An FI purchases a $9.982 million pool of commercial loans at par. The loans have an interest rate of 8 percent, a maturity of five years, and annual payments of principal and interest that will exactly amortize the loan at maturity. What is the duration of this asset?

A. 2.122822 years.

B. 3.072837 years.

C. 3.528992 years.

D. 2.846472 years.

E. 5.000000 years.