You start with £100. We play a game where a fair coin is flipped 10 times. Each time, if the coin is heads, £1 is added to your current total. If the coin is tails, your sum is inverted, meaning if you have £x, it becomes £(1/x). For example, £100 becomes £0.01, £0.5 becomes £2, etc. What is the expected amount of money you will have after 10 consecutive coin flips?