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## Transcript

a new car

1

**2**

**3**

**4**

The first payment is 5.386,22€

The bank offers 37 payments of 213€ at a simple interest of 7,5%.

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

1

**2**

**3**

**4**

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

1

**2**

**3**

**4**

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€

Numericus has 2.500€ on an account that gives him 1,7% compound interest. Will he have enough money for the last payment after 37 months?

Cf = 2500 · (1 + 1,7 : 100)³⁷ = 2500 · (1+0,017)³⁷ = 2500 · 1,017³⁷ = 2500 · 1,87 = 4675€

1

**2**

**3**

**4**

The first payment is 5.386,22€

There are 37 payments of 213€. The bank offers a finance at a simple interest of 0,5% .

37 · 213 = 7881 money we must return

At the end we will pay:

Cf = 7881 · (1 + (0,5 · 37 : 100))

Cf = 7881 · (1 + 0,185)

Cf = 7881 · 1,185

Cf = 9.338,99€

The last payment is 19.424,04€