Are Investors Undervaluing Karooooo Ltd. (NASDAQ:KARO) By 37%?

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Does the December share price for Karooooo Ltd. (NASDAQ:KARO) reflect what it's really worth? Today, we will estimate the stock's intrinsic value by projecting its future cash flows and then discounting them to today's value. We will use the Discounted Cash Flow (DCF) model on this occasion. There's really not all that much to it, even though it might appear quite complex.

Companies can be valued in a lot of ways, so we would point out that a DCF is not perfect for every situation. If you still have some burning questions about this type of valuation, take a look at the Simply Wall St analysis model.

See our latest analysis for Karooooo

The Calculation

We are going to use a two-stage DCF model, which, as the name states, takes into account two stages of growth. The first stage is generally a higher growth period which levels off heading towards the terminal value, captured in the second 'steady growth' period. To begin with, we have to get estimates of the next ten years of cash flows. Where possible we use analyst estimates, but when these aren't available we extrapolate the previous free cash flow (FCF) from the last estimate or reported value. We assume companies with shrinking free cash flow will slow their rate of shrinkage, and that companies with growing free cash flow will see their growth rate slow, over this period. We do this to reflect that growth tends to slow more in the early years than it does in later years.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

2023

2024

2025

2026

2027

2028

2029

2030

2031

2032

Levered FCF (ZAR, Millions)

R511.6m

R651.6m

R835.1m

R972.9m

R1.09b

R1.19b

R1.27b

R1.34b

R1.40b

R1.45b

Growth Rate Estimate Source

Analyst x2

Analyst x2

Analyst x2

Est @ 16.5%

Est @ 12.14%

Est @ 9.09%

Est @ 6.96%

Est @ 5.47%

Est @ 4.42%

Est @ 3.69%

Present Value (ZAR, Millions) Discounted @ 7.1%

R478

R568

R680

R740

R775

R790

R789

R777

R758

R734

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = R7.1b

The second stage is also known as Terminal Value, this is the business's cash flow after the first stage. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 2.0%. We discount the terminal cash flows to today's value at a cost of equity of 7.1%.

Terminal Value (TV)= FCF2032 × (1 + g) ÷ (r – g) = R1.5b× (1 + 2.0%) ÷ (7.1%– 2.0%) = R29b