New allocation of his inheritance , Financial Econometrics

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Adding a Riskless Cash Fund: Assume now that a riskless cash fund P0 is also available to invest in. The risk free rate is 0.05 for both lending & borrowing. Obtain Pythagoras's new allocation of his inheritance to the (now) six funds. Verify clearly Pythagoras's investment in the riskless cash fund and explain in detail the tangency portfolio.

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