Question

The president of a growing engineering firm wishes to give each of 20 employees a holiday bonus. how much needs to be deposited each month for a year at a 12% nominal rate, compounded monthly, so that each employee will receive a $2,500 bonus?

Answer 1

Given that: F (Future worth) = $2,500, i (nominal interest rate) = 0.12, compounded monthly = 12 months, years of investment = 1 year, and no. of employees = 20. Compute using the annuity formula: A=Fi/(((1+i)^n)-1). Calculating i = 0.12/12 = 0.01, since it is compounded monthly. Calculating n (total number of compounding) = 1 x 12 = 12, since year of investment is equal to 1. Substituting F=2500, i=0.01 and n=12 to the annuity formula, you will get A=$197.12. Multiply by 20, you will get $3,942.44.