True or false? If it is true, please justify why it is true statement. If it is false, please explain. exactly why it is false.

a. A portfolio comprises two stocks, A and B, with equal amounts of money invested in each at the beginning. If stock A's stock price increases and that of stock B decreases, the weight of stock A in the portfolio will increase.

b. The IRR rule can be applied when evaluating two mutually exclusive projects: after calculation their IRRs, the project with highest IRR should be selected.

c. If an investor with $400,000 to invest puts $100,000 in S&P 500 index fund and $300,000 in Treasury Bills, her portfolio beta will be 0.25.

d. The growing perpetuitys present formula is PV=C/(r-g). Thus, if the cash flows growth rate g is above the discount rate r, this growing perpetuitys present value will be negative.

e. Facing the following 2 choices: (i) A risky $8,000 investment with 50% of the chance receive nothing and 50% receive $20,000, or, ii), an $8,000 investment with a payoff of $10,000 for sure, a rational investor prefers (i) rather than (ii).