| Course | GF550 Retirement Planning |
|---|---|
| Unit | Unit 3 |
| Paper type | Needs and gap projection |
| Length | About 870 words, 6 pages double-spaced |
| Format | APA 7 student paper |
| School | Purdue University Global |
| Program | MS in Finance |
| Updated | October 2026 |
Free sample paper for GF550 Unit 3
A $41,600 Gap That Can Become $638,000: A Unit 3 Needs and Gap Projection With Stress Tests
[Student Name]
Purdue University Global
GF550: Retirement Planning
Unit 3 Needs and Gap Projection
[Instructor Name]
[Date]
The couple and every figure are composite and illustrative; the articles and publication cited are real.
The Assumptions
Every input is listed so the reader can change any one of them.
1. Spending need: $84,000 a year in today's dollars, from the couple's budget.
2. Social Security and pension income: about $41,000 a year in today's dollars, from their benefit statements, leaving a net need of $43,000 to be drawn from savings.
3. Inflation: 2.5 percent a year, applied to the net need.
4. Years to retirement: nine.
5. Return while saving: 6 percent a year.
6. Return once withdrawals begin: 5 percent a year, lower because the portfolio will hold more bonds.
7. Horizon: thirty years of withdrawals, to age 95 for the younger spouse.
8. Withdrawals: drawn every January and raised with inflation.
9. Current savings: $540,000. Annual contributions: $18,000, deposited each December until retirement.
The treatment of income from Social Security and the pension as inflation-protected is a simplification, since Social Security benefits are adjusted each year but many private pensions are not (Social Security Administration, 2025).
Step 1: The First Year's Withdrawal
The net need of $43,000 in today's dollars grows at 2.5 percent for nine years: $43,000 times 1.025 to the ninth power, about $53,701 in the first year of retirement.
Step 2: Money Needed at Retirement
Thirty withdrawals starting at $53,701, rising 2.5 percent a year and each taken at the start of a year, are valued at the 5 percent retirement return. The formula for a growing annuity paid at the start of each period gives a present value of about $1,160,811 at the retirement date.
Step 3: What the Couple Will Have
Current savings of $540,000 growing at 6 percent for nine years reach about $912,319. Contributions of $18,000 a year for nine years, growing at 6 percent, reach about $206,844. Together the couple will have about $1,119,163.
Step 4: The Gap
About $1,160,811 needed less $1,119,163 available leaves a gap of about $41,600. Closing it would take about $3,600 a year of additional saving over the nine years, or a modest reduction in spending.
The base case says the couple is nearly on track, but the gap rests on four assumptions that all lean optimistic, and each of them alone moves the shortfall more than the couple's entire base-case gap.
Step 5: Stress Tests
Each test changes one assumption while holding the others at base values.
Inflation of 3 percent instead of 2.5. The first withdrawal rises and grows faster, raising the money needed to about $1,291,278. Gap: about $172,100.
A 5 percent return while saving instead of 6. Savings reach about $837,717 and contributions about $198,478. Gap: about $124,600.
Living to 100 instead of 95. Thirty-five years of withdrawals require about $1,285,065. Gap: about $165,900.
A 4 percent return in retirement instead of 5. The money needed rises to about $1,315,362. Gap: about $196,200.
All four together. Gap: about $638,000, roughly fifteen times the base case.
What the Stress Tests Mean
None of the four stressed assumptions is extreme. Inflation averaged more than 2.5 percent in several recent years. Returns of 5 percent on a balanced portfolio are well within normal experience. One partner of a healthy couple aged 60 has a meaningful chance of living past 95. The base case is a midpoint, not a promise. Research on sustainable spending shows that the probability of running out of money depends heavily on the gap between the spending rate and the expected return, and on how long the money must last (Milevsky & Robinson, 2005).
The projection also treats returns as smooth. In practice, a poor sequence of returns in the first years of retirement can do far more damage than the same average return spread evenly, a risk a later unit examines directly.
How Households Compare
Research on retirement saving finds that many households are closer to adequate than broad surveys suggest once their full resources and needs are counted (Scholz et al., 2006). This couple fits that pattern in the base case. The stress tests show why adequacy measured at a single set of assumptions can still leave a household exposed.
What the Projection Leaves Out
Three items sit outside the numbers. Taxes on withdrawals from pre-tax accounts are folded into the spending need rather than modeled separately, which works only if the couple's tax rate stays near today's. Long-term care costs, which can run far above ordinary health spending in the last years of life, are not included. And the projection assumes both partners retire in the same year, though one may keep working part time. Each could be added in a fuller model; each would most likely widen the gap.
Recommendations
1. Raise contributions by about $3,600 a year now, closing the base gap.
2. Treat any further saving, up to roughly $10,000 a year, as protection against the stress cases rather than as surplus.
3. Revisit the projection each year, replacing the inflation and return assumptions with the couple's actual experience.
References
Milevsky, M. A., & Robinson, C. (2005). A sustainable spending rate without simulation. Financial Analysts Journal, 61(6), 89-100. https://doi.org/10.2469/faj.v61.n6.2776
Scholz, J. K., Seshadri, A., & Khitatrakun, S. (2006). Are Americans saving "optimally" for retirement? Journal of Political Economy, 114(4), 607-643. https://doi.org/10.1086/506335
Social Security Administration. (2025). Retirement benefits (Publication No. 05-10035). SSA.
Reading the GF 550 Unit 3 instructions
The third GF550 unit asks you to project retirement needs and the savings gap. List every assumption first: spending need, guaranteed income, inflation, years to retirement, returns before and after retirement, the planning horizon and the timing of withdrawals and contributions. Then compute the first year's withdrawal, the amount needed at retirement to fund all withdrawals, and what current savings and future contributions will be worth. Subtract to find the gap and translate it into an action, such as additional annual saving. Test the result by changing one assumption at a time, and then all together. Explain what the stress tests mean for the household and what the projection leaves out. Cite research on retirement adequacy or spending sustainability in APA 7.
How the GF 550 Unit 3 example is put together
Nine numbered assumptions open the sample, with a note citing the Social Security Administration on which income is inflation-protected. Four steps follow: inflating the net need, valuing a growing annuity due at the retirement date, projecting savings and contributions, and computing the gap with the extra saving that would close it. The highlighted sentence warns that each optimistic assumption alone outweighs the gap. Four stress tests each report the new requirement or savings figure and the resulting gap, followed by the combined case. A section explaining the stress tests cites Milevsky and Robinson on spending rates and horizons, and another cites Scholz and colleagues on adequacy. A section on what the projection leaves out names taxes, long-term care and staggered retirement, and three recommendations close.
Where the points sit in the GF550 Unit 3 rubric
Credit on this GF550 projection depends first on a complete, visible assumptions list and correct arithmetic at every step, since graders recompute the gap. Applying the right timing conventions, growing withdrawals taken at the start of each year and contributions at year end, is a frequent point of separation. The next share rewards stress tests that vary each assumption on its own before combining them, with each result reported. Instructors in this MS in Finance course value interpretation: what the base result and the stress results mean for the household's decisions. Acknowledging what the model omits shows judgment. Concrete recommendations and sourced claims, with Milevsky and Robinson and Scholz listed in APA 7, finish the grade.
GF550 Unit 3 help: mistakes that cost points
GF550 Unit 3 projections often bury assumptions in the text, so a reader cannot change one and see the effect. Others mix real and nominal figures, inflating spending but discounting at a real rate. Withdrawals are treated as level when they should rise with inflation. Contributions are left out or assumed to grow without a stated rate. Many projections report only the base gap, which can make a fragile plan look comfortable. Stress tests, when included, change several assumptions at once with no single-factor results. For any household your case provides, follow the same steps: list assumptions, compute the need, project resources, find the gap, stress it and recommend.
Get a GF550 Unit 3 example written to your instructions
Household facts from the GF550 Unit 3 case and whatever assumptions your instructor fixed come first, then the rubric and a note on whether a spreadsheet should travel with the paper. Every input sits in one numbered block open to challenge, and the gap is stress-tested one assumption at a time. No charge for the first custom sample, and turnaround usually runs 24-48h. The paper above is an original model document written by our desk, not a submitted student paper and not an official Purdue University Global document.
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GF550 Unit 3 questions, answered
Should spending be projected in real or nominal terms?
Either works if it is consistent. The sample states need in today's dollars, inflates it to the retirement date, and then discounts withdrawals at a nominal return while growing them with inflation, which keeps every figure in the same terms. Mixing the two, today's spending against nominal balances, ranks among the errors graders flag most often in this unit.
What planning age is defensible?
One later than average life expectancy, with a reason. The sample uses 95 for the base case and tests 100, because the longer-lived of two spouses typically outlasts either individual's average. Your instructor may specify an age; if not, stating the choice and showing what a longer horizon does to the gap is what most rubrics reward.
Is a small gap good news?
Only if it survives stress. The sample's base shortfall is 41,649, easily closed, but a lower return in retirement or a longer life raises it roughly four- to fivefold. Reporting the base figure alone would suggest the couple is nearly ready. The stress table is what tells the reader how much confidence the base figure deserves.
Where can I find a free GF550 Unit 3 sample paper?
This page carries a full GF550 Unit 3 needs and gap projection for a composite couple, with every assumption listed, the base gap, four stress tests and APA 7 references.
Why use a lower return after retirement than before?
Portfolios usually shift toward bonds as retirement begins to reduce the chance of a large loss when withdrawals start. The sample uses 6 percent while saving and 5 percent once withdrawals begin to reflect that change.