Bryn takes out a loan of £800. It gains compound interest at a rate of 28% per year. How much money will Bryn owe after 14 years? Give your answers in pounds to the nearest 1p.

Step 1: Identify the given values. The principal amount is $P = \pounds 800$. The annual interest rate is $r = 28\% = 0.28$. The time period is $t = 14$ years.

Step 2: Use the compound interest formula. The formula for compound interest is $A = P(1 + r)^t$, where $A$ is the final amount, $P$ is the principal, $r$ is the annual interest rate, and $t$ is the number of years.

Step 3: Substitute the values into the formula and calculate. $A = 800(1 + 0.28)^{14}$ $A = 800(1.28)^{14}$ $A = 800 \times 29.0754086...$ $A = 23260.32688...$

Step 4: Round the answer to the nearest 1p (two decimal places). $A \approx \pounds 23260.33$

The amount Bryn will owe after 14 years is: $\boxed{\pounds 23260.33}$