I used to do my head in trying to work out the cross ownership and the correct way to value SOL and BKW. I'll paste calculations I posted in 2018 on HC but...
Essentially if company A consists of $100 in cash and company B consists of $100 in cash, then if the two companies merged company AB would consist of $200 cash.
If each had a 50% interest in the other you could not simply say company A is now worth $150 and company B is worth $150 because if they merged they would only have a combined worth of $200 not $300.
To solve the problem requires complicated maths involving simultaneous equations - I went through it in 2018 using figures current at the time which I have pasted below..
(FROM 2018)
I've just gone over this with a VCE maths student, so here goes!
BKW = Property + Building + 0.47SOL
SOL = Investments + 0.44BKW
Putting some guesstimates in the equation...
BKW property is worth 750m and building products about 350m
SOL's investments other than BKW are worth about 4400m
BKW = 750 + 350 + 0.47 SOL
SOL = 4400 + 0.44BKW
Using the scientific calculator...
BKW = 3994m (Current MC = 2448m)
SOL = 6157m (Current MC = 6600m)
Now,
BKW = 3994m = 750 + 350 + (0.47 x 6157)
and
SOL = 6157m = 4400 + (0.44 x 3994)
Which suggests to me that if SOL's MC at 6600m is reasonable then BKW is seriously undervalued...
(BKW MC today is $3849m and SOL MC today is $9528m)
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