Today is May $15,2024($year $0).$ The management of Glamhope, a private student dormitory adjacent to a large public university, wants to estimate the present value of its future rents.

Students will move in on August $15,2024.$ When they move out on May $15,2025($year $1)$ they will pay rent totaling $$7$m$.$ Departing students will also pay rent of $$7$m on May $15$ in $2026,2027,2028$ and $2029.$ In August $2029$ management will raise rent, yielding a total payment of $$8$m on May $15,2030($year $6).$ Thereafter, management will raise rent by $2\mathrm{.}5\%$ per year into perpetuity. Glamhope can earn a $6\%$ annual return on cash invested today.

What is the present value today $($year $0)$ of rents to be received in years $1$ through $5,$ in millions of dollars? $($Enter $$1,000,000$ or $$1$m as $1\mathrm{.}0000.$ Go to $4$ decimal places.$)$What is the present value $5$ years from today of rents received after year $5,$ in millions of dollars? $($Enter $$1,000,000$ or $$1$m as $1\mathrm{.}0000$ Go to $4$ decimal places.$)$ What is the present value today $($year $0)$ of all future rents, in millions of dollars? $($Enter $$1,000,000$ or $$1$m as $1\mathrm{.}0000.$ Go to $4$ decimal places.$)$