An investor purchases a Treasury Inflation Protected Security with a coupon rate of $3\mathrm{.}8\%$ and a face value of $$800,000.$ The maturity date is ten years and the rate of inflation for the first payment is $2\mathrm{.}6\%.$ The investor will expect a coupon payment closest to

Group of answer choices

a$.$ $$15,200.$

b$.$ $$15,595.$

c$.$ $$20,800.$

d$.$ $$31,190.$