PJENL Actuario Aptitude Exam study materials
PJENL Actuario Aptitude Exam study resources

PJENL Actuario Aptitude Exam case studies

PJENL Actuario Aptitude Exam · Put your knowledge to work in context.

The PJENL Actuario Aptitude Exam is an entrance-style assessment used to judge whether a candidate has the mathematical and analytical foundation expected before actuarial study begins. It suits students finishing a quantitative degree, career-changers moving from banking, engineering, or data work, and anyone preparing for a formal actuarial qualification who needs evidence of readiness. The PJENL Actuario Aptitude Exam case studies are 5 cases and about 3,725 words.

1

Overdispersed Claim Counts in a Motor Portfolio

A motor insurer has 2,000 policy-years of homogeneous private-car exposure. The portfolio recorded 480 claims, so the sample mean annual claim count is 0.24.

758 words, about 4 min
2

Refinancing a Commercial Mortgage: Break-Even and Horizon

A commercial borrower has a 300,000 mortgage at 6.0% nominal annual interest convertible monthly, amortized over 30 years with level monthly payments. After exactly 60 payments, the outstanding balance is 279,166 and the current payment is 1,798.65.

742 words, about 4 min
3

Joint-and-Survivor Pension Election at Retirement

A married couple, both age 65, is choosing how to take the husband's defined-benefit pension. The single-life annuity is 60,000 per year, paid monthly for as long as the husband lives.

735 words, about 4 min
4

Credibility for a Large Workers' Compensation Account

A workers' compensation insurer has insured a large construction account for three years. The account's annual loss ratios, on a common exposure base, were 0.80, 0.60 and 0.70.

609 words, about 3 min
5

Stationary Market Shares in a Three-Channel Distribution System

A direct insurer tracks households among three distribution channels: agency (A), broker (B) and direct (D). Annual transition probabilities are estimated from three years of policyholder data and are stable: from A, 80% stay in A, 15% move to B and 5% move to D; from B, 10% move to A, 70% stay in B and 20% move to D; from D, 5% move to A, 15% move to B and 80% stay in D.

881 words, about 4 min