As you have asked about the loans for Master of Business Administration (MBA) program in United Kingdom (UK), I am giving you information about it, check below for the details
Career Development Loan (CDL)

The UK government’s Department for Education and Skills (DfES) facilitates the Career Development Loan (CDL) to fund MBA studies in the UK.
This loan allows a maximum funding of £10,000 for up to two years of learning, plus up to one year's practical work experience if it is part of the course.
The government pays interest while the course is on, and repayment usually starts one month after the program is completed.

Loan limits:
£300–£10,000 in £50 Increments

Eligibility
18+ years of age
Been living in the UK for a minimum of 3 years before the program begins\


Adult Dependents’ Grant

Full-time students who have an adult financially dependent on them can avail a grant of up to £2,642.
Access to Learning Fund
Students in financial hardship can benefit from this fund. The university or college decides how much money is paid.

Disabled Students' Allowances (DSAs)

The Disabled Students’ Allowance (DSA) offers allowances based on the need, for individuals who have:
Disability
Long-term health condition
Mental health condition
Specific learning difficulty such as dyslexia

Private Loans

Prodigy Finance
The company assesses students based on future earning potential, offering very competitive interest rates.
This helps students from more than 150 countries access the funds.
As of now, $30 million in loans have been disbursed to students from 80 countries, all with a 100% repayment record. The company aims to soon cover the top 100 B-schools.
The common features of the loans provided for Business Schools in the UK are:
1. No repayment up to 6 months after course completion.
2. Repayment is within 7-years after the 6-month grace period.
3. Interest starts to accrue from the date of disbursement of funds to the B-school.