Discounting cash flows back to 2015--use mid-year discounting?

Hey all, quick question about DCF valuation. If you're valuing a company right now (mid-2015), do you discount cash flows back to 2015, or do you account for the fact that it's the middle of the year? In other words, should you discount back to 2015.5?

Thank you all in advance!

 

Right now I'm looking to see what the company is worth tomorrow, which is why I'd think to use mid-year discounting--what's the appropriate way to approach this?

"True humility is not thinking less of yourself; it is thinking of yourself less."
 

If you're valuing a company using a DCF and not using a mid-year convention, you effectively are saying that all cash flows are received at the end of the year. Also, you are understating the value of the company (assuming free cash flow is positive).

As we all know, a dollar of cash flow earned on 1/1/16 is more valuable than a dollar of cash flow earned on 12/31/16. Because we don't know exactly when every dollar is earned during the year, we use the mid-year convention (e.g. 6/30/16) instead of year-end, which effectively allows you to assume that free cash flow is generated equally throughout the year.

 

Valuation Date: 3/31/16

5-Year Projections Period 1: 12/31/16 Period 2: 12/31/17 Period 3: 12/31/18 Period 4: 12/31/19 Period 5: 12/31/20 Period 6 (stub): 3/31/21

Should the discount period for CF1 equal 0.25?

Formula is: (12/31/16-3/31/16)/365-0.5 = 0.25

Period 1 = 0.25 2 = 1.25 3 = 2.25 4 = 3.25 5 = 4.26 6 = 4.50

And the Residual Value in Terminal Year I'm using a discount period of 5.0.

Is this correctly calculating the mid-year discount period?

Thanks!

 

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