Here’s a real example of an MB PCP.
Car costs £22,103.94
Deposit: - £3241
Balance financed: - £18862.94
Add finance charge on the balance financed (include £180 admin fee and £95 option to purchase fee) £2,472.06
Balance payable £21,335.00
Total Amount Payable £24,576
On Wizengs formula Total payment/Amount borrowed equals 1.3028
And the cube root of that (“1/number of years”) is 1.092 which gives an APR of 9.2%
However the correct APR is 5.8%
If we knock out the deposit and modify the formula to read Balance Payable/ Balance Financed we get 1.131 and the cube root of that is 1.042 giving an APR of 4.2%. That would be correct if we did not have to make monthly payments etc, but instead made the loan repayable in one single large payment at the end of 3 years.
But in practice we pay monthly right from the start of the agreement and the true APR is 5.8%