Mid-year DCF

I understand for mid-year convention in a DCF, you would use 0.5 for year 1, 1.5 for year 2, etc. (Cash flow is in the middle of the year, instead of at the end of the year)

But what does it mean for there to be a "stub period"?
i.e. if the stub period is Q4 of year 1 - what does this mean? And how would you calculate discount periods with stub?

Thanks.

Stub Period DCF

Below is an explanation for valuation in a stub stub period. You can also find an example of a mid year DCF lbo/stub"> here.

from @Nelly

Calculation is pretty straight forward. For the stub period, you adjust the cash flow and assume that it is received during the middle of the stub period. For all full future periods, cash is assumed to flow during the middle of the fiscal period. This must be adjusted based on the valuation date of your DCF.

All examples assume a 30/360 days convention for simplicity.

Ex.1: Valuation date of 12/30/13; 12/30/13 FYE w/o mid-year convention
FY2014 - Discount period = 1.000
FY2015 - Discount period = 2.000
FY2016 - Discount period = 3.000
etc.

Ex.2: Valuation date of 12/30/13; 12/30/13 FYE w/ mid-year convention
FY2014 - Discount period = 0.500
FY2015 - Discount period = 1.500
FY2016 - Discount period = 2.500
etc.

Ex.3: Valuation date of 9/30/13; 12/30/13 FYE w/ mid-year convention (Q4 = stub)
FY2013 (Q4) - Discount period = (0.000 + 0.250) / 2 = 0.125
FY2014 - Discount period = (1.000 + 0.250) - 0.500 = 0.750
FY2015 - Discount Period = (2.000 + 0.250) - 0.500 = 1.750
etc.

In terms of excel, you can typically use the following, with "midyear" serving as a mid-year convention toggle:
"=IF(midyear, MAX(YEARFRAC(start date, period date,1)-0.5, YEARFRAC(start date, period date,1)/2), YEARFRAC(start date, period date,1)"

Should help answer your question.


Recommended Reading

Want to be a top analyst? Hone your financial modeling skills and make the top bucket every year. Click the button now to start your training.

Hi Anonymous Monkey, upload your resume and land a job

Members that upload a resume get 2.3x the number of interview invites through the Talent Oasis. Learn more.

Comments (7)

Aug 31, 2011

I'm not sure I totally understand what you're asking, but I think what you mean is the fact that if, for example, AT&T buys T-Mobile and the deal closes on 9/30/11, AT&T should only get credit for the last quarter's earnings and cash flow - everything prior to that is attributable to T-Mobile shareholders. So when you run the DCF, only that last quarter of FCF should be counted when valuing the acquired T-Mobile.

Certified Corporate Development Pro - Learn more.
Learn More

7,548 questions across 469 investment banks. The WSO Investment Banking Interview Prep Course has everything you'll ever need to start your career on Wall Street. Technical, Behavioral and Networking Courses + 2 Bonus Modules. Learn more.

Aug 31, 2011

here's your answer:

http://macabacus.com/lbo-model/stub-period
Stub period = partial period.

So, if I model out the Q4 of 2011 and the deal actually closes on Oct 31, 2011, the the stub period is 2/3rds of the quarter.

One formula that might be useful is the "yearfrac" formula when you encounter stub periods.

Aug 31, 2011

I guess I'm more confused on what this question is asking: "What discount period numbers would I use for the mid-year convention if I have a stub period (Q4 of year 1) in my DCF?"

Going along with MittRomney, does this just mean there is a period of 1 quarter (3 months) between when the deal closes and the next fiscal year?

Thanks.

Sep 6, 2011

Did this on a fairness opinion recently. Believe you use .25, 1.25, 2.25 etc for your discounting periods - so basically just an adjusted midyear convention.

Feb 28, 2014

Partial Period Adjustment = YearFrac[12/31/X, Start date, 1]

Best Response
Mar 6, 2014

Calculation is pretty straight forward. For the stub period, you adjust the cash flow and assume that it is received during the middle of the stub period. For all full future periods, cash is assumed to flow during the middle of the fiscal period. This must be adjusted based on the valuation date of your DCF.

All examples assume a 30/360 days convention for simplicity.

Ex.1: Valuation date of 12/30/13; 12/30/13 FYE w/o mid-year convention
FY2014 - Discount period = 1.000
FY2015 - Discount period = 2.000
FY2016 - Discount period = 3.000
etc.

Ex.2: Valuation date of 12/30/13; 12/30/13 FYE w/ mid-year convention
FY2014 - Discount period = 0.500
FY2015 - Discount period = 1.500
FY2016 - Discount period = 2.500
etc.

Ex.3: Valuation date of 9/30/13; 12/30/13 FYE w/ mid-year convention (Q4 = stub)
FY2013 (Q4) - Discount period = (0.000 + 0.250) / 2 = 0.125
FY2014 - Discount period = (1.000 + 0.250) - 0.500 = 0.750
FY2015 - Discount Period = (2.000 + 0.250) - 0.500 = 1.750
etc.

In terms of excel, you can typically use the following, with "midyear" serving as a mid-year convention toggle:
"=IF(midyear, MAX(YEARFRAC(start date, period date,1)-0.5, YEARFRAC(start date, period date,1)/2), YEARFRAC(start date, period date,1)"

Should help answer your question.

    • 6
Dec 30, 2014

1-Click to Unlock All Comments - 100% FREE

Why do I need to be signed in?
WSO is a knowledge-sharing community that depends on everyone being able to pitch in when they know something.
+ Bonus: 6 Free Financial Modeling Lessons with 1-Click Signup ($199 value)

LA Bull