In This Article:
I am going to run you through how I calculated the intrinsic value of Piaggio & C SpA (BIT:PIA) by taking the expected future cash flows and discounting them to their present value. This is done using the Discounted Cash Flows (DCF) model. Don’t get put off by the jargon, the math behind it is actually quite straightforward. Anyone interested in learning a bit more about intrinsic value should have a read of the Simply Wall St analysis model. If you are reading this and its not December 2018 then I highly recommend you check out the latest calculation for Piaggio & C by following the link below.
Check out our latest analysis for Piaggio & C
The calculation
I’m using the 2-stage growth model, which simply means we take in account two stages of company’s growth. In the initial period the company may have a higher growth rate and the second stage is usually assumed to have perpetual stable growth rate. To start off with we need to estimate the next five years of cash flows. For this I used the consensus of the analysts covering the stock, as you can see below. The sum of these cash flows is then discounted to today’s value.
5-year cash flow forecast
2019 | 2020 | 2021 | 2022 | 2023 | |
Levered FCF (€, Millions) | €56.53 | €60.22 | €61.92 | €63.68 | €65.48 |
Source | Analyst x3 | Analyst x5 | Est @ 2.83% | Est @ 2.83% | Est @ 2.83% |
Present Value Discounted @ 17.52% | €48.10 | €43.60 | €38.15 | €33.38 | €29.21 |
Present Value of 5-year Cash Flow (PVCF)= €192m
We now need to calculate the Terminal Value, which accounts for all the future cash flows after the five years. The Gordon Growth formula is used to calculate Terminal Value at an annual growth rate equal to the 10-year government bond rate of 1.8%. We discount this to today’s value at a cost of equity of 17.5%.
Terminal Value (TV) = FCF2022 × (1 + g) ÷ (r – g) = €65m × (1 + 1.8%) ÷ (17.5% – 1.8%) = €424m
Present Value of Terminal Value (PVTV) = TV / (1 + r)5 = €424m ÷ ( 1 + 17.5%)5 = €189m
The total value is the sum of cash flows for the next five years and the discounted terminal value, which results in the Total Equity Value, which in this case is €381m. The last step is to then divide the equity value by the number of shares outstanding. If the stock is an depositary receipt (represents a specified number of shares in a foreign corporation) then we use the equivalent number. This results in an intrinsic value of €1.07. Compared to the current share price of €1.86, the stock is seriously overvalued and so the big question becomes: why is this stock so pricey?