Asked by Timofei Bolshev on May 01, 2024

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What is the rate of return on an investment if you lend $1,000 and are repaid $1,254.70 two years later?

A) 12%
B) 25%
C) 6%
D) 18%
E) 4%

Rate of Return

The gain or loss on an investment over a specified period, expressed as a percentage of the investment's initial cost.

Investment

Assets or items acquired with the goal of generating income or appreciation in the future.

  • Calculate and interpret the rate of return on investments.
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JT
Jessica TingueMay 02, 2024
Final Answer :
A
Explanation :
The rate of return can be calculated using the formula for compound interest: A = P(1 + r)^n, where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, and n is the time the money is invested for in years. Rearranging the formula to solve for r gives us r = [(A/P)^(1/n)] - 1. Substituting the given values (A = $1,254.70, P = $1,000, n = 2 years) gives us r = [(1254.70/1000)^(1/2)] - 1 = 0.12, or 12%.