Today is August $1,2006.$ David Dallaire has just been drafted by the Toronto Raptors. He will be earning $$2,000,000$ for $2006,$ $$3,000,000$ per year from $2007$ to $2010,$ $$8,000,000$ per year from $2011$ to $2014,$ $$6,000,000$ per year from $2015$ to $2018,$ $$4,000,000$ for $2019,$ $$3,000,000$ for $2020.$ Assume all payments are made on December $31$; therefore first payment will be on December $31,2006.$ Assume the discount rate of $9\mathrm{.}6455\%$ per year compounded quarterly.

a$.$ Determine the present value of the above payments on August $1,2006.$

b$.$ If he were to receive an equal annual salary at the end of each of the year $2006$ to $2020$ then what would that salary be$?$ Assume the first payment is on Dec $31,2006.$