What is the criteria to pick the Risk free rate?

I screwed up an interview when they asked me to go trough a DCF model. When I was explaining them how to calculate the Cost of Equity using the CAPM, they asked me 2 questions that I did not expect. 

- Why do bankers pick the yield of a 10-years treasury bond instead of a 20-year bond or a 5 year bond?

- Which yield do they pick? The current yield, or the average yield for the past 50 weeks?

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