Question 1193369
**1.1. Timeline**

The timeline for Mr. Farmer's loan payments is as follows:

* 0 months: Loan Disbursement
* 6 months: Payment of R10000 due (missed)
* 12 months: Payment of R20000 due (missed)
* 18 months: Payment of R50000 made
* 24 months: Payment of R40000 due
* 36 months: Single payment due

**1.2. Single Payment Calculation**

To calculate the single payment Mr. Farmer needs to make in two years (36 months) to settle his debt, we need to consider the following:

* **Accumulated debt at 18 months:** This includes the missed payments, interest on those missed payments, and the remaining loan balance after the R50000 down payment.
* **Future value of the accumulated debt at 36 months:** We need to factor in the interest that will accrue on the accumulated debt over the additional 18 months.
* **Future value of the R40000 payment at 36 months:** The R40000 payment is also due in two years, so we need to calculate its future value considering the interest.
* **Single payment:** The sum of the future value of the accumulated debt and the future value of the R40000 payment will be the total amount Mr. Farmer needs to pay.

**Calculations:**

* Let's assume a simple interest rate of 17%.
* **Payment 1 Interest:** 10000 Rand * (17% interest rate) * (18 months / 12 months) = 2850 Rand
* **Payment 2 Interest:** 20000 Rand * (17% interest rate) * (12 months / 12 months) = 3400 Rand
* **Accumulated debt at 18 months:** 10000 Rand (original payment) + 2850 Rand (interest on payment 1) + 20000 Rand (original payment 2) + 3400 Rand (interest on payment 2) - 50000 Rand (down payment) = -14050 Rand (negative value indicates Mr. Farmer still owes money)
* **Future value of accumulated debt at 36 months:** -14050 Rand * (1 + 17% interest rate * (18 months / 12 months)) = -17632.75 Rand
* **Future value of R40000 payment at 36 months:** 40000 Rand * (1 + 17% interest rate * (12 months / 12 months)) = 46800.00 Rand
* **Single payment due at 36 months:** -17632.75 Rand + 46800.00 Rand = 29167.25 Rand

**Answer:**

Therefore, Mr. Farmer needs to make a single payment of R29167.25 in two years (36 months) to settle his debt. This amount considers the accumulated debt, interest on missed payments, and the future value of the R40000 payment due at that time.