Valuation of individual investments

CP1 – Actuarial Practice · IFoA (Institute and Faculty of Actuaries) · 5 min read · Updated: 7 Sept 2026

Introduction: Why do we value investments?

Welcome to one of the most practical chapters in the CP1 curriculum! As an actuary, you aren't just looking at what an investment is worth today on a screen; you need to understand how that value is derived and whether it is appropriate for the specific purpose you have in mind.

In the "Investment and asset-liability management" section, we look at how to match assets to liabilities. But before we can match them, we must be able to put a price tag on them. Whether you are valuing a government bond, a skyscraper, or a share in a tech company, the principles of discounted cash flow (DCF) and market consistency will be your best friends. Don't worry if the math seems daunting at first—we will break it down step-by-step!

1. The Core Principle: Discounted Cash Flow (DCF)

For almost any individual investment, the "theoretical" value is simply the sum of all the money you expect to receive from it in the future, adjusted (discounted) to reflect the fact that money today is worth more than money tomorrow.

The general formula for the Present Value ($PV$) is:

$PV = \sum_{t=1}^{n} \frac{CF_t}{(1 + i)^t}$

Where:
$CF_t$ = the expected cash flow at time $t$
$i$ = the required rate of return (discount rate)
$n$ = the number of periods

Quick Tip: If an investment has no fixed cash flows (like a painting or gold), valuing it becomes much more subjective and usually relies entirely on market price (what someone else is willing to pay).

2. Valuing Fixed-Interest Securities (Bonds)

Bonds are usually the easiest to value because the cash flows are "fixed" (contractual). You know exactly what the coupons are and when the bond will be redeemed.

How to value them:

We discount the future coupons and the final redemption payment at a gross redemption yield (or a yield curve).

Factors that change the value:
1. Interest Rates: If market interest rates go up, the value of existing bonds goes down (and vice versa).
2. Credit Risk: If the company issuing the bond looks like it might go bust, investors will demand a higher yield, which pushes the price down.
3. Term to Maturity: Longer-term bonds are generally more sensitive to interest rate changes.

3. Valuing Index-Linked Bonds

These are similar to fixed-interest bonds, but the coupons and the principal increase in line with an inflation index (like the RPI or CPI).

The Valuation Challenge:

To value these, you need to make an assumption about future inflation.
$PV = \sum \frac{Expected \ Cash \ Flow \times (1 + inflation)^t}{(1 + i)^t}$

Did you know? Actuaries love index-linked bonds because many insurance liabilities (like pension payments) also increase with inflation. They are a perfect "match"!

4. Valuing Equities (Shares)

Equities are harder to value than bonds because the "cash flows" (dividends) are not guaranteed and can grow over time.

Method A: The Dividend Discount Model (DDM)

We assume the value of a share is the present value of all future dividends. A common version is Gordon’s Growth Model:

$V = \frac{D \cdot (1 + g)}{i - g}$

Where:
$D$ = the current dividend
$g$ = the expected constant growth rate of dividends
$i$ = the required rate of return

Method B: Valuation Multiples

Sometimes actuaries use the Price-to-Earnings (P/E) ratio.
Example: If a company earns \$1 per share and the average P/E for that industry is 15, you might value the share at \$15.

Key Takeaway: Equity valuation is highly sensitive to the growth assumption ($g$). A small change in $g$ can lead to a massive change in the calculated value!

5. Valuing Property (Real Estate)

Property is unique because it is heterogeneous (no two buildings are exactly the same) and illiquid (it takes a long time to sell).

The Valuation Approach:

Property is often valued by professional surveyors using the Initial Yield.
$Value = \frac{Current \ Annual \ Rent}{Yield}$

Alternatively, a DCF approach can be used, looking at rental income minus outgoings (maintenance, management fees, taxes) plus the reversionary value (the expected sale price at the end of the holding period).

Common Pitfall: Students often forget that property has high transaction costs (legal fees, stamp duty). These must be considered when determining the "net" value to an investor.

6. Appropriateness of Methods

The syllabus requires you to know which method to use in different situations. This depends on the purpose of the valuation:

1. For Statutory Reporting: You might be required by regulators to use Market Value (the price at which the asset is currently trading).
2. For Long-term Asset-Liability Matching: You might use a Discounted Cash Flow approach based on your own internal assumptions to see if the asset "fits" your long-term needs.
3. For "Fair Value": This is a market-consistent approach, often defined as the price that would be received to sell an asset in an orderly transaction between market participants.

7. Summary Table for Quick Review

8. Final Key Points to Remember

• Information Asymmetry: Remember that some sellers know more about an asset's flaws than buyers (especially in property or private equity). This affects the "price" vs. the "value."
• Market Consistency: Modern actuarial practice leans heavily toward valuing assets at market prices where a deep and liquid market exists.
• Risk Appetite: An investor with a high risk appetite might value a volatile equity more highly than a risk-averse investor because they require a lower "risk premium" ($i$).

Don't worry if you find the equity and property formulas tricky—just remember the core idea: Value is just the sum of future benefits, brought back to today's money!

Quick check

Can you answer these now?

Open each question to check the key ideas from this chapter.

What is the core principle of Discounted Cash Flow (DCF) valuation?

The theoretical value is the sum of all expected future cash flows, discounted to the present at a required rate of return to reflect the time value of money.

How are fixed-interest securities (bonds) valued, and what are the main factors affecting their price?

Bonds are valued by discounting future coupons and the redemption payment at a gross redemption yield; prices are primarily driven by interest rates, credit risk, and term to maturity.

What is the primary challenge when valuing index-linked bonds compared to fixed-interest bonds?

The primary challenge is that future cash flows are unknown and must be estimated based on assumptions about future inflation rates.

What is Gordon’s Growth Model (Dividend Discount Model) for equity valuation?

It values a share as the present value of future dividends growing at a constant rate: $V = \frac{D \cdot (1 + g)}{i - g}$.

How are valuation multiples, such as the P/E ratio, used to value shares?

The value is estimated by multiplying the company's earnings per share by an appropriate industry-average Price-to-Earnings (P/E) ratio.

What unique characteristics of property must be considered during valuation?

Property is heterogeneous (unique) and illiquid, often requiring valuation via rental yields or DCF while accounting for high transaction costs.

How does the purpose of a valuation dictate the choice of valuation method?

The method depends on whether the goal is statutory reporting (Market Value), long-term matching (internal DCF), or determining a 'Fair Value' for transactions.

How does information asymmetry affect the price versus the value of an investment?

Sellers may have more information about an asset's flaws than buyers, creating a gap between the market price and the intrinsic value.

How does an investor's risk appetite influence their valuation of an asset?

Investors with higher risk appetite require a lower risk premium (discount rate), leading them to calculate a higher value for volatile assets.

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