Example data with desired outcome that I need to calculate
I have 12 items of a certain current value. I have a 'soft' cap of $1,000,000 for these values. Some of the items fall above, and some below this cap level.
I have an amount of money (for this example $900,000) that I want to distribute amongst only the items that fall below the cap (in this example 6 items), with the aim of bringing the value of these items up to but not over the cap value.
If I distribute the $900,000 evenly over these 6 items (each receiving $150,000), you can see that items 2 and 9 would then be over the $1,000,000 cap. So items 2 and 9 should only receive $100,000 to raise their value to the cap, then the remaining 4 items would receive and equal share on the remaining pool of money ($700,000 / 4 = $175,000).
So I need a formula to check every item to see if it needs a distribution (i.e below the cap) and then portion/divide out the money pool as illustrated above in the desired distribution column.
Note: The pool of money to be distributed can change. Also the number of items below the cap can change. The cap value itself can change.
I am hoping to avoid VBA or Solver because the spreadsheet could be used on other people's computers.
Hopefully this makes sense. Thanks.
EDIT:
So far I have been able to get close by adding a helper column and using the following formula:
=IF(SUM($F$6:F14)=$D$23,0,E15*MIN(D15,($D$23-SUM($F$6:F14))/SUM(E15:$E$18)))
Working example when values are sorted.
This seems to work when the values are sorted in descending order, as shown in the example image above. But seems to break when the values are a bit more randomly assorted which is likely to happen (as in the original post).
Just to give you an idea of how the solver can be set up to do a capital budget model here is one, also shows the solver and its settings:
Related
(I use the term "teams" generically here because the entirety of this question rests on ranking, and it seemed to be the most intuitive language to describe my problem.)
In a league of 30 teams, each day only 8 teams play. The results for those teams are ranked ordinally from 1 to 8 for the day. This continues "forever", so that additional results must be recorded every day.
Example after 4 days:
I want to calculate a single number to describe the relationship between two teams. For instance, given the example, the value (in a 2d table) that describes the relationship of Ace to Get is 1. Ace beat Get twice and Get beat Ace once (2-1).
I have been messing with Sumproduct, Match, and Index to get get values, which I could calculate using many extra tables, but I may need to add "teams" on the fly, and I do not know how large the pool of teams will become. Because of this, I was hoping to be able to use a single formula in the 2d relationship table. The results of that table, looking at just day 1 and day 2 given the previous example, are:
Is there a direct formula I can use to calculate the results to populate that table?
You can try following formula:
=IF($A11<>B$10;
SUMPRODUCT(
IF(MMULT(($B$1:$I$1)*($B$2:$I$3=$A11);ROW($1:$8)^0)
<MMULT(($B$1:$I$1)*($B$2:$I$3=B$10);ROW($1:$8)^0);
1;
-1)
*(((MMULT(--($B$2:$I$3<>$A11);ROW($1:$8)^0)=8)
+(MMULT(--($B$2:$I$3<>B$10);ROW($1:$8)^0)=8))
=0));
"")
Copy right and down.
So I'm trying to create an Excel sheet to split the values of 70 items into six groups.
For reference, this is to divide my grandma's estate evenly for her six children. I have approx. 70 items and their appraised values in an Excel sheet, but not sure the best way to go about this. I was hoping to use Solver, but haven't been able to figure it out.
Ideally I could make it so people could pick specific items that they want and run the Excel sheet again to re-balance all the values.
Thanks!
So set this up, based on a thrown together set of values.
Each sumproduct is held to be <= to the (total value / 6)-10. You may want to reduce this to 5 or 2 etc but the smaller you go the harder it is to solve due to the values of the items.
I have done this for 30 items, there is a limit to the number of variables in the Solver - if you hit that then you might consider pairing items, or manually setting some will help, see below.
You might want to add something for sentimental value - I will leave you to consider that.
As for manually setting some items then you can set those items to one, move them to the top or bottom and remove them from the Solver variable cells - that way they won't get changed, but they still need to be included for the value. If the values are similar then they can be taken out if the differences are ignored by the parties.
So, edited the model, see below. Note that 1 item is not allocated. This could be addressed by changing the constraint controlling cells J9:J38 but it comes down to the difficulty of finding an exact solution and that is also why the 10 can be adjusted...
Hopefully the title makes some sense because I'm trying to wrap my head around the logic and I'm not quite sure how to phrase the question.I'll try to give a brief explanation of the end goal without over complicating it with unnecessary details.
I have a table of survey score averages for every month per person and a correlating table with the number of surveys each person received for each month. The logic is essentially multiple the score for each month by the number of surveys, combine them, divide by the total number of surveys within that time period to get their true average. Where things get a little complicated is that I have to include the ability to set a custom date range and return the value. So sometimes I might be looking at the average for Jan - Apr, other times I might just be looking at Feb-Mar etc.
I think sumproduct is going to get what I need done but I'm running into issues trying to write it out. I've written it several different ways and none of them worked so here's one that best conveys what I'm trying to do,
=SUMPRODUCT(--(F7:I7,L7:O7>=C2),--(F7:I7,L7:O7<=C3),--(E8:E12,K8:K12=B9),tbl_average[[Jan-20]:[Apr-20]],tbl_surveys[[Jan-20]:[Apr-20]])
I super appreciate any assistance I can get on this. I'm hoping the end result is not nearly as difficult as I'm making it out to be.
Some additional information:
I'm going to be using this same process to calculate multiple metrics across multiple worksheets.In the test example each of the tables will most likely be on different sheets. The dashboard with the calculated results will contain everyone's names and will be filtered and rearranged frequently, so I need to make sure we're always matching directly to their names and not just the relative rows. Basically, in my example I show that Agent 1 is always lined up on row 8 but that's not always going to be the case. Agent 1 could be in Row 8 on Sheet 1, Row 10 on Sheet 2, and Row 12 on Sheet 3 and I need all the correct values to multiply and sum against one another.
I am looking for some help regarding ranking. My spreadsheet has columns labeled as follows:
Tickers
P/E Rate of Change
P/B Rate of Change
Dividend Yield Rate of Change
P/Sales Rate of Change
I am looking to come up with a composite ranking that takes into account a tickers relative rank within each rate of change category. I tried this first by creating an additional 4 columns and using the formula as follows:
IFERROR(RANK(D4,$D:$D,1),"")
I believe this gives me a rank for the corresponding rate of change. However, for those cells that have either a blank or an error I want to use a median in calculating the tickers rank. I was then going to sum the ranks in another column to come up with my final ranking but that doesn't seem to be calculating correctly as I have blank rows returning rankings that don't make sense.
I think you are almost there.
For one column I would change what you have to
=IFERROR(RANK(D4,$D:$D,1),MEDIAN($D:$D))
Then simply expand to add all ranks together
=IFERROR(RANK(A4,$A:$A,1),MEDIAN($D:$D))
+IFERROR(RANK(B4,$B:$B,1),MEDIAN($D:$D))
+IFERROR(RANK(C4,$C:$C,1),MEDIAN($D:$D))
+IFERROR(RANK(D4,$D:$D,1),MEDIAN($D:$D))
+IFERROR(RANK(E4,$E:$E,1),MEDIAN($D:$D))
To avoid potentially large numbers you could use an average (same resulting rank, but potentially easier to understand) by slightly changing the formula to:
=(IFERROR(RANK(A4,$A:$A,1),MEDIAN($D:$D))
+IFERROR(RANK(B4,$B:$B,1),MEDIAN($D:$D))
+IFERROR(RANK(C4,$C:$C,1),MEDIAN($D:$D))
+IFERROR(RANK(D4,$D:$D,1),MEDIAN($D:$D))
+IFERROR(RANK(E4,$E:$E,1),MEDIAN($D:$D)))/5
I have a requirement in Excel to spread small; i.e. pennies, monetry rounding errors fairly across the members of my club.
The error arises when I deduct money from members; e.g. £30 divided between 21 members is £1.428571... requiring £1.43 to be deducted from each member, totalling £30.03, in order to hit the £30 target.
The approach that I want to take, continuing the above example, is to deduct £1.42 from each member, totalling £29.82, and then deduct the remaining £0.18 using an error spreading technique to randomly take an extra penny from 18 of the 21 members.
This immediately made me think of Reservoir Sampling, and I used the information here: Random selection,
to construct the test Excel spreadsheet here: https://www.dropbox.com/s/snbkldt6e8qkcco/ErrorSpreading.xls, on Dropbox, for you guys to play with...
The problem I have is that each row of this spreadsheet calculates the error distribution indepentently of every other row, and this causes some members to contribute more than their fair share of extra pennies.
What I am looking for is a modification to the Resevoir Sampling technique, or another balanced / 2 dimensional error spreading methodology that I'm not aware of, that will minimise the overall error between members across many 'error spreading' rows.
I think this is one of those challenging problems that has a huge number of other uses, so I'm hoping you geniuses have some good ideas!
Thanks for any insight you can share :)
Will
I found a solution. Not very elegant, through.
You have to use two matrix. In the first you get completely random number, chosen with =RANDOM() and in the second you choose the n greater value
Say that in F30 you have the first
=RANDOM()
cell.
(I have experimented with your sheet.)
Just copy a column of n (in your sheet 8) in column A)
In cell F52 you put:
=IF(RANK(F30,$F30:$Z30)<=$A52, 1, 0)
Until now, if you drag left and down the formulas, you have the same situation that is in your sheet (only less elegant und efficient).
But starting from the second row of random number you could compensate for the penny esbursed.
In cell F31 you put:
=RANDOM()-SUM(F$52:F52)*0.5
(pay attention to the $, each random number should have a correction basated on penny already spent.)
If the $ are ok you should be OK dragging formulas left and down. You could also parametrize the 0.5 and experiment with other values. With 0,5 I have a error factor (the equivalent of your cell AB24) between 1 and 2