| Course | FIN 440 Risk Management and Insurance Planning (FIN/440) |
|---|---|
| Week | 4 |
| Paper type | Underwriting and actuarial pricing paper |
| Length | about 1,008 words, 4 double-spaced pages plus title page and references |
| Format | APA 7 student paper |
| School | University of Phoenix |
| Program | BS in Finance |
| Updated | October 2026 |
Free sample paper for FIN 440 Week 4
Seen From the Insurer's Side: Underwriting the Savannah Warehouse, Building a Rate From Loss Costs and Credibility, and Pricing a Life Annuity for the Founder's Retirement
[Student Name]
University of Phoenix
FIN/440: Risk Management and Insurance Planning
Week 4 Assignment
[Instructor Name]
[Date]
Peach State Cold Storage, its founder and all rates are composites written for a model paper; actuarial methods and research findings come from the sources listed and are simplified for teaching.
At renewal, the composite warehouse received quotes showing its property premium unchanged but its workers' compensation premium up 12 percent, though its claim count had fallen. Separately, the company's founder, Walter Hayes, 70, who sold most of his shares to his children, asked whether to use $600,000 of the proceeds to buy a lifetime annuity. Both questions have the same answer at their core: insurers price what they expect to pay, adjusted for what they cannot see and what it costs to operate. This paper explains how.
The Underwriter's Questions
Underwriting decides whether to accept a risk and on what terms. Property underwriters often organize their review around construction, occupancy, protection and exposure (Rejda et al., 2020). Construction: the warehouse uses insulated metal panels, which can burn intensely if the foam core ignites; panels with a fire-rated core earn better terms. Occupancy: cold storage has fewer ignition sources than manufacturing but large, concentrated values. Protection: the freezer rooms use dry-pipe sprinklers, since water-filled pipes would freeze, and the fire department is four miles away. Exposure: a neighboring pallet yard could spread a fire. The underwriter also reviewed the ammonia system's inspection reports and Peach State's loss history. A recent infrared scan of electrical panels and an inspection showing no sprinkler impairments supported a standard rate.
Building the Property Rate
Actuaries start with the pure premium, the expected loss per unit of exposure. Industry data for comparable cold-storage buildings suggest expected losses of about 55 cents per $100 of insured value a year. On $22 million of building and equipment, that is about $121,000 of expected loss. The insurer must also cover commissions, underwriting, claims handling and taxes, about 28 percent of premium, and earn a profit and contingency margin of about 5 percent. Dividing the $121,000 by 0.67, which leaves room for the 33 percent of loadings, gives a charge of about $181,000. Business income and equipment breakdown coverage, priced separately, bring the total near the $210,000 in Week 3.
Why Workers' Compensation Went Up
Workers' compensation rates start from a class rate for refrigerated warehousing per $100 of payroll, about $1.60 in this example. The insurer then adjusts for the employer's own experience. Peach State's claims over the last three years averaged about $2.10 per $100 of payroll, driven by two serious forklift injuries early in the period. A small employer's experience is not fully reliable, so the insurer blends it with the class rate using a credibility factor. With a credibility of 0.4, the blended rate is 0.4 times $2.10 plus 0.6 times $1.60, or $1.80, about 12.5 percent above the class rate. The fewer but older large claims still weigh on the rating period, which explains the increase despite the falling claim count. As those claims roll out of the three-year window, the rate should fall if the improvement holds.
What Underwriters Cannot See
Insurers know less about each insured's risk than the insured does. Rothschild and Stiglitz (1976) showed that this hidden information can unravel insurance markets: if one price is offered to everyone, those with high risk buy more and those with low risk drop out, pushing prices up. Insurers respond by gathering information, such as inspections, and by offering menus, such as different deductibles, that lead buyers to reveal their risk. Moral hazard, reduced care after coverage, is handled through deductibles, which is why Peach State retains the first $25,000 of each workers' compensation claim.
What the Company Can Do About Its Price
Knowing how the rate is built shows Peach State where it can act. On property, replacing the oldest insulated panels in one room with fire-rated panels and adding heat detection in the panel cavities would improve the construction and protection grades, which the underwriter estimated could cut the rate by 8 to 10 percent at the next renewal. On workers' compensation, the improvement in claims since the forklift training began will enter the experience period over the next two years, lowering the blended rate if it holds. The company also asked the insurer for loss control visits, which cost nothing and produce the inspection records underwriters want to see.
The Founder's Annuity
An immediate life annuity pays a fixed amount each year for life in exchange for a single premium. Its price is the present value of each payment, weighted by the probability that the annuitant is alive to receive it, plus loads. For a 70-year-old man, using annuitant mortality and a 4.5 percent interest rate, the present value of $1 a year for life is roughly $11.50 before loads. With loads, $600,000 would buy about $48,000 a year, compared with about $52,000 if there were no loads.
Is It a Good Value?
Mitchell et al. (1999) measured the money's worth of individual annuities, the expected present value of payments divided by the premium. Using population mortality, they found values well below one, but using the longer life spans of people who actually buy annuities, values were much closer to one, evidence that much of the apparent cost reflects adverse selection rather than high expenses. For Walter, who is healthy and whose parents lived into their nineties, the annuity is likely to be a better value than the average figures suggest.
What Walter Gives Up
An annuity removes the risk of outliving his money but gives up access to the principal, protection against inflation unless he pays more for increasing payments, and any legacy from that $600,000. Walter decided to annuitize $400,000, keeping $200,000 invested for emergencies and gifts to his grandchildren.
Conclusion
The warehouse's property premium reflects expected losses plus loads for expenses and profit, and its workers' compensation increase reflects credibility-weighted experience from older claims. Underwriting questions and deductibles exist because of hidden information and reduced care. The same tools price an annuity, and for a healthy founder, a partial annuity buys protection against a long life at a fair price.
References
Mitchell, O. S., Poterba, J. M., Warshawsky, M. J., & Brown, J. R. (1999). New evidence on the money's worth of individual annuities. American Economic Review, 89(5), 1299-1318. https://doi.org/10.1257/aer.89.5.1299
Rejda, G. E., McNamara, M. J., & Rabel, W. H. (2020). Principles of risk management and insurance (14th ed.). Pearson.
Rothschild, M., & Stiglitz, J. (1976). Equilibrium in competitive insurance markets: An essay on the economics of imperfect information. The Quarterly Journal of Economics, 90(4), 629-649. https://doi.org/10.2307/1885326
What the FIN 440 Week 4 instructions ask
Students in FIN 440 Week 4 are generally asked to explain how insurers select and price risks and how annuities work. Common requirements include the underwriting process and its information sources, adverse selection and moral hazard, ratemaking methods such as the pure premium and loss ratio approaches, expense and profit loadings, credibility, experience rating, and the types, pricing and uses of annuities. Many versions ask students to explain why a specific insured's premium is what it is or to evaluate an annuity for a retiree. Show the rate calculation step by step, explain each assumption, connect pricing to information problems and cite insurance and economics research in APA format.
How this FIN 440 Week 4 example is built
An insured that has only ever paid premiums learns a great deal by seeing how the insurer arrives at them, which is the angle of this paper. It follows the underwriter through the warehouse's construction, occupancy, fire protection and neighbors. The actuary's rate is then built from an industry loss cost, an expense load and a profit load. For workers' compensation, the company's own claims are blended with the industry average using credibility, which explains its higher rate. Adverse selection and moral hazard explain why underwriters ask so many questions. The founder's annuity decision applies the same tools to life spans, and research on annuity value closes the analysis.
FIN 440 Week 4 grading rubric: where the points go
The grade this week generally rests on an accurate, step-by-step explanation of underwriting and pricing and a sound evaluation of an annuity. Instructors look for underwriting factors applied to the case, a rate built correctly from expected losses and loadings, credibility or experience rating explained with numbers and adverse selection and moral hazard tied to specific underwriting practices. For annuities, credit goes to papers that explain how mortality, interest and expenses set the payment and that weigh longevity protection against loss of flexibility. Tables, clear assumptions and APA references to insurance texts and research complete a strong paper. Showing the insured how to lower its own price, such as by improving protection, adds a practical dimension instructors value.
FIN 440 Week 4 help: mistakes to avoid
FIN 440 Week 4 papers lose marks when they describe underwriting in general terms without applying it to an insured. Walk through each factor for the case. Another frequent error is treating the gross premium as the expected loss; show the expense and profit loads. Students also mention credibility without showing how it blends the insured's experience with the class average. Use a worked example. Avoid presenting adverse selection as dishonesty; it arises from hidden information on either side. When evaluating an annuity, include what the buyer gives up, such as access to principal and a legacy. Finally, state every assumption, since prices depend on all of them, and say which one would move the result most.
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Other FIN 440 week samples
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- FIN 440 Week 2: Corporate Risk and Credit Risk
- FIN 440 Week 3: Liability and Types of Insurance
- FIN 440 Week 5: Insurance Law and Legislation
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FIN 440 Week 4 questions, answered
What does FIN 440 Week 4 usually cover?
It usually covers how insurers underwrite and price risks, including adverse selection, moral hazard, pure premium and loss ratio ratemaking, expense loads, credibility and experience rating, and how annuities are priced and used.
Where can I find a free FIN 440 Week 4 sample paper?
A full paper showing how an insurer underwrites and prices a cold-storage warehouse and how an annuity is valued, with margin notes on each step, is free to read here. Ask for a free first draft of your own.
What is the difference between adverse selection and moral hazard?
Adverse selection occurs before coverage, when those most likely to have losses are most eager to buy. Moral hazard occurs after, when coverage reduces the insured's care to prevent losses.
How is an insurance premium calculated?
Actuaries estimate expected losses per unit of exposure, the pure premium, then divide by one minus the share of premium needed for expenses and profit to get the gross rate.
How is a life annuity priced?
By discounting each future payment for interest and weighting it by the chance the annuitant is alive to receive it, then adding loads for expenses and the insurer's profit and risk.
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