Use numbers in a way that is appropriate for the intended recipient(s), given the objectives of the communication

Welcome to the World of Numbers (and How to Use Them!)

Hello there! As an aspiring actuary, you’ve probably spent years falling in love with precision, complex calculations, and spreadsheets full of data. However, in the CP3 – Communications Practice exam, your biggest challenge isn't doing the math—it's knowing how to present those results to someone who might not be a "math person."

In this guide, we’ll explore how to use numbers effectively. We want our audience to understand our message immediately, rather than getting lost in a sea of decimals. Think of yourself as a translator: you are translating the language of "Actuary" into the language of "Business Decision-Maker."

Don’t worry if this seems tricky at first! Many students struggle with "letting go" of technical precision, but with a few simple rules, you'll be communicating like a pro.

1. Knowing Your Audience’s "Number Comfort"

Before you type a single digit, you must ask: Who is reading this? Different people need numbers served in different ways.

The Layperson (e.g., a policyholder)

A layperson usually wants the "big picture." They don’t need to know the technical variance; they need to know if their premium is going up and by how much.
Tip: Use rounded numbers and relatable comparisons.

The Decision Maker (e.g., a CEO or Trustee)

These people are busy. They need numbers that highlight trends, risks, and impacts. They need to know the "So What?" behind the data.
Tip: Focus on materiality—only include numbers that change the decision.

The Technical Peer (e.g., another actuary)

Even though they understand the math, they still appreciate clarity. In a CP3 context, even technical peers should be given clear, well-structured numerical information without unnecessary clutter.

Quick Review: Always tailor the precision of your numbers to the recipient's level of expertise and the objective of the communication.

2. The Art of Rounding (Avoiding "False Precision")

One of the most common mistakes in CP3 is false precision. This happens when you provide a number so detailed that it implies a level of certainty that doesn't actually exist in the real world.

The Problem: If you tell a Board of Directors that "The projected cost is \( £1,245,672.34 \)," they might get distracted by the 34 pence. It looks messy and suggests you are 100% sure about that exact penny, which is impossible in long-term projections.

The Solution: Use significant figures.
Instead of \( £1,245,672.34 \), use:
- "Approximately £1.25 million"
- "About £1.2 million"

Analogy: Imagine asking a friend how far away the grocery store is. If they say "It's 1,432.67 meters away," you'd think they were joking. If they say "It’s about a mile," you have the information you actually need.

Key Takeaway:

Round your numbers to make them digestible, unless the specific precision is vital for the task (like a specific legal limit or a small premium change).

3. Relative vs. Absolute Numbers

Numbers mean very little without context. To help your recipient understand the "size" of a number, you need to choose between Absolute and Relative terms.

• Absolute Numbers: The raw value (e.g., "Profit increased by \( £10,000 \)").
• Relative Numbers: A percentage or ratio (e.g., "Profit increased by \( 5\% \)").

Example:
If you say, "The claims cost increased by \( £1 \) million," that sounds scary.
But if you add context: "The claims cost increased by \( £1 \) million, which is only a 0.1% increase over last year," it sounds much more manageable.

Did you know? Using percentages is often better for showing impact, while absolute numbers are better for showing scale. Use both together to give the full story!

4. Making Numbers Meaningful

Sometimes, even a rounded number is hard to visualize. You can make numbers "sticky" in the reader's mind by using comparisons or analogies.

The "Instead of" Rule:
- Instead of: "The fund decreased by \( £500 \) million."
- Try: "The fund decreased by one-third of its total value."

The "Step-by-Step" for presenting numbers:
1. State the number clearly.
2. Provide the unit (e.g., %, \( £ \), millions).
3. Provide context (e.g., "compared to last year").
4. Explain the implication (e.g., "this means we may need to increase reserves").

5. Common Pitfalls to Avoid

Check your work for these "No-Nos":

• Number Dumping: Don't put a huge table in the middle of a letter. Summarize the key figures in the text and put the detailed table in an appendix if needed.
• Undefined Units: Never just write "100." Is it 100 people? 100 pounds? 100 million? Always label your units clearly.
• Jargon in Numbers: Avoid terms like "basis points" unless your audience is financial. Use "0.01%" instead.
• Too many decimals: In CP3, you almost never need more than one or two decimal places for percentages, and zero decimal places for large currency amounts.

6. Memory Aid: The "C.A.R.E." Framework

When you are about to include a number in your CP3 script, remember to C.A.R.E.:

C - Context: Have I told them what this number relates to?
A - Accuracy: Is it correct, but also appropriate (avoiding false precision)?
R - Rounding: Is this easy to read at a glance?
E - Ease: Does this number help or hinder the flow of the sentence?

Summary Review

By the end of this chapter, you should remember:
- Numbers are tools to support your objective.
- Audience determines the level of detail.
- Rounding is your friend; false precision is your enemy.
- Use relative numbers (percentages) to provide context.
- Keep it simple, keep it clean, and always explain what the number means for the reader.

Keep practicing! Turning data into information is a skill that takes time to master, but once you do, you'll be a much more effective actuary.