223 7.359575 7.366934 7.374301
#> [2001] 7.381676 7.389057 7.396446 7.403843 7.411247 7.418658 7.426077 7.433503
#> [2009] 7.440936 7.448377 7.455825 7.463281 7.470745 7.478215 7.485694 7.493179
#> [2017] 7.500672 7.508173 7.515681 7.523197 7.530720 7.538251 7.545789 7.553335
#> [2025] 7.560888 7.568449 7.576018 7.583594 7.591177 7.598768 7.606367 7.613973
#> [2033] 7.621587 7.629209 7.636838 7.644475 7.652120 7.659772 7.667431 7.675099
#> [2041] 7.682774 7.690457 7.698147 7.705845 7.713551 7.721265 7.728986 7.736715
#> [2049] 7.744452 7.752196 7.759948 7.767708 7.775476 7.783252 7.791035 7.798826
#> [2057] 7.806625 7.814431 7.822246 7.830068 7.837898 7.845736 7.853582 7.861435
#> [2065] 7.869297 7.877166 7.885043 7.892928 7.900821 7.908722 7.916631 7.924547
#> [2073] 7.932472 7.940404 7.948345 7.956293 7.964249 7.972214 7.980186 7.988166
#> [2081] 7.996154 8.004150 8.012154 8.020167 8.028187 8.036215 8.044251 8.052295
#> 
#> $inputs$discrate
#> [1] 0.001566654
#> 
#> 
#> $results
#> $results$ncoh
#> [1] 1
#> 
#> $results$uptake
#> [1] 1
#> 
#> $results$calc
#> # A tibble: 10,440 × 9
#>        j     k     l     t    uj    pk     R     v    pv
#>    <int> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
#>  1     1     1    51     1     1  355.  1.05     1  373.
#>  2     1     1   103     1     1  355.  1.11     1  393.
#>  3     1     1   155     1     1  355.  1.17     1  414.
#>  4     1     1   207     1     1  355.  1.23     1  436.
#>  5     1     1   259     1     1  355.  1.30     1  460.
#>  6     1     1   311     1     1  355.  1.36     1  484.
#>  7     1     1   363     1     1  355.  1.44     1  510.
#>  8     1     1   415     1     1  355.  1.51     1  537.
#>  9     1     1   467     1     1  355.  1.59     1  566.
#> 10     1     1   519     1     1  355.  1.68     1  596.
#> # ℹ 10,430 more rows
#> 
#> $results$cohpv
#> # A tibble: 10 × 3
#>        j tzero    spv
#>    <int> <dbl>  <dbl>
#>  1     1    51 49750.
#>  2     1   103 52404.
#>  3     1   155 55199.
#>  4     1   207 58144.
#>  5     1   259 61246.
#>  6     1   311 64513.
#>  7     1   363 67955.
#>  8     1   415 71580.
#>  9     1   467 75399.
#> 10     1   519 79422.
#> 
#> $results$total
#> # A tibble: 10 × 2
#>    tzero  total
#>    <dbl>  <dbl>
#>  1    51 49750.
#>  2   103 52404.
#>  3   155 55199.
#>  4   207 58144.
#>  5   259 61246.
#>  6   311 64513.
#>  7   363 67955.
#>  8   415 71580.
#>  9   467 75399.
#> 10   519 79422.
#> 
#> $results$mean
#> # A tibble: 10 × 2
#>    tzero   mean
#>    <dbl>  <dbl>
#>  1    51 49750.
#>  2   103 52404.
#>  3   155 55199.
#>  4   207 58144.
#>  5   259 61246.
#>  6   311 64513.
#>  7   363 67955.
#>  8   415 71580.
#>  9   467 75399.
#> 10   519 79422.
#> 
#>