Question 1193311
**1.1. Timeline**

Here's a simple representation of the timeline:

* **0 months:** Loan Disbursement
* **6 months:** Payment of R10,000 due (missed)
* **12 months:** Payment of R20,000 due (missed)
* **18 months:** Down payment of R50,000 made
* **24 months:** Payment of R40,000 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 R50,000 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 R40,000 payment at 36 months:** The R40,000 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 R40,000 payment will be the total amount Mr. Farmer needs to pay.

**Calculations:**

* **Payment 1 Interest:** 10,000 Rand * (17% interest rate) * (18 months / 12 months) = 2,550 Rand
* **Payment 2 Interest:** 20,000 Rand * (17% interest rate) * (12 months / 12 months) = 3,400 Rand
* **Accumulated debt at 18 months:** 10,000 Rand (original payment) + 2,550 Rand (interest on payment 1) + 20,000 Rand (original payment 2) + 3,400 Rand (interest on payment 2) - 50,000 Rand (down payment) = -14,050 Rand (negative value indicates Mr. Farmer still owes money)
* **Future value of accumulated debt at 36 months:** -14,050 Rand * (1 + 17% interest rate * (18 months / 12 months)) = -17,632.75 Rand
* **Future value of R40,000 payment at 36 months:** 40,000 Rand * (1 + 17% interest rate * (12 months / 12 months)) = 46,800.00 Rand
* **Single payment due at 36 months:** -17,632.75 Rand + 46,800.00 Rand = 29,167.25 Rand

**Therefore:**

Mr. Farmer needs to make a single payment of **R29,167.25** 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 R40,000 payment due at that time.