1. First, from the formula for future value (FV), algebraically derive the solution for calculating the number of periods (t) for a given set of FV, PV and r. (Hint: a derivation cannot be plagiarized). Second, pick a PV and pick a FV (here FV cannot be double the PV) and calculate the time necessary for the amount chosen for PV to equal the amount chosen for FV. Make sure that you succinctly explain what you are doing. Please show detailed work using graphs.

1. First, from the formula for future value (FV), algebraically derive the solution for calculating the number of periods (t) for a given set of FV, PV and r. (Hint: a derivation cannot be plagiarized). Second, pick a PV and pick a FV (here FV cannot be double the PV) and calculate the time necessary for the amount chosen for PV to equal the amount chosen for FV. Make sure that you succinctly explain what you are doing. Show graphs. 2. This question concerns calculating r (aka: rate of return) for a series of uneven cash flows. Let PV =$ 60,000 , CF 1=$ 9,000 , CF 2=$ 10,000 , CF3=$ 11,000 , CF4 = , FV =$ 69,000 . Your task is to find the rate of return (r) for this finite series of uneven cash flows. Make sure that you succinctly explain what you are doing. Show graphs