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David and Anisa have 35 years to retirement. They are taking a personal finance course and have calculated their projected retirement income and investment needs.

David and Anisa have 35 years to retirement. They are taking a personal finance course and have calculated their projected retirement income and investment needs. Based on their calculations and taking into account their Social Security and pension incomes, they have a projected shortfall of $6,500.00 per year.

Use the following tables to answer the questions about future value interest factors.

Interest FactorsFuture Value

Interest FactorsFuture Value of an Annuity

Periods 3.00% 5.00% 6.00% 8.00% 9.00%
20 1.810 2.653 3.210 4.661 5.600
25 2.090 3.386 4.290 6.848 8.620
30 2.420 4.322 5.740 10.062 13.260
35 2.810 5.516 7.690 14.785 20.410
40 3.260 7.040 10.280 21.724 31.410

The impact of the inflation factor

Continuing their worksheet, they consult a friend, economics professor Dr. Rosenberg, who believes that they can expect the average annual inflation rate to be 5%, possibly 6% tops.

Complete the following table by calculating inflation-adjusted annual shortfall for David and Anisa at 5%. Then recalculate the shortfall based on the top rate provided by Dr. Rosenberg.

Interest rate

Inflation-adjusted annual shortfall

(Percent)

(Dollars)

5
6

Funding the shortfall

In addition to determining a realistic inflation rate, David and Anisa talked to their financial advisor to understand rates of return now and after they reach retirement. First, their advisor projects that in 35 years, they can realistically earn 5% on their nest egg. Second, he recommends an investment vehicle that is earning 6% annually.

Complete the following table using the inflation-adjusted annual shortfall at 5% as previously calculated.

Interest rate

Description

Amount of retirement funds required

(Percent)

(Dollars)

5 Amount of retirement fund required
6 Annual savings required to fund nest egg

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