Seamus and Rodney each win the lottery. Both are offered the same two options, a fixed annuity payment for 15 years or a single lump sum payment today. Rodney chooses the annuity, while Seamus chooses the single lump sum payment. If both chose the option with the highest present value, what must be true about Seamus and Rodney's required returns? Rodney required return Seamus required return Portia received a $1,000 savings bond from her grandparents when she turned 10. The bond matures when she turns 25, meaning Portia will receive $1,000 cash when she turns 25. Portia is currently 18 years old. Assuming a negative cost of capital, what is the minimum price that Portia would be willing to sell the bond for today? Price - $1,000 Price - $0 Price $1.000 Assume there is an annuity with four payments, with the first payment occurring one year from now. Each payment is $1,000 Currently the PV of this annuity is $3,250. All else equal, if the annuity payments are made one year earlier (the first payment is today), what will happen to the PV of the annuity today? PV will not change PV will increase PV will decrease