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 $$6.$ Based on actuarial tables, "Joltin' Joe" could expect to live for $24$ years after the actress died. Assume that the EAR is $10\mathrm{.}4$ percent. Also, assume that the price of the flowers will increase at $3\mathrm{.}6$ 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

$$3,839\mathrm{.}39$

$$3,954\mathrm{.}57$

$$4,031\mathrm{.}36$

$$3,724\mathrm{.}21$

$$3,647\mathrm{.}42$