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Anna's daughter will be attending college in 5 years. Assume current tuition and fees are $43,118, and inflation for college costs averages 5.6 percent. Anna can earn 2.5 percent on the money she invests for this purpose. Anna wants to know how much she will need to set aside today to pay for four years of tuition and fees. What is the amount Anna needs to set aside today?

User Iank
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Final answer:

To calculate the amount Anna needs to set aside today, we can use the present value formula. Assuming Anna's daughter will be attending college in 5 years and the inflation for college costs averages 5.6 percent, the present value can be calculated by dividing the future value by (1 + interest rate)^n, where the interest rate is 2.5 percent.

Step-by-step explanation:

To calculate the amount Anna needs to set aside today, we can use the present value formula. The present value (PV) is equal to the future value (FV) divided by (1 + r)^n, where r is the interest rate and n is the number of years. Assuming Anna's daughter will be attending college in 5 years and the inflation for college costs averages 5.6 percent, we can calculate the future value using the formula FV = current tuition and fees * (1 + inflation rate)^n. Finally, we can calculate the present value by dividing the future value by (1 + interest rate)^n, where the interest rate is 2.5 percent.

Let's plug in the values:

Current tuition and fees: $43,118

Inflation rate: 5.6%

Interest rate: 2.5%

Number of years: 4

Future value = $43,118 * (1 + 0.056)^5 ≈ $55,285.01

Present value = $55,285.01 / (1 + 0.025)^5 ≈ $45,410.07

Therefore, Anna needs to set aside approximately $45,410.07 today to pay for four years of tuition and fees.

User Ricardo Acras
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