Alex expects to incur personal costs of $$3,800$ in Year $1,$ and $$4,300,$$$5,200$ and $$4,600$ in costs over the following three years, respectively. What is the present

value of these costs at $7$ percent?

$$14,075\mathrm{.}94$

$$16,115\mathrm{.}54$

$$15,061\mathrm{.}26$

$$15,876\mathrm{.}45$