Final answer:
Investing in a child's education can yield significant economic gains, with an estimated 10 to 20% annual wage increase per year of education, resulting in a higher lifetime income when evaluated at a 10% rate of return.
Step-by-step explanation:
The investment in a child's education can be analyzed by considering additional income that results from higher education levels. Assuming an average wage increase of 10 to 20% per year of education, let's hypothesize that investing in your child's education leads them to earn 15% more annually over someone without such investment. If they start earning this additional income at age 25 and continue until retirement at 65, using a 10% rate of return to evaluate this project would require discounting these additional earnings back to the present value to assess the investment's worthiness.
For instance, saving $3,000 in a diversified stock portfolio at a 7% real annual rate of return, which is 7% above inflation, results in a substantial growth over 40 years. The formula for compound interest indicates that the initial $3,000 investment would grow to $44,923 in 40 years: 3,000(1+.07)40 = $44,923.