John just bought a $10$ year ordinary annuity of R$5200$ per year from standard bank at an interest rate of $10\%$ per year. What happens to the value of the annuity if the interest rates increase to $15\%?$

A$.$ it remains the same

B$.$ it decreases to R$26097\mathrm{.}60$

C$.$ it increases to R$40153\mathrm{.}52$

D$.$ It decreases to R$31951\mathrm{.}75$