Question

Example 31: S borrows 5,00,000 to buy a house. If he pays equal instalments for 20 years

and 10% interest on outstanding balance what will be the equal annual instalment?
Solution: We know​

Answer 1

$58.729

Step-by-step explanation:

To find the answer, we need to use the present value of an annuity formula.

The formula is:

P = X [(1 - (1 + i)^-n) / i ]

Where X is the annual instalment

P is the present value of the investment (500,000 in this case)(

i is the interest rate (10% in this case)

and n is the number of periods (20 years in this case)

We now plug the amounts into the formula:

500,000 = X [ (1 - (1 + 0.10)^-20) / 0.10 ]

500,000 = X [8.51356]

500,000 / 8.51356 = X

58,729 = X

So the value of the equal annual instalment will be $58.729