Norbert is looking to make a short$-$term investment for $120$ days with the $$25,000$ he just inherited from his father's estate. His options are as follows.

Compute the maturity values of each of the options and rank his choices.

a$.$ Two back$-$to$-$back $60-$day GICs earing $2\mathrm{.}25\%$ today, with a forecasted rate of $2\mathrm{.}5\%60$ days from now. Assume the full maturity value is rolled over into the next investment.

b$.$ One $120-$day GIC earning $2\mathrm{.}35\%.$

c$.$ A $90-$day $$25,000$ face value T$-$bill earning $2\mathrm{.}28\%$ followed by a $30-$day $$25,000$ face value T$-$bill earning a projected $2\mathrm{.}38\%.$ Assume any leftover funds are invested to earn $0\mathrm{.}85\%$ interest.