The following code snippet attempts to calculate the balance of a savings account with an annual interest rate of 5% after 4 years, if it starts with a balance of $100.

```
>>> balance = 100
>>> def add_interest(balance, rate):
... balance += balance * rate / 100
...
>>> for year in range(4):
... add_interest(balance, 5)
... print('Balance after year {}: ${:.2f}'.format(year+1, balance))
...
Balance after year 1: $100.00
Balance after year 2: $100.00
Balance after year 3: $100.00
Balance after year 4: $100.00
```

Explain why this doesn't work and provide a working alternative.

The problem is within the `add_interest`

function:

```
def add_interest(balance, rate):
balance += balance * rate / 100
```

This creates a new `float`

object, `balance`

, *local* to the function, which is independent of the original `balance`

object. When the function exits, the local `balance`

is destroyed and the original `balance`

never updated. One fix would be to `return`

the updated balance value from the function:

```
>>> balance = 100
>>> def add_interest(balance, rate):
... balance += balance * rate / 100
... return balance
...
>>> for year in range(4):
... balance = add_interest(balance, 5)
... print('Balance after year {}: ${:.2f}'.format(year+1, balance))
...
Balance after year 1: $105.00
Balance after year 2: $110.25
Balance after year 3: $115.76
Balance after year 4: $121.55
```