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hasan ahmed's avatar
hasan ahmed
Copper Contributor
Jul 13, 2019
Solved

Help with #NUM error in IRR formula

In the attached image and file (See tab B&C, Cell B15,) I'm having difficulties with the IRR formula as it is displaying a #NUM error instead of a numerical value. What seems to be the issue here? ...
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    ganeshsanap
    Mar 01, 2023

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What seems to be the issue here? ...","body@stringLength":"600","rawBody":"

In the attached image and file (See tab B&C, Cell B15,) I'm having difficulties with the IRR formula as it is displaying a #NUM error instead of a numerical value. What seems to be the issue here?

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mah2023  wrote: ``35 cash flows is correct(a1:a35), but unfortunately, an error appears after entering the formula(as the attach excel file)``

Amazing what a little detail will reveal!  Please keep that in mind for all future questions.

Refer to the image below, and see the attached Excel file for details.

 

 

In general, when Excel IRR returns #NUM and there is nothing wrong with the data, we need to provide a \"guess\" (optional second parameter) in order to the Excel algorithm.

 

Unfortunately, there is no \"good\" way to choose a good guess.

 

The NPV curve in columns S:T suggests that there might be IRRs between -10% and -5% and between -5% and 0%, since the NPV changes signs in T23:T25.

 

In fact, Solver (not shown) finds IRRs at about -5.1703457688% and -0.486775222%.

 

Nevertheless, Excel IRR cannot find those IRR, even with a good \"guess\".

 

There are several factors that might contribute to that \"failure\".

 

The major factor seems to be the magnitude of the cash flows, which is extremely large.

 

With integer parts of 10 to 13 digits, they are already near the limits of 64-bit binary floating-point precision.

 

If we scale the cash flows down by 1E+06 (1 million), Excel IRR has no problem finding the IRRs with very little loss in precision relatively.

 

The IRR formulas are:

O40: =IRR(O4:O38/1000000)

O41: =IRR(O4:O38/1000000, -10%)

 

To confirm the results, the NPV formulas are:

Q40: =NPV(O40, $O$4:$O$38)

Q41: =NPV(O41, $O$4:$O$38)

 

The NPVs of -8.61E-04 and 5.63E-04 are sufficiently close to zero, IMHO.

","body@stringLength":"2562","rawBody":"

  wrote: ``35 cash flows is correct(a1:a35), but unfortunately, an error appears after entering the formula(as the attach excel file)``

Amazing what a little detail will reveal!  Please keep that in mind for all future questions.

Refer to the image below, and see the attached Excel file for details.

 

 

In general, when Excel IRR returns #NUM and there is nothing wrong with the data, we need to provide a \"guess\" (optional second parameter) in order to the Excel algorithm.

 

Unfortunately, there is no \"good\" way to choose a good guess.

 

The NPV curve in columns S:T suggests that there might be IRRs between -10% and -5% and between -5% and 0%, since the NPV changes signs in T23:T25.

 

In fact, Solver (not shown) finds IRRs at about -5.1703457688% and -0.486775222%.

 

Nevertheless, Excel IRR cannot find those IRR, even with a good \"guess\".

 

There are several factors that might contribute to that \"failure\".

 

The major factor seems to be the magnitude of the cash flows, which is extremely large.

 

With integer parts of 10 to 13 digits, they are already near the limits of 64-bit binary floating-point precision.

 

If we scale the cash flows down by 1E+06 (1 million), Excel IRR has no problem finding the IRRs with very little loss in precision relatively.

 

The IRR formulas are:

O40: =IRR(O4:O38/1000000)

O41: =IRR(O4:O38/1000000, -10%)

 

To confirm the results, the NPV formulas are:

Q40: =NPV(O40, $O$4:$O$38)

Q41: =NPV(O41, $O$4:$O$38)

 

The NPVs of -8.61E-04 and 5.63E-04 are sufficiently close to zero, IMHO.

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hasan ahmed 

\n

IRR requires at least one negative value (as initial cost of business), see at https://support.office.com/en-us/article/IRR-function-64925EAA-9988-495B-B290-3AD0C163C1BC

","body@stripHtml({\"removeProcessingText\":true,\"removeSpoilerMarkup\":true,\"removeTocMarkup\":true,\"truncateLength\":200})@stringLength":"196","postTime":"2019-07-13T11:33:21.495-07:00","lastPublishTime":"2019-07-13T11:33:21.495-07:00","images":{"__typename":"AssociatedImageConnection","edges":[],"totalCount":0,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"attachments":{"__typename":"AttachmentConnection","pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null},"edges":[]},"solution":true,"metrics":{"__typename":"MessageMetrics","views":36185},"placeholder":false,"originalMessageForPlaceholder":null,"videos":{"__typename":"VideoConnection","edges":[],"totalCount":0,"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"isEscalated":null,"entityType":"FORUM_REPLY","eventPath":"category:microsoft365/category:products-services/category:communities/community:gxcuf89792board:ExcelGeneral/message:753572/message:753586","customFields":[]},"Rank:rank:33":{"__typename":"Rank","id":"rank:33","position":14,"name":"Bronze Contributor","color":"333333","icon":null,"rankStyle":"TEXT"},"User:user:146717":{"__typename":"User","id":"user:146717","uid":146717,"login":"JoeUser2004","deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-4.svg?time=0"},"rank":{"__ref":"Rank:rank:33"},"email":"","messagesCount":734,"biography":null,"topicsCount":8,"kudosReceivedCount":159,"kudosGivenCount":11,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2018-05-14T02:37:07.139-07:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":104,"entityType":"USER","eventPath":"community:gxcuf89792/user:146717"},"ModerationData:moderation_data:3833781":{"__typename":"ModerationData","id":"moderation_data:3833781","status":"APPROVED","rejectReason":null,"isReportedAbuse":false,"rejectUser":null,"rejectTime":null,"rejectActorType":null},"ModerationData:moderation_data:3833454":{"__typename":"ModerationData","id":"moderation_data:3833454","status":"APPROVED","rejectReason":null},"User:user:1873734":{"__typename":"User","id":"user:1873734","login":"mah2023","uid":1873734,"deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/m_assets/avatars/default/avatar-7.svg?time=0"},"rank":{"__ref":"Rank:rank:37"},"email":"","messagesCount":8,"biography":null,"topicsCount":1,"kudosReceivedCount":1,"kudosGivenCount":4,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2023-05-23T01:44:32.484-07:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":0,"entityType":"USER","eventPath":"community:gxcuf89792/user:1873734"},"ModerationData:moderation_data:3833408":{"__typename":"ModerationData","id":"moderation_data:3833408","status":"APPROVED","rejectReason":null},"ModerationData:moderation_data:3833387":{"__typename":"ModerationData","id":"moderation_data:3833387","status":"APPROVED","rejectReason":null},"ModerationData:moderation_data:3828423":{"__typename":"ModerationData","id":"moderation_data:3828423","status":"APPROVED","rejectReason":null},"User:user:127945":{"__typename":"User","id":"user:127945","login":"HansVogelaar","uid":127945,"deleted":false,"avatar":{"__typename":"UserAvatar","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/images/dS0xMjc5NDUtMTE2NTY3aUQ3NUU5RjhBNjgyMUY3RjU"},"rank":{"__ref":"Rank:rank:5"},"email":"","messagesCount":16058,"biography":null,"topicsCount":6,"kudosReceivedCount":2765,"kudosGivenCount":169,"kudosWeight":1,"registrationData":{"__typename":"RegistrationData","status":null,"registrationTime":"2018-03-14T02:06:02.553-07:00","confirmEmailStatus":null},"followersCount":null,"solutionsCount":2930,"entityType":"USER","eventPath":"community:gxcuf89792/user:127945"},"Rank:rank:5":{"__typename":"Rank","id":"rank:5","position":7,"name":"MVP","color":"0069D4","icon":null,"rankStyle":"FILLED"},"ForumReplyMessage:message:3828423":{"__typename":"ForumReplyMessage","id":"message:3828423","revisionNum":1,"uid":3828423,"depth":3,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:753572"},"subject":"Re: Help with #NUM error in IRR formula","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3828423"},"body":"

mah2023 

\n

IRR uses an iterative algorithm to find the rate. Apparently, the iteration failed.

\n

I tried several methods using the Solver add-in to find the rate. GRG Non-Linear and Simplex LP failed. Evolutionary came close, but was still a bit off.

\n

So I set up a simulation - see the attached workbook.

\n

It shows that the NPV switches from + to - near the limit of Excel's precision. Note the repetitions in the NPV column.

\n

\n

 

\n

 

","body@stringLength":"1153","rawBody":"

 

\n

IRR uses an iterative algorithm to find the rate. Apparently, the iteration failed.

\n

I tried several methods using the Solver add-in to find the rate. GRG Non-Linear and Simplex LP failed. Evolutionary came close, but was still a bit off.

\n

So I set up a simulation - see the attached workbook.

\n

It shows that the NPV switches from + to - near the limit of Excel's precision. Note the repetitions in the NPV column.

\n

\n

 

\n

 

","author":{"__ref":"User:user:127945"},"isEscalated":null,"postTime":"2023-05-23T03:25:43.003-07:00"},"ForumReplyMessage:message:3833387":{"__typename":"ForumReplyMessage","id":"message:3833387","revisionNum":1,"uid":3833387,"depth":4,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:753572"},"subject":"Re: Help with #NUM error in IRR formula","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3833387"},"body":"

HansVogelaar 

so what should I do?

","body@stringLength":"245","rawBody":"

 

so what should I do?

","author":{"__ref":"User:user:1873734"},"isEscalated":null,"postTime":"2023-05-28T21:58:42.250-07:00","parent":{"__ref":"ForumReplyMessage:message:3828423"}},"ForumReplyMessage:message:3833408":{"__typename":"ForumReplyMessage","id":"message:3833408","revisionNum":2,"uid":3833408,"depth":5,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:753572"},"subject":"Re: Help with #NUM error in IRR formula","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3833408"},"body":"

mah2023  wrote:  ``what should I do?``

 

First, you should take a critical look at the Excel file that HansVogelaar provides to be sure that he understood your cash flows correctly.

 

In particular, he considers only the first 33 cash flows that you numbered in your question to Sergei Baklan.

 

But in your question to hasan ahmed, you have 35 numbered cash flows.

 

Nevertheless, if we enter the additional cash flows into A34:A35 and calculate =IRR(A1:A35), the formula has no problem returning -0.486775222080371%, even without a \"guess\" parameter.

 

So....

 

-----

Second, you should present the data in a spreadsheet.

 

Ideally, attach an Excel file that demonstrates the problem.

 

Alternatively, provide a link to the Excel file that you uploaded to a file-sharing website that does not require that we log in to download the file.

 

The devil might be in details that we cannot see in the text that posted.

 

And most importantly, you should show us the formula that returns a #NUM error.

 

Is it truly =IRR(A1:A33), as HansVogelaar assumes, tacitly?

 

Or is it =IRR(A1:A35), as I assume?  (If so, the data is not as it appears in your postings.)

 

Or is it something else entirely?

","body@stringLength":"2150","rawBody":"

  wrote:  ``what should I do?``

 

First, you should take a critical look at the Excel file that provides to be sure that he understood your cash flows correctly.

 

In particular, he considers only the first 33 cash flows that you numbered in your question to Sergei Baklan.

 

But in your question to hasan ahmed, you have 35 numbered cash flows.

 

Nevertheless, if we enter the additional cash flows into A34:A35 and calculate =IRR(A1:A35), the formula has no problem returning -0.486775222080371%, even without a \"guess\" parameter.

 

So....

 

-----

Second, you should present the data in a spreadsheet.

 

Ideally, attach an Excel file that demonstrates the problem.

 

Alternatively, provide a link to the Excel file that you uploaded to a file-sharing website that does not require that we log in to download the file.

 

The devil might be in details that we cannot see in the text that posted.

 

And most importantly, you should show us the formula that returns a #NUM error.

 

Is it truly =IRR(A1:A33), as assumes, tacitly?

 

Or is it =IRR(A1:A35), as I assume?  (If so, the data is not as it appears in your postings.)

 

Or is it something else entirely?

","author":{"__ref":"User:user:146717"},"isEscalated":null,"postTime":"2023-05-28T23:28:08.168-07:00","parent":{"__ref":"ForumReplyMessage:message:3833387"}},"ForumReplyMessage:message:3833454":{"__typename":"ForumReplyMessage","id":"message:3833454","revisionNum":4,"uid":3833454,"depth":6,"hasGivenKudo":false,"subscribed":false,"board":{"__ref":"Forum:board:ExcelGeneral"},"conversation":{"__ref":"Conversation:conversation:753572"},"subject":"Re: Help with #NUM error in IRR formula","readOnly":false,"editFrozen":false,"moderationData":{"__ref":"ModerationData:moderation_data:3833454"},"body":"

JoeUser2004

 35 cash flows is correct(a1:a35), but unfortunately, an error appears after entering the formula(as the attach excel file) .

","body@stringLength":"419","rawBody":"

 35 cash flows is correct(a1:a35), but unfortunately, an error appears after entering the formula(as the attach excel file) .

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HansVogelaar  wrote:  ``As @Joe User has explained very patiently [....]``

 

Thanks.  I tried to be.

 

HansVogelaar  wrote:  ``exceed the limit of what Excel's 64-bit floating point engine can handle``

 

I amended my explanation later.  Such large values strain the limits of 64BFP precision.

 

Of course, 64BFP \"can handle\" much larger values, up to about 1.8E+308.

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JoeUser2004 

\n

OK, thanks for the correction.

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mah2023 

\n

As JoeUser2004 has explained very patiently, the cash flows are so large that the calculations involved approach or even exceed the limit of what Excel's 64-bit floating point engine can handle.

\n

By dividing the values by 1000000, they become smaller, making the calculation manageable. And since all values are reduced in proportion, the result is valid for the original numbers too.

\n

By the way, it does not have to be 1000000. 10 would have worked too, but 1000000 is safer.

\n

See the attached workbook.

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JoeUser2004 

hi- Thank you for your explanation

Information : Excel 2016 -device: pc (desktop)-  File: It is the same as the initial file.

I know the basics of working with Excel, such as formatting and... (wink).

My main question: When I enter the yield formula into the cell it gives NUM error. Why should I reduce the unit (divide by 1,000,000) when the cash flow amounts are the same numbers? (see attach file- sheet IRR2)

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mah2023  wrote:  ``why does my Excel not show the negative number and gives an error?``

mah2023wrote:  ``Is there a problem with my Excel settings?``

 

It seems that you still have not learned from past mistakes, namely:  \"with great details come great answers\", to paraphrase Uncle Ben's advice to Spider-Man. (wink)

 

You say that Excel does \"not show the negative number\", and it still \"gives an error\".

 

Again, attach an Excel that demonstrates those problems.

 

What is your formula(s)?  What is the data, if not the same as before?

 

Exactly what does Excel display?  Show us a screenshot, or attach a JPG file with a screenshot.

 

Using your previous Excel file attachment, when I enter the formula =IRR(O4:O38/1000000) into O40 and =IRR(O4:O38/1000000, -10%) into O41, as I suggested, this is what I see:

 

 

I changed the format for O4:O38 to display 2 decimal places and to separate 1000s with commas.

 

(Aside.... Many of the values in O4:O38 have more than 2 decimal places, up to 5 decimal places.  And all of the values have what I call \"floating-point residuals\":  additional precision beyond 15 significant digits, which Excel does not format.)

 

The point is:  I do not see any Excel error.

 

Instead, O40 displays red 0.00, and O41 displays red (0), even though the cell values are negative.

 

That is because of the cell formats:  0.00;[Red]0.00 for O40, and 0_);[Red](0) for O41.

 

Change the formats to Percentage with 2 decimal places to see the negative cell values (rounded), namely -0.49% in O40 and -5.17% in O41.

 

Increase the number of decimal places (up to 15) to see the greater precision of the cell values.

 

-----

If that does not answer your question, follow all of the instructions above to improve our understanding of the problem(s).

 

If you need instruction on how to set the cell format, I'm afraid that varies for different versions of Excel.

 

So, let us know what version of Excel you are using, and on what device (desktop, laptop, tablet, smartphone, etc).

 

For my version of Excel, I can select the cell(s), right-click, click Format Cells and the Number tab, then select the desired format.

 

Alternatively, I can select a limited set of format options from the Home \"ribbon\".

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According to your explanation, this cash flow has a negative IRR. So why does my Excel not show the negative number and gives an error?","body@stripHtml({\"removeProcessingText\":false,\"removeSpoilerMarkup\":false,\"removeTocMarkup\":false,\"truncateLength\":200})@stringLength":"146","kudosSumWeight":0,"postTime":"2023-05-29T20:56:39.590-07:00","lastPublishTime":"2023-05-29T20:56:39.590-07:00","metrics":{"__typename":"MessageMetrics","views":24701},"visibilityScope":"PUBLIC","placeholder":false,"originalMessageForPlaceholder":null,"isEscalated":null,"solution":false,"entityType":"FORUM_REPLY","eventPath":"category:microsoft365/category:products-services/category:communities/community:gxcuf89792board:ExcelGeneral/message:753572/message:3833946","repliesCount":0,"attachments":{"__typename":"AttachmentConnection","edges":[],"pageInfo":{"__typename":"PageInfo","hasNextPage":false,"endCursor":null,"hasPreviousPage":false,"startCursor":null}},"customFields":[]},"Attachment:{\"id\":\"attachment:message3833454AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193221/1/error.xlsx\"}":{"__typename":"Attachment","id":"attachment:message3833454AttachmentNumber1","filename":"error.xlsx","filesize":12469,"contentType":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193221/1/error.xlsx"},"CachedAsset:text:en_US-components/tags/TagView/TagViewChip-1745505309750":{"__typename":"CachedAsset","id":"text:en_US-components/tags/TagView/TagViewChip-1745505309750","value":{"tagLabelName":"Tag name {tagName}"},"localOverride":false},"Attachment:{\"id\":\"attachment:message3834175AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193299/1/irr%20%23num(3).xlsx\"}":{"__typename":"Attachment","id":"attachment:message3834175AttachmentNumber1","filename":"irr #num(3).xlsx","filesize":16144,"contentType":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193299/1/irr%20%23num(3).xlsx"},"Attachment:{\"id\":\"attachment:message3834192AttachmentNumber1\",\"url\":\"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193303/1/irr%20%23num(3).xlsx\"}":{"__typename":"Attachment","id":"attachment:message3834192AttachmentNumber1","filename":"irr #num(3).xlsx","filesize":16296,"contentType":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","url":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/attachments/gxcuf89792/ExcelGeneral/193303/1/irr%20%23num(3).xlsx"},"CachedAsset:text:en_US-shared/client/components/common/ApolloErrorAlert-1745505309750":{"__typename":"CachedAsset","id":"text:en_US-shared/client/components/common/ApolloErrorAlert-1745505309750","value":{"title":"GraphQL Errors:"},"localOverride":false}}}},"page":"/forums/ForumMessagePage/ForumMessagePage","query":{"boardId":"excelgeneral","messageSubject":"help-with-num-error-in-irr-formula","messageId":"753572","replyId":"3833781"},"buildId":"HEhyUrv5OXNBIbfCLaOrw","runtimeConfig":{"buildInformationVisible":false,"logLevelApp":"info","logLevelMetrics":"info","openTelemetryClientEnabled":false,"openTelemetryConfigName":"o365","openTelemetryServiceVersion":"25.1.0","openTelemetryUniverse":"prod","openTelemetryCollector":"http://localhost:4318","openTelemetryRouteChangeAllowedTime":"5000","apolloDevToolsEnabled":false,"inboxMuteWipFeatureEnabled":false},"isFallback":false,"isExperimentalCompile":false,"dynamicIds":["./components/seo/QAPageSchema/QAPageSchema.tsx","./components/community/Navbar/NavbarWidget.tsx","./components/community/Breadcrumb/BreadcrumbWidget.tsx","./components/customComponent/CustomComponent/CustomComponent.tsx","./components/messages/TopicWithThreadedReplyListWidget/TopicWithThreadedReplyListWidget.tsx","./components/external/components/ExternalComponent.tsx","./components/messages/MessageView/MessageViewStandard/MessageViewStandard.tsx","../shared/client/components/common/List/UnwrappedList/UnwrappedList.tsx","./components/attachments/AttachmentView/AttachmentView.tsx","./components/attachments/AttachmentView/AttachmentViewChip/AttachmentViewChip.tsx","../shared/client/components/common/List/UnstyledList/UnstyledList.tsx","./components/messages/MessageView/MessageView.tsx","./components/tags/TagView/TagView.tsx","./components/tags/TagView/TagViewChip/TagViewChip.tsx"],"appGip":true,"scriptLoader":[{"id":"analytics","src":"https://techcommunity.microsoft.com/t5/s/gxcuf89792/pagescripts/1730819800000/analytics.js?page.id=ForumReplyPage&entity.id=board%3Aexcelgeneral&entity.id=message%3A3833781","strategy":"afterInteractive"}]}