Pricing of a loan from a Commercial Bank: Part 4

2019-08-06T11:59:15+00:00August 6th, 2019|News|

Banks contribute positively to society by enabling simple, safe and efficient management of money, writes Pierre Venter. This is the fourth of a six-part series over successive days.

Quick expected loss calculation example

The client defaults with a balance of R400 000. The Client’s PD was 5% (over 12 Months) and the expected LGD through previous experience is 20%. Thus, the expected loss is R400 000 x 5% x 20%, which is R4 000. Therefore, when modelling, a bank will need to account for the fact that for this deal they may lose R4 000. All deals are modelled on an individual basis and such a loss will depend on the PD and LGD for that specific client or deal.

Pricing is therefore done on the basis that the interest income stream is adjusted so that the hurdle rate is achieved, whilst taking the expected loss into account. Figure 3 [italics], below, shows the effect of PD and LGD on expected loss and hence the interest rate that is charged to a borrower.

Figure 3: Chart illustrating the expected loss by probability of default (PD) x loss given default (LGD).

Figure 3: Chart illustrating the expected loss by probability of default (PD) x loss given default (LGD).

Cost of funds

As discussed in an earlier part of this series, the Cost of Funds is the biggest expense when considering a loan or a mortgage loan.

Cost of Funds generally follows the Bank Repo Rate, as published by the South African Reserve Bank (SARB). If a lender cannot attract sufficient deposits or investments to cover the loans it makes, then the SARB is the lender of last resort for lenders. If a bank is sufficiently capitalised, it will cover its loans from deposits or investments held from the public, the cost of which is normally slightly lower than the SARB Repo Rate.

Cost of capital

The Banks Act, 1990 and Amendments/Regulations thereto, require banks to hold capital on each loan, which is a predefined percentage depending on risk factors and a bank’s ability to match the term of deposits or loans.

Capital holding is sloped in such a way that the higher the PD and LGD, the more capital that is required to be held. Thus, the higher the cost of capital, the higher the interest rate quoted to a customer for the bank to make its required return (hurdle rate).

Pierre Venter is the general manager, Human Settlements in Market Conduct Division at the Banking Association South Africa.