Q:

Exequiel wants to rent his apartment and in the lease he indicates to his tenant that the value would increase by 5% each year from the date of the contract. After two years, he receives $458,070 in rent. What was the rental value at the beginning of the contract?

Accepted Solution

A:
Let's denote the initial rental value as "R". According to the lease agreement, the value would increase by 5% each year. So, after the first year, the rental value would be 1.05 * R, and after the second year, it would be (1.05 * R) * 1.05 = 1.05^2 * R. After two years, Exequiel received $458,070 in rent, which is equal to the rental value after two years: 1.05^2 * R = $458,070 Now, we can solve for the initial rental value "R": R = $458,070 / (1.05^2) Calculating this: R = $458,070 / 1.1025 R β‰ˆ $415,000 So, the initial rental value at the beginning of the contract was approximately $415,000.