Determining Retirement Shortfall Yuan and Alex have 40 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 $6,750.00 per year.

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Chapter13: Capital, Interest, Entrepreneurship, And Corporate Finance
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5. Funding the nest egg shortfall
Determining Retirement Shortfall
Yuan and Alex have 40 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
$6,750.00 per year.
Use the following tables to answer the questions about future value interest factors.
Interest Factors-Future Value Interest Factors-Future Value of an Annuity
Periods 3.00% 5.00% 6.00% 8.00% 9.00%
5.600
1.810
2.090 3.386 4.290
2.653 3.210 4.661
6.848
8.620
2.420
4.322
5.740
10.062
13.260
20.410
2.810
5.516
7.690
14.785
20
25
30
35
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. Wu, 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 Yuan and Alex at 5%. Then recalculate the shortfall based on the
top rate provided by Dr. Wu.
Transcribed Image Text:5. Funding the nest egg shortfall Determining Retirement Shortfall Yuan and Alex have 40 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 $6,750.00 per year. Use the following tables to answer the questions about future value interest factors. Interest Factors-Future Value Interest Factors-Future Value of an Annuity Periods 3.00% 5.00% 6.00% 8.00% 9.00% 5.600 1.810 2.090 3.386 4.290 2.653 3.210 4.661 6.848 8.620 2.420 4.322 5.740 10.062 13.260 20.410 2.810 5.516 7.690 14.785 20 25 30 35 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. Wu, 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 Yuan and Alex at 5%. Then recalculate the shortfall based on the top rate provided by Dr. Wu.
Interest rate Inflation-adjusted annual shortfall
(Percent)
5
6
(Dollars)
Funding the shortfall
In addition to determining a realistic inflation rate, Yuan and Alex talked to their financial advisor to understand rates of return now and after they
reach retirement. First, their advisor projects that in 40 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
(Percent)
5
6
Description
Amount of retirement fund required
nual savings required to fund nest egg
Amount of retirement funds required
(Dollars)
Transcribed Image Text:Interest rate Inflation-adjusted annual shortfall (Percent) 5 6 (Dollars) Funding the shortfall In addition to determining a realistic inflation rate, Yuan and Alex talked to their financial advisor to understand rates of return now and after they reach retirement. First, their advisor projects that in 40 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 (Percent) 5 6 Description Amount of retirement fund required nual savings required to fund nest egg Amount of retirement funds required (Dollars)
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