Description
The BP Prudhoe Bay Royalty Trust (BPT) has been written up twice (Dec. 2018 by cable888 and June 2014 by Reaper666). Both write-ups were well timed and the shorts performed well. I think this is another attractive time to short the stock as it hasn’t followed oil prices lower and, given spot/strip WTI, dividends are likely to hit 0 shortly.
Overview:
The Trust owns an interest in the production from a BP operated oil field in the Prudhoe Bay of Alaska. BPT receives an overriding royalty interest of 16.4% on the lesser of 90,000 bbls/d of crude and condensate or the actual average daily net production of crude and condensate from the working interest of BP Alaska in the Prudhoe Bay field; unlike some other overriding royalty interests, however, BPT’s cash-flow is reduced against a cost calculation.
The cost calculation is easy to forecast as it isn’t related to real world costs. Instead, the cost structure follows a formula established in the trust agreement. To be specific royalties are calculated as (Revenue per Bbl - Costs per Bbl) * Attributable Production (16.4% of lessor of 90,000 bbls/d or actual production) with:
Revenue per Bbl = Daily WTI Cushing Price
Costs per Bbl = “Chargeable Costs” * “Cost Adjustment Factor” + Production Taxes
The revenue calculation is straight-forward but the cost calculation is a bit more complicated.
Chargeable costs are determined by the trust agreement and escalate annually on a predetermined schedule. In 2020, Chargeable Costs, are $26.50/bbl and will rise by $2.75/bbl every year hereafter. Historically costs rose much more slowly but the current, rapid acceleartion of Chargeable Costs was added as an eventual way to knock-out the royalty.
The Cost Adjustment Factor (CAF) is essentially cumulative inflation since the trust was established (with some caveats that are unimportant/immaterial to the thesis). The most recent reported CAF was 1.972 for Q2 of 2019
The production tax rates are a real world expense and are done on a sliding scale (they rise rapidly with WTI prices above $70) but appear to be the result of a complex calculation covering a number of taxes (severance, excise, sales, VAT etc.). For context, the tax per bbl was $20 when WTI was in the high 90’s, taxes were in the mid to high single digit $’s per bbl when WTI was in the 70’s, and taxes were ~$2 when WTI was in the 50’s.
Beyond this, the trust has ~$1.2mm of annual expenses.
After any cash held back to cover future trust expenses, the available CF after trust expenses is distributed to unit holders.
Putting this together, it’s easy to see that BPT needs rapid and sustained appreciation in WTI to continue generating cash from their royalty interests.
For 2020 the breakeven is ~$55/bbl and rises in the following years to approximately $62, $70, $81, $94 and well over $100/bbl in 2025. Note: Because I’ve had to make some simplifying assumptions about the tax structure this may be off by a few $’s in any year.
Thesis:
At present BPT has a breakeven of ~$55 WTI ($26.50*2 + 2/bbl of taxes). With oil prices at $51 and the curve at $51-52 for the rest of the year, BPT’s dividends should soon be $0. As the stock is held by yield hogs an announcement of no or a very limited dividend in early March should be a catalyst for BPT to sell off.
While there should be a little bit of CF from the beginning of the year when oil prices were in the high 50’s/low 60’s, the Trustee may hold this cash back to cover future expenses as the strip implies there is likely to be no future cash-flow, the current cash balance will only cover 1 year of expenses, and BPT could exist through 2022 even on the current strip before it would have to be liquidated. Even if the Trustee distributes the CF the dividend should be just $.05-.06/share which would be an 85% reduction from the Q4 ‘19 dividend and would be just ~3% annualized for a stock which has historically traded with a double digit yield.
Option Value:
One concern investors might have is that BPT should probably be valued like an option (rather than a DCF of the central case). BPT will continue to exist until net revenues for two successive years are less than $1mm per year. At the end of this period the trust will be sold (with BP having an option to purchase it). Obviously there’s some value to the Trust interests even if they’re generating no CF but with a $160m market cap and a rapidly escalating cost structure there’s not a lot of option value. Some data points:
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Every $1 WTI is above its breakeven price for a full year generates ~$.25/share of CF (i.e. is worth ~3-4% of current stock price on an undiscounted basis).
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The breakeven in 2020 is ~$55
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The breakeven in 2021 is ~$62
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The breakeven in 2022 is ~$70
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The breakeven in 2023 is ~$81
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The breakeven in 2024 is ~$94
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The breakeven in 2025 is ~$118
After 2025 things get crazy as production taxes appear to go parabolic. To justify its current value on an undiscounted basis, BPT needs 30-dollar-years above breakeven (i.e. $30 above breakeven for a single year, $10 above breakeven for 3 years etc.). That seems unlikely and the mispricing can be illustrated by listed WTI option pricing.
Each unit, assuming production is at the maximum 90,000 bbls/d, is entitled to .25bbls/year of production. That is, 4,000 shares ($30,000) would get you 1,000 bbls/year of exposure.
Alternatively, call options struck at BPT’s breakevens would cost ~$11,500 for 1,000 bbls of annual exposure:
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)
Note: 2020 & 2021 prices are done at the Ask, 2022 is done at 125% of the Jan 31st Close, 2023-2025 are done at their last (Dec. 15 2019) price when the strip was higher.
The call options are better than BPT shares because:
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They are struck in December of their respective years and thus have more time value than BPT whose average bbl should be produced in June/July
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BP’s working interest has recently been producing in the mid to high 70,000 bbls/d not 90,000.
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These are true calls on WTI. If WTI prices at $100 in 2021 the 2021 calls will pay you $38. BPT, however, will pay you less than that because, as realized prices rise, so do production taxes (BPT would generate ~$15/bbl of CF at $100 in 2021).
On the other hand BPT could theoretically continue to exist with option value beyond 2025.
Assuming these were equivalent trades, BPT would be worth just ~$2.50/share and be down by almost two thirds.
Borrow Costs:
Borrow is currently fairly tight and costs are high (~50% from IBKR whereas its more typically been 20-30%). Some of this may be due to the recently paid out Q4 dividend - holders of the stock are incentivized to pull lent shares before the dividend date so as to get better tax treatment but availability and rates tend to moderate in the days/weeks after the dividend. Alternatively, others may have realized that the recent swoon in oil prices, which hasn’t been met with a similar swoon in BPT’s price, is an attractive catalyst given the likely size of the Q1 ‘20 dividend.
I do not hold a position with the issuer such as employment, directorship, or consultancy.
I and/or others I advise hold a material investment in the issuer's securities.
Catalyst
- Q1 2020 Dividend announcement in very early April (possibly $0, probably not higher than $.06)