ModelMonte Carlo Simulation Example

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Jon: Monte Carlo Simulation Example:Sales ForecastingVersion 1.1Sales Forecast Model

Input Values (input)

NominalMinMaxStochastic

Leads per Month (L)1500120018001465.2014775069Cost Per Lead (C)$0.50$0.20$0.80$0.24Conversion Rate (R)3.0%1.0%5.0%3.124%Profit per Sale (P)$50.00$47.00$53.00$49.47Overhead per Month (H)$800.00

Results (calculations)

DeterministicStochastic

Monthly Income:$2,250.00$2,264.08Monthly Expenses:$1,550.00$1,156.64

Projected Monthly Profit:$700.00$1,107.44

Monte Carlo Simulation (Summary Report)See MCsim WorksheetSummary StatisticsQuartiles

Sample Size (n):5000Min:-$1,324.96Q(0.25):-$58.00MEAN:$701.89Median:$689.86STDEV:$933.32Q(0.75):$1,418.02Mean Standard Error:$13.20Max:$3,181.52

Prob(Profit > 0)

Pr(y > 0):73.1%

Press F9 to Re-CalculateINSTRUCTIONS:

Fill in the yellow input fields - you can include your uncertainty (max and min)Press F9 to re-calculate the stochastic model

MCsimL (rand)C (rand)R (rand)P (rand)H (const)ProfitHistogram PlotSummary Statistics1327.9601722162$0.762.357%$47.87$800.00($305.56)1442.3115722333$0.673.465%$49.00$800.00$675.53Min:-2000Sample Size (N):50001440.2572753509$0.503.584%$47.94$800.00$957.10Max:40001564.1396795607$0.404.540%$50.64$800.00$2,175.05N:5000Central Tendancy (Location)1571.914281472$0.473.449%$48.67$800.00$1,100.001668.8622722139$0.212.488%$51.12$800.00$969.65BinsCountScaledTotalMean:
Jon: Sample Mean:The average of the sampled data. An estimate of the true population mean.$701.89Median:
Jon: Median:The "value in the middle" or the 50th percentile. For an even number of points, the median is the average of the middle two points.$689.861347.3854573645$0.524.346%$52.78$800.00$1,584.14-2000000StErr:
Jon: Standard Error:The uncertainty associated with the estimated mean. The standard error is an estimate of the standard deviation of the sample means for repeated MC simulations. It can be used to calculate confidence intervals for the true population mean.$13.201239.3786964223$0.713.707%$48.72$800.00$560.36-18500001702.9975645584$0.614.190%$48.17$800.00$1,598.47-1700000Spread1402.3953278963$0.783.200%$52.50$800.00$467.65-15500001763.1761138345$0.654.496%$50.52$800.00$2,053.72-1400000StDev:
Jon: Sample Standard Deviation$933.321212.4548331553$0.562.463%$50.10$800.00$16.27-125040.00000533330.0008Max:
Jon: Maximum$3,181.52Q(.75):
Jon: 3rd Quartile (Q3):The 75th Percentile$1,418.021277.8874101961$0.313.250%$49.39$800.00$857.88-1100250.00003333330.0058Min:
Jon: Minimum($1,324.96)Q(.25):
Jon: 1st Quartile (Q1):The 25th Percentile($58.00)1611.4059088602$0.461.317%$49.74$800.00($488.10)-950550.00007333330.0168Range:
Jon: Range:Max - Min$4,506.48IQ Range:
Jon: Interquartile Range:Q(0.75) - Q(0.25)or Q3 - Q1$1,476.021693.6828312819$0.723.136%$48.83$800.00$575.47-800950.00012666670.03581407.2576465726$0.572.053%$51.22$800.00($122.36)-6501650.000220.0688Shape1773.189539296$0.571.854%$51.07$800.00($123.05)-5001920.0002560.10721450.8643845168$0.331.545%$49.56$800.00($174.24)-3502380.00031733330.1548Skewness:
Jon: Skewness:+ Positive: skewed to the right (longer right-hand tail)- Negative: skewed to the left (longer left-hand tail)0.12946331951479.1096172234$0.264.578%$50.30$800.00$2,228.15-2002560.00034133330.206Kurtosis:
Jon: Kurtosis:Peakedness, compared to a Normal distribution.-0.82674298391746.1993095711$0.744.202%$48.09$800.00$1,441.02-502310.0003080.25221465.168172525$0.331.574%$52.76$800.00($63.95)1002630.00035066670.30481245.9605904169$0.224.747%$50.21$800.00$1,892.422502710.00036133330.3591315.4228929803$0.214.596%$51.27$800.00$2,023.004002410.00032133330.40721371.131495327$0.774.696%$49.74$800.00$1,345.685502450.00032666670.45621671.522175484$0.633.023%$51.05$800.00$726.237002370.0003160.50361763.7288171919$0.673.185%$51.24$800.00$896.308502350.00031333330.55061597.0309489357$0.581.243%$48.60$800.00($767.21)10002610.0003480.60281664.0266537501$0.283.499%$48.82$800.00$1,584.2111502680.00035733330.65641721.8285670165$0.794.357%$52.41$800.00$1,768.5113002900.00038666670.71441798.9952912295$0.791.379%$51.40$800.00($950.34)14502260.00030133330.7596Probabilities1769.3038366469$0.482.387%$51.55$800.00$522.6516002460.0003280.80881246.4850338549$0.454.707%$52.23$800.00$1,701.2217501950.000260.8478Pr( y > 0 ):73%1314.267151545$0.584.205%$51.59$800.00$1,285.3719002190.0002920.89161737.8124647756$0.734.528%$51.18$800.00$1,951.7320501410.0001880.9198Pr( y < -700) =5.62%1651.9899567982$0.501.627%$47.79$800.00($335.29)22001260.0001680.945Pr( y > 2000) =8.80%1736.8280405778$0.234.740%$49.57$800.00$2,885.732350920.00012266670.9634Pr( -700 < y < 2000 ) = 85.58%1228.5830724753$0.322.100%$49.47$800.00$77.652500750.00010.9784Alpha (a):0.14421764.4683472586$0.431.354%$50.51$800.00($348.64)2650400.00005333330.98641676.7881999302$0.453.046%$47.69$800.00$885.512800320.00004266670.99281451.6661395201$0.752.246%$47.60$800.00($330.93)2950210.0000280.9971371.1585681697$0.454.635%$48.33$800.00$1,659.333100100.00001333330.9991533.6807570056$0.764.285%$48.68$800.00$1,228.44325050.000006666711225.8344444524$0.754.726%$47.55$800.00$1,041.6534000011522.9814521518$0.594.539%$50.22$800.00$1,768.1635500011784.6011063827$0.621.930%$47.75$800.00($259.56)37000011407.2236524152$0.303.523%$48.04$800.00$1,157.1738500011783.5210998706$0.323.691%$47.28$800.00$1,737.7040000011662.7817936144$0.521.596%$50.43$800.00($331.01)1302.2982131494$0.652.487%$48.62$800.00($77.80)1729.4994239353$0.522.314%$49.79$800.00$288.511260.0289694407$0.263.734%$48.09$800.00$1,137.501628.4559796596$0.564.754%$51.38$800.00$2,261.601792.4229679594$0.244.855%$48.63$800.00$3,009.831581.9271952601$0.212.272%$50.73$800.00$689.151287.1119882241$0.654.599%$48.97$800.00$1,268.161443.7360878236$0.434.403%$50.97$800.00$1,818.341286.8361093754$0.471.640%$50.85$800.00($329.20)1484.1259859159$0.383.304%$51.70$800.00$1,166.001329.0360461834$0.243.855%$48.02$800.00$1,336.401569.6812528836$0.643.595%$52.17$800.00$1,135.851714.3702714164$0.681.185%$52.80$800.00($892.03)1483.5789873869$0.364.869%$50.11$800.00$2,278.431494.0261694563$0.553.505%$48.44$800.00$918.701594.8542045094$0.753.270%$48.18$800.00$511.011537.9423996219$0.543.714%$47.27$800.00$1,067.201261.0502971279$0.793.108%$52.71$800.00$273.131784.239286733$0.751.222%$51.76$800.00($1,006.47)1314.6709735922$0.484.888%$52.27$800.00$1,926.261237.0859385639$0.384.523%$52.94$800.00$1,688.001249.7852579686$0.434.117%$47.36$800.00$1,097.521720.6561181699$0.583.546%$50.20$800.00$1,269.151750.3974321716$0.341.025%$49.91$800.00($503.59)1304.0519264383$0.752.324%$51.35$800.00($226.02)1354.0900406383$0.761.103%$47.90$800.00($1,115.18)1663.4074293362$0.671.945%$52.48$800.00($218.96)1313.6044916541$0.474.880%$51.88$800.00$1,909.551348.2870906657$0.534.048%$47.47$800.00$1,076.181258.3207879016$0.773.415%$47.63$800.00$283.531584.6937777239$0.361.781%$51.91$800.00$101.291716.8384076392$0.513.946%$48.96$800.00$1,646.991441.6812273924$0.664.358%$47.15$800.00$1,204.941734.1482237306$0.261.911%$49.21$800.00$379.351224.9040497352$0.733.970%$49.86$800.00$730.741733.6477424676$0.373.008%$51.48$800.00$1,236.571754.3598973803$0.244.862%$50.39$800.00$3,077.241326.7137254277$0.724.819%$51.27$800.00$1,525.681570.6993025587$0.701.758%$49.10$800.00($542.99)1393.2149463236$0.272.920%$52.03$800.00$942.991595.2156274417$0.754.909%$47.03$800.00$1,689.961267.8578158267$0.774.960%$51.80$800.00$1,486.911462.7149972059$0.651.241%$48.40$800.00($869.11)1350.0890047719$0.652.475%$47.32$800.00($101.16)1553.0740227696$0.421.083%$48.05$800.00($647.43)1767.5145960595$0.401.072%$51.34$800.00($537.94)1350.2715765259$0.264.638%$48.37$800.00$1,877.091371.9824220968$0.241.187%$50.37$800.00($303.20)1462.6471743169$0.263.282%$49.71$800.00$1,209.861481.9138877106$0.771.591%$47.19$800.00($822.70)1750.0279230143$0.343.856%$50.25$800.00$1,994.781745.9368951051$0.384.989%$50.98$800.00$2,981.731247.5326370137$0.621.977%$48.73$800.00($374.35)1498.9981400435$0.794.322%$52.23$800.00$1,393.131271.5296761971$0.202.870%$48.48$800.00$712.021466.1203465026$0.783.220%$52.97$800.00$551.451638.440778474$0.541.394%$52.27$800.00($498.17)1447.261957002$0.781.089%$47.24$800.00($1,185.00)1245.0909976854$0.362.122%$48.40$800.00$27.121364.5199270211$0.402.771%$49.02$800.00$509.641671.4397077693$0.714.543%$49.81$800.00$1,789.561585.0410576986$0.511.458%$49.81$800.00($452.60)1728.1033508522$0.241.017%$47.56$800.00($371.99)1689.6096826035$0.433.171%$50.29$800.00$1,166.551392.5049647978$0.411.224%$47.10$800.00($561.00)1704.4394746688$0.253.728%$47.70$800.00$1,799.481306.3933672565$0.484.577%$49.47$800.00$1,525.831299.9923063778$0.233.576%$49.16$800.00$1,183.181302.4989881966$0.603.407%$49.88$800.00$626.031576.2871769889$0.581.193%$47.24$800.00($820.78)1614.7553388675$0.753.331%$50.87$800.00$731.171316.7203005744$0.403.756%$49.03$800.00$1,098.251685.9612757202$0.274.959%$52.60$800.00$3,135.991252.1446499591$0.423.941%$49.31$800.00$1,112.231275.5830983124$0.413.172%$49.60$800.00$686.331291.0592076712$0.642.603%$49.36$800.00$27.411650.5115035378$0.421.343%$50.43$800.00($381.06)1668.0176275$0.552.581%$47.37$800.00$328.511214.0691031981$0.372.268%$47.58$800.00$61.051791.8819640447$0.283.876%$51.95$800.00$2,297.501367.0244554687$0.411.749%$49.38$800.00($174.26)1288.8146396313$0.302.602%$48.64$800.00$449.691730.9967782011$0.341.746%$52.40$800.00$187.341322.9455749213$0.461.937%$52.88$800.00($56.24)1406.9138453853$0.612.841%$51.68$800.00$412.121644.5783203963$0.453.930%$48.82$800.00$1,619.621693.5502316729$0.723.574%$50.81$800.00$1,061.431678.6081042283$0.654.647%$50.54$800.00$2,055.391659.9348039669$0.421.270%$51.97$800.00($401.41)1209.5330323036$0.292.187%$48.47$800.00$132.551243.7547911013$0.311.703%$50.06$800.00($124.50)1472.1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