When Marilyn Monroe died, ex$-$husband Joe DiMaggio vowed to place fresh flowers on her grave every Sunday as long as he lived. The week after she died in $1962,$ a bunch of fresh flowers that the former baseball player thought appropriate for the star cost about $$3.$ Based on actuarial tables, "Joltin' Joe" could expect to live for $29$ years after the actress died. Assume that the EAR is $11\mathrm{.}4$ percent. Also, assume that the price of the flowers will increase at $4\mathrm{.}8$ percent per year, when expressed as an EAR. Assuming that each year has exactly $52$ weeks, what is the present value of this commitment? Joe began purchasing flowers the week after Marilyn died.

Multiple Choice

$$2,181\mathrm{.}53$

$$2,117\mathrm{.}99$

$$2,054\mathrm{.}45$

$$2,223\mathrm{.}89$

$$2,012\mathrm{.}09$