Math & Teaching
Actuarial Math Basics: Life Tables, Annuities & Premiums
IntermediateCertificate$9.99
Insurance Claims Reserving: Chain Ladder, Loss Ratios & IBNR
Loss, expense and combined ratios by line, cumulative triangles from incremental data, age-to-age factors, CDFs and ultimates, IBNR and case reserves, Bornhuetter-Ferguson, paid vs incurred chain ladder, tail sensitivity and discounting: 8 labs on one fictional insurer's motor book.
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What you'll build
What you will be able to do
Each lab ends with a concrete result that you build yourself and the checker confirms, cell by cell.
- Calculate the loss, expense and combined ratio of Tamsworth Mutual's three lines of business, the premium-weighted total and chart where the underwriting profit comes from.
- Turn Tamsworth Mutual's incremental motor claims into a cumulative triangle, read the latest reported amount per accident year and the claims reported in calendar year 2026.
- Calculate the link ratios of Tamsworth Mutual's reported claims triangle and compare volume-weighted, simple-average and latest-three-year development factors.
- Turn the selected development factors into cumulative factors to ultimate, read the % reported per age, look up each accident year's CDF and project Tamsworth Mutual's ultimate claims.
- Split Tamsworth Mutual's outstanding claims into case reserves and IBNR per accident year, add up the total reserve and chart its structure.
- Estimate Tamsworth Mutual's IBNR with the Bornhuetter-Ferguson method, using earned premium, an expected loss ratio and the development pattern, and compare it with the chain ladder.
- Compare Tamsworth Mutual's paid and incurred claims, project ultimates with both chain ladders and explain where and why they disagree.
- Test how Tamsworth Mutual's IBNR reacts to the tail factor and discount the claims reserve with a payment pattern.
About this course
How much will this year's claims finally cost once every late report and payment has arrived? That question drives this hands-on reserving course. You begin with loss, expense and combined ratios by line, then convert incremental claims data into cumulative development triangles. From there you calculate age-to-age link ratios and their averages, turn them into cumulative development factors and project ultimate claims. You separate case reserves from IBNR and total the reserve, then cross-check it with the Bornhuetter-Ferguson approach based on an expected loss ratio. Comparing paid and incurred chain ladders shows what differing results mean, and the final lab tests tail-factor assumptions and discounting. Suitable for actuarial students, claims analysts and insurance finance teams.
Curriculum
Course content
8 lessons · 8 labs · 2 h · final exam
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Unlocked when you buy the course
- Final exam
Certificate
Finish with a certificate you can verify
Complete every lesson and pass the final exam to receive a certificate of completion for this course, with a unique credential ID and a public verification page.
- Names the course, your score and the date of issue
- A verification link for your CV or LinkedIn profile
- 12 questions, 75% to pass, unlimited retries.
A Tutorvo certificate confirms that you completed a course. It is not an official or professional qualification.
Before you buy
Questions about this course
Is this a subscription?
No. You pay $9.99 once for this course. There is no subscription and nothing renews automatically. Prices are in US dollars; taxes may be added where required.
What exactly do I get?
All lessons and labs of this course, the final exam and the certificate, including later updates to the course, for as long as Tutorvo offers it. Access is personal and tied to your account.
Can I get a refund?
Yes. If you are not satisfied, email hello@tutorvo.com within 14 days of buying and we refund the course in full via Stripe. The guarantee does not apply once a certificate for the course has been issued to you, or where there are signs of abuse.
When can I start?
Right after payment. Access starts immediately at your request; for consumers in the EU/EEA the statutory right of withdrawal therefore ends once access has begun, while our 14-day money-back guarantee applies regardless.
Do I need Excel or other software?
No. The labs run in a spreadsheet inside your browser on a laptop, tablet or phone. Function names and syntax follow Excel.
Is the certificate an official qualification?
No. It confirms that you completed all lessons of the course and passed its final exam. It is not an official, state-recognised or professional qualification. The name is taken from your profile when the certificate is issued.
Full details are in our Terms · hello@tutorvo.com
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