Continuous Exponential Growth Curve Across Phases

cajunlaroux

New Member
Joined
Jun 16, 2020
Messages
3
Office Version
  1. 365
Platform
  1. Windows
I need assistance with creating a continuous exponential growth curve across two phases in Excel. Here are the specifics:

• Total Duration: 157 days
• Phases:
• Phase 1: January, February, March
• Phase 2: April, May, June
• Overall Goal: 1.6 million units
• Goals by Phase:
• Phase 1: 35% of the overall goal
• Phase 2: 65% of the overall goal

Current Approach:

1. Overall Growth Rate Calculation:
• Cell C1: =1,600,000/SUM(GROWTH(SEQUENCE(157)))
2. Exponential Growth Curve:
• Column A: =SEQUENCE(157)
• Column B: =GROWTH(A1#,,,TRUE)*$C$1

This approach generates a smooth exponential growth curve from day 1 to day 157. However, I need to ensure the curve is continuous between the phases without a dip when transitioning from Phase 1 to Phase 2.

Desired Outcome:

• The goal on the last day of Phase 1 should smoothly transition into the first day of Phase 2.
• Example: If the goal on March 31 (end of Phase 1) is 7,500, the goal on April 1 (start of Phase 2) should logically continue, say 8,500 or 9,000, without dropping.

Challenge:

I need a variable growth rate for each month that respects the overall phase goals:

• Column D in the spreadsheet indicates the percentage of the total goal for each month.
• Column K should sum up to the goals in Column C for each month.

Attached is the Excel file with the initial data and calculations. Any guidance on how to structure this continuous growth curve effectively in Excel would be greatly appreciated.

Thank you
 

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I suggest to use a linear breakdown because the growth rate looks pretty linear, not exponential (please extend columns K:M down to row 159, then you can play around a bit with starting cell L2):
MrExcel_Continuous Exponential Growth Curve Across Phases.xlsx
ABCDEFGHIJKLM
1MonthDaysGoal% of TotalQuarterDaysTotalDateGoal from MonthGoal from Quarter
201.01.20243156.0003,5%01.01.20249156000035%31.12.2023500500
301.02.202429168.00010,5%01.04.202466104000065%01.01.2024582623
401.03.202431336.00021,0%02.01.2024663746
501.04.202430416.00026,0%03.01.2024745869
601.05.202431520.00032,5%04.01.2024827992
701.06.20245104.0006,5%05.01.20249081.115
8Total1571.600.000100,0%06.01.20249901.237
907.01.20241.0721.360
10Forecast08.01.20241.1531.483
11MonthDaysGoal% of Total09.01.20241.2351.606
12Jan3156.0002,6%10.01.20241.3171.729
13Feb29168.0007,9%11.01.20241.3981.852
14Mar31336.00015,8%12.01.20241.4801.975
15Apr30416.00019,6%13.01.20241.5612.098
16May31520.00024,5%14.01.20241.6432.221
17Jun30624.00029,4%15.01.20241.7252.344
18Total1822.120.000100,0%16.01.20241.8062.467
1917.01.20241.8882.589
2018.01.20241.9702.712
2119.01.20242.0512.835
2220.01.20242.1332.958
2321.01.20242.2153.081
2422.01.20242.2963.204
2523.01.20242.3783.327
2624.01.20242.4603.450
2725.01.20242.5413.573
2826.01.20242.6233.696
2927.01.20242.7053.819
3028.01.20242.7863.941
3129.01.20242.8684.064
3230.01.20242.9504.187
3331.01.20243.0314.310
3401.02.20243.2154.433
Tabelle1
Cell Formulas
RangeFormula
G2:H2G2=SUM(B2:B4)
I2:I3,D2:D7I2=H2/$C$8
G3:H3G3=SUM(B5:B7)
M2M2=L2
L3:L34L3=VLOOKUP(DATE(YEAR($K3),MONTH($K3),0),K$2:L2,2)+(DAY($K3))*(VLOOKUP(DATE(YEAR($K3),MONTH($K3),1),$A$2:$C$7,3)-VLOOKUP(DATE(YEAR($K3),MONTH($K3),0),K$2:L2,2)*VLOOKUP(DATE(YEAR($K3),MONTH($K3),1),$A$2:$C$7,2))/(VLOOKUP(DATE(YEAR($K3),MONTH($K3),1),$A$2:$C$7,2)*(1+VLOOKUP(DATE(YEAR($K3),MONTH($K3),1),$A$2:$C$7,2))/2)
M3:M34M3=VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),0),K$2:M2,3)+($K3-DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),0))*(VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),1),$F$2:$H$3,3)-VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),0),K$2:M2,3)*VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),1),$F$2:$H$3,2))/(VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),1),$F$2:$H$3,2)*(1+VLOOKUP(DATE(YEAR($K3),1+FLOOR.MATH(MONTH($K3)-1,3,),1),$F$2:$H$3,2))/2)
B8:D8,B18:D18B8=SUM(B2:B7)
D12:D17D12=C12/$C$18
C17C17=C7/B7*B17
 
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