Calculations using Sigma Summation

[Joeclupis]

Hello everybody,

I am working on a thesis paper and have an equation that I need to be able to use in excel. I have no idea how to design an excel equation to match what I see. I thing that this will be an array function of some sort.

The following are the parts of the equation:
C = COST $/L^-1
K = all capital costs ($)
O&M – all operating costs ($)
F = biomass feedstock costs ($)
R = rail freight costs (S)
H = all refining costs (S)

P = hydrocarbon production (L)

d = discount rate
t = case study year (1 – 40)
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and the equation is:

C =( {sigma w/t next to bottom leg}(K_t+O&M_t+F_t+R_t+H_t)(1+d)^-(t-5))/( {sigma w/t under bottom leg) (P_t(1+d)^-(t-5)) )

I will be converting from metric to imperial where applicable. That I can do.

Thank you in advance for the assistance.
[FONT=&quot] [/FONT]
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v:ext="edit" spidmax="1027"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]-->

 

[MEUserII]

If you are looking to use this equation in Excel for the purposes of displaying it; you could do that by converting the equation to LaTeX (mathematical document format), and then inserting the converted equation as an image. See the below link for an online equation editor/composer utilizaing LaTeX:
Link: http://www.sciweavers.org/free-online-latex-equation-editor#

 

[Joeclupis]

If you are looking to use this equation in Excel for the purposes of displaying it; you could do that by converting the equation to LaTeX (mathematical document format), and then inserting the converted equation as an image. See the below link for an online equation editor/composer utilizaing LaTeX:
Link: http://www.sciweavers.org/free-online-latex-equation-editor#

that didn't work as expected

 

[Joeclupis]

i cannot get an image to load into this forum. I have tried the LaTeX, imgur, and linking to my google docs. Nothing works. I will try to finangle this so that is looks like what i need.

_ _
\ \
( /_t * (K_t+O&M_t+F_t+R_t+H_t)(1+d)^-(t-5))/ ( /_ * (P_t(1+d)^-(t-5)) )
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5"/> <w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/> <w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/> <w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/> <w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/> <w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/> <w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/> <w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/> <w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/> <w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/> <w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/> <w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/> <w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/> <w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 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Name="Plain Table 3"/> <w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/> <w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/> <w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 1"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 1"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 1"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 2"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 2"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 2"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 3"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 3"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 3"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 4"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 4"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 4"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 5"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 5"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 5"/> <w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light Accent 6"/> <w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/> <w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/> <w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/> <w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/> <w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful Accent 6"/> <w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful Accent 6"/> <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/> <w:LsdException Locked="false" Priority="47" Name="List Table 2"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3"/> <w:LsdException Locked="false" Priority="49" Name="List Table 4"/> <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/> <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/> <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/> <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 1"/> <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/> <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/> <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/> <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 1"/> <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 1"/> <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 2"/> <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/> <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/> <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/> <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 2"/> <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 2"/> <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 3"/> <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/> <w:LsdException Locked="false" 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2 Accent 5"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/> <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/> <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/> <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 5"/> <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 5"/> <w:LsdException Locked="false" Priority="46" Name="List Table 1 Light Accent 6"/> <w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/> <w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/> <w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/> <w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/> <w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful Accent 6"/> <w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful Accent 6"/> </w:LatentStyles> 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[Joeclupis]

Well, I cannot get it to work. Every time I try to draw it out the editor screws up the positioning of the items. Please try to follow what I posted in the first post and ignore all other posts.

Thank you

 

[MARK858]

Upload your file to a free hosting site like www.box.com or www.dropbox.com, mark your file for sharing and post the link it produces in the thread (not in any tags).
Or
use one of the screenshot addins in my signature block below if it is an Excel file.

 

[shg]

[Table="width:, class:grid"][tr][td="bgcolor:#C0C0C0"][/td][td="bgcolor:#C0C0C0"]

A​

[/td][td="bgcolor:#C0C0C0"]

B​

[/td][td="bgcolor:#C0C0C0"]

C​

[/td][td="bgcolor:#C0C0C0"]

D​

[/td][td="bgcolor:#C0C0C0"]

E​

[/td][td="bgcolor:#C0C0C0"]

F​

[/td][td="bgcolor:#C0C0C0"]

G​

[/td][td="bgcolor:#C0C0C0"]

H​

[/td][/tr][tr][td="bgcolor:#C0C0C0"]

1​

[/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td="bgcolor:#F3F3F3"]

d​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

2​

[/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td]

0.377​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

3​

[/td][td="bgcolor:#F3F3F3"]

t​

[/td][td="bgcolor:#F3F3F3"]

K​

[/td][td="bgcolor:#F3F3F3"]

OnM​

[/td][td="bgcolor:#F3F3F3"]

F​

[/td][td="bgcolor:#F3F3F3"]

R​

[/td][td="bgcolor:#F3F3F3"]

H​

[/td][td="bgcolor:#F3F3F3"]

P​

[/td][td="bgcolor:#F3F3F3"]

​

[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

4​

[/td][td]

1​

[/td][td]

0.435​

[/td][td]

0.538​

[/td][td]

0.541​

[/td][td]

0.410​

[/td][td]

0.799​

[/td][td]

0.432​

[/td][td="bgcolor:#CCFFCC"]

4.55759​

[/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

5​

[/td][td]

2​

[/td][td]

0.707​

[/td][td]

0.426​

[/td][td]

0.803​

[/td][td]

0.621​

[/td][td]

0.421​

[/td][td]

0.993​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

6​

[/td][td]

3​

[/td][td]

0.246​

[/td][td]

0.276​

[/td][td]

0.477​

[/td][td]

0.239​

[/td][td]

0.400​

[/td][td]

0.788​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

7​

[/td][td]

4​

[/td][td]

0.919​

[/td][td]

0.853​

[/td][td]

0.815​

[/td][td]

0.217​

[/td][td]

0.493​

[/td][td]

0.252​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

8​

[/td][td]

5​

[/td][td]

0.615​

[/td][td]

0.777​

[/td][td]

0.759​

[/td][td]

0.606​

[/td][td]

0.824​

[/td][td]

0.811​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

9​

[/td][td]

6​

[/td][td]

0.476​

[/td][td]

0.577​

[/td][td]

0.611​

[/td][td]

0.774​

[/td][td]

0.819​

[/td][td]

0.441​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

10​

[/td][td]

7​

[/td][td]

0.494​

[/td][td]

0.529​

[/td][td]

0.597​

[/td][td]

0.572​

[/td][td]

0.669​

[/td][td]

0.125​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

11​

[/td][td]

8​

[/td][td]

0.892​

[/td][td]

0.169​

[/td][td]

0.184​

[/td][td]

0.806​

[/td][td]

0.943​

[/td][td]

0.717​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

12​

[/td][td]

9​

[/td][td]

0.382​

[/td][td]

0.157​

[/td][td]

0.615​

[/td][td]

0.124​

[/td][td]

0.475​

[/td][td]

0.452​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

13​

[/td][td]

10​

[/td][td]

0.254​

[/td][td]

0.575​

[/td][td]

0.268​

[/td][td]

0.051​

[/td][td]

0.597​

[/td][td]

0.141​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

14​

[/td][td]

11​

[/td][td]

0.394​

[/td][td]

0.787​

[/td][td]

0.744​

[/td][td]

0.372​

[/td][td]

0.940​

[/td][td]

0.041​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

15​

[/td][td]

12​

[/td][td]

0.870​

[/td][td]

0.511​

[/td][td]

0.530​

[/td][td]

0.489​

[/td][td]

0.411​

[/td][td]

0.832​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

16​

[/td][td]

13​

[/td][td]

0.180​

[/td][td]

0.572​

[/td][td]

0.151​

[/td][td]

0.033​

[/td][td]

0.720​

[/td][td]

0.357​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

17​

[/td][td]

14​

[/td][td]

0.377​

[/td][td]

0.236​

[/td][td]

0.214​

[/td][td]

0.494​

[/td][td]

0.629​

[/td][td]

0.928​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

18​

[/td][td]

15​

[/td][td]

0.797​

[/td][td]

0.658​

[/td][td]

0.251​

[/td][td]

0.308​

[/td][td]

0.680​

[/td][td]

0.898​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

19​

[/td][td]

16​

[/td][td]

0.383​

[/td][td]

0.404​

[/td][td]

0.168​

[/td][td]

0.823​

[/td][td]

0.933​

[/td][td]

0.987​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

20​

[/td][td]

17​

[/td][td]

0.912​

[/td][td]

0.218​

[/td][td]

0.260​

[/td][td]

0.112​

[/td][td]

0.545​

[/td][td]

0.832​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

21​

[/td][td]

18​

[/td][td]

0.493​

[/td][td]

0.551​

[/td][td]

0.066​

[/td][td]

0.130​

[/td][td]

0.800​

[/td][td]

0.858​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

22​

[/td][td]

19​

[/td][td]

0.091​

[/td][td]

0.527​

[/td][td]

0.091​

[/td][td]

0.870​

[/td][td]

0.562​

[/td][td]

0.484​

[/td][td][/td][/tr]
[tr][td="bgcolor:#C0C0C0"]

23​

[/td][td]

20​

[/td][td]

0.890​

[/td][td]

0.016​

[/td][td]

0.987​

[/td][td]

0.040​

[/td][td]

0.673​

[/td][td]

0.459​

[/td][td][/td][/tr]
[/table]

The formula in H4 is

=SUMPRODUCT(B4:B23 + C4:C23 + D4:D23 + E4:E23 + F4:F23, (1+$G$2) ^ (5 - A4:A23)) / SUMPRODUCT(G4:G23 * (1 + $G$2) ^ (5 - A4:A23))

 

[Joeclupis]

Re: Calculations using Sigma Summation (SOLVED)

[TABLE="class: grid"]
<tbody>[TR]
[TD="bgcolor: #C0C0C0"][/TD]
[TD="bgcolor: #C0C0C0"]

A​

[/TD]
[TD="bgcolor: #C0C0C0"]

B​

[/TD]
[TD="bgcolor: #C0C0C0"]

C​

[/TD]
[TD="bgcolor: #C0C0C0"]

D​

[/TD]
[TD="bgcolor: #C0C0C0"]

E​

[/TD]
[TD="bgcolor: #C0C0C0"]

F​

[/TD]
[TD="bgcolor: #C0C0C0"]

G​

[/TD]
[TD="bgcolor: #C0C0C0"]

H​

[/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

1​

[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD="bgcolor: #F3F3F3"]

d​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

2​

[/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD][/TD]
[TD]

0.377​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

3​

[/TD]
[TD="bgcolor: #F3F3F3"]

t​

[/TD]
[TD="bgcolor: #F3F3F3"]

K​

[/TD]
[TD="bgcolor: #F3F3F3"]

OnM​

[/TD]
[TD="bgcolor: #F3F3F3"]

F​

[/TD]
[TD="bgcolor: #F3F3F3"]

R​

[/TD]
[TD="bgcolor: #F3F3F3"]

H​

[/TD]
[TD="bgcolor: #F3F3F3"]

P​

[/TD]
[TD="bgcolor: #F3F3F3"][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

4​

[/TD]
[TD]

1​

[/TD]
[TD]

0.435​

[/TD]
[TD]

0.538​

[/TD]
[TD]

0.541​

[/TD]
[TD]

0.410​

[/TD]
[TD]

0.799​

[/TD]
[TD]

0.432​

[/TD]
[TD="bgcolor: #CCFFCC"]

4.55759​

[/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

5​

[/TD]
[TD]

2​

[/TD]
[TD]

0.707​

[/TD]
[TD]

0.426​

[/TD]
[TD]

0.803​

[/TD]
[TD]

0.621​

[/TD]
[TD]

0.421​

[/TD]
[TD]

0.993​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

6​

[/TD]
[TD]

3​

[/TD]
[TD]

0.246​

[/TD]
[TD]

0.276​

[/TD]
[TD]

0.477​

[/TD]
[TD]

0.239​

[/TD]
[TD]

0.400​

[/TD]
[TD]

0.788​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

7​

[/TD]
[TD]

4​

[/TD]
[TD]

0.919​

[/TD]
[TD]

0.853​

[/TD]
[TD]

0.815​

[/TD]
[TD]

0.217​

[/TD]
[TD]

0.493​

[/TD]
[TD]

0.252​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

8​

[/TD]
[TD]

5​

[/TD]
[TD]

0.615​

[/TD]
[TD]

0.777​

[/TD]
[TD]

0.759​

[/TD]
[TD]

0.606​

[/TD]
[TD]

0.824​

[/TD]
[TD]

0.811​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

9​

[/TD]
[TD]

6​

[/TD]
[TD]

0.476​

[/TD]
[TD]

0.577​

[/TD]
[TD]

0.611​

[/TD]
[TD]

0.774​

[/TD]
[TD]

0.819​

[/TD]
[TD]

0.441​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

10​

[/TD]
[TD]

7​

[/TD]
[TD]

0.494​

[/TD]
[TD]

0.529​

[/TD]
[TD]

0.597​

[/TD]
[TD]

0.572​

[/TD]
[TD]

0.669​

[/TD]
[TD]

0.125​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

11​

[/TD]
[TD]

8​

[/TD]
[TD]

0.892​

[/TD]
[TD]

0.169​

[/TD]
[TD]

0.184​

[/TD]
[TD]

0.806​

[/TD]
[TD]

0.943​

[/TD]
[TD]

0.717​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

12​

[/TD]
[TD]

9​

[/TD]
[TD]

0.382​

[/TD]
[TD]

0.157​

[/TD]
[TD]

0.615​

[/TD]
[TD]

0.124​

[/TD]
[TD]

0.475​

[/TD]
[TD]

0.452​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

13​

[/TD]
[TD]

10​

[/TD]
[TD]

0.254​

[/TD]
[TD]

0.575​

[/TD]
[TD]

0.268​

[/TD]
[TD]

0.051​

[/TD]
[TD]

0.597​

[/TD]
[TD]

0.141​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

14​

[/TD]
[TD]

11​

[/TD]
[TD]

0.394​

[/TD]
[TD]

0.787​

[/TD]
[TD]

0.744​

[/TD]
[TD]

0.372​

[/TD]
[TD]

0.940​

[/TD]
[TD]

0.041​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

15​

[/TD]
[TD]

12​

[/TD]
[TD]

0.870​

[/TD]
[TD]

0.511​

[/TD]
[TD]

0.530​

[/TD]
[TD]

0.489​

[/TD]
[TD]

0.411​

[/TD]
[TD]

0.832​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

16​

[/TD]
[TD]

13​

[/TD]
[TD]

0.180​

[/TD]
[TD]

0.572​

[/TD]
[TD]

0.151​

[/TD]
[TD]

0.033​

[/TD]
[TD]

0.720​

[/TD]
[TD]

0.357​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

17​

[/TD]
[TD]

14​

[/TD]
[TD]

0.377​

[/TD]
[TD]

0.236​

[/TD]
[TD]

0.214​

[/TD]
[TD]

0.494​

[/TD]
[TD]

0.629​

[/TD]
[TD]

0.928​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

18​

[/TD]
[TD]

15​

[/TD]
[TD]

0.797​

[/TD]
[TD]

0.658​

[/TD]
[TD]

0.251​

[/TD]
[TD]

0.308​

[/TD]
[TD]

0.680​

[/TD]
[TD]

0.898​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

19​

[/TD]
[TD]

16​

[/TD]
[TD]

0.383​

[/TD]
[TD]

0.404​

[/TD]
[TD]

0.168​

[/TD]
[TD]

0.823​

[/TD]
[TD]

0.933​

[/TD]
[TD]

0.987​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

20​

[/TD]
[TD]

17​

[/TD]
[TD]

0.912​

[/TD]
[TD]

0.218​

[/TD]
[TD]

0.260​

[/TD]
[TD]

0.112​

[/TD]
[TD]

0.545​

[/TD]
[TD]

0.832​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

21​

[/TD]
[TD]

18​

[/TD]
[TD]

0.493​

[/TD]
[TD]

0.551​

[/TD]
[TD]

0.066​

[/TD]
[TD]

0.130​

[/TD]
[TD]

0.800​

[/TD]
[TD]

0.858​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

22​

[/TD]
[TD]

19​

[/TD]
[TD]

0.091​

[/TD]
[TD]

0.527​

[/TD]
[TD]

0.091​

[/TD]
[TD]

0.870​

[/TD]
[TD]

0.562​

[/TD]
[TD]

0.484​

[/TD]
[TD][/TD]
[/TR]
[TR]
[TD="bgcolor: #C0C0C0"]

23​

[/TD]
[TD]

20​

[/TD]
[TD]

0.890​

[/TD]
[TD]

0.016​

[/TD]
[TD]

0.987​

[/TD]
[TD]

0.040​

[/TD]
[TD]

0.673​

[/TD]
[TD]

0.459​

[/TD]
[TD][/TD]
[/TR]
</tbody>[/TABLE]


The formula in H4 is

=SUMPRODUCT(B4:B23 + C4:C23 + D4:D23 + E4:E23 + F4:F23, (1+$G$2) ^ (5 - A4:A23)) / SUMPRODUCT(G4:G23 * (1 + $G$2) ^ (5 - A4:A23))

shg,

Thank you. This looks like it should work. I am still trying to understand the SUMPRODUCT statement. Using your numbers and formula I came up with 6.22436. I set up the spreadsheet exactly like yours and copied the formula exactly.

But it is time for me to shut the book and join reality.

Have a nice day

 

[shg]

I think you mis-copied something.