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Can someone help me with a math problem?  

10 independent events each with an 85% chance of occurring.

What is the probability that it doesn't happen in 9/10 cases?  8/10 cases? 7/10 cases?  etc


So if this is a binomial distribution with P(success) = .85, P(failure) = .15, and 10 trials, then

P(9 failures): 10!/(9!1!) * (0.85)^1 * (.15)^9 = .0000003

P(8 failures): 10!/(8!2!) * (0.85)^2 * (.15)^8 = .000008

P(7 failures): 10!/(7!3!) * (0.85)^3 * (.15)^7 = .0001

etc.
@caustic  This has been very helpful to my original question above--thanks.  I'd like to tweak the question and assumptions slightly.  

First, based on the above, I calculated the probability of 6 failures to be  0.12% and the probability of 5 failures to be 0.85%.  

However what if I tweak the question to read what is the probability of 6 or more failures?  And also change the chance of success to 88%.   Can you show me the equation?  Thanks.

 
I think people are relying on the Fed a bit too much. At a certain point, the Fed isn't going to pump trillions into the stock market if the dislocation between main street and wall street persists. It doesn't really help with their mandate. Not trying to turn this into a referendum on the Fed. But it seems like the market is overly relying on the Fed. The press conference will be fascinating but I wouldn't be surprised to hear Powell back off some. Just don't see the Fed proactively buying stuff although its goal of stabilizing the market has already been achieved. 
Just some random thoughts...  I agree about the relying on the Fed, but I don't think they back off.  Can't keep track of what number stimulus package were on now and there still seems to be a lot of individuals hurting and unable to get unemployment checks.  Probably result in another package which will include more Fed freedom.  Maybe the main reasons why I don't think the Fed backs off is probably better suited for discussion in the PSF.       

 
Just some random thoughts...  I agree about the relying on the Fed, but I don't think they back off.  Can't keep track of what number stimulus package were on now and there still seems to be a lot of individuals hurting and unable to get unemployment checks.  Probably result in another package which will include more Fed freedom.  Maybe the main reasons why I don't think the Fed backs off is probably better suited for discussion in the PSF.       
Doesn’t matter how much the Fed puts in the kitty if the stage don’t have the resources to process it. And the states aren’t going to be able to hire any one when the federal benefits are more enticing than what the state is offering to work for themDoesn’t matter how much the Fed puts in the kitty if the stage don’t have the resources to process it. And the states aren’t going to be able to hire any one when the federal benefits are more enticing than what the state is offering to work for them

 
I think people are relying on the Fed a bit too much. At a certain point, the Fed isn't going to pump trillions into the stock market if the dislocation between main street and wall street persists. It doesn't really help with their mandate. Not trying to turn this into a referendum on the Fed. But it seems like the market is overly relying on the Fed. The press conference will be fascinating but I wouldn't be surprised to hear Powell back off some. Just don't see the Fed proactively buying stuff although its goal of stabilizing the market has already been achieved. 
I think at this point--the future damage to currency has already been done regardless of if they agree to further stiumulous packages. The next statement I'm going to make is just for example purposes--not a political one--so please nobody reply to it--or take it in a political way.   It wasn't too long ago when people thought that Bernie was crazy for thinking that universal healthcare could exist.  It wasn't the idea of it that they thought was irrational--it was the cost of it.  Many had projected 20-30 trillion dollars over the next decade or two.  Well our government pretty much just agreed to spend something like 8-10 trillion over the past few weeks.   This is not a political post--but just think about that kind of spending in that short a period of time--and consider that many governments are printing currency at crazy rates.   Just fathom that and internalize--what does this mean to the value of this paper that they are arbitrarily printing out of thin air? Just those thoughts alone would motivate anybody who has disposable cash to put it somewhere else. 

 
Everyone in the market has easy access to cheap money. This is why you own gold, and if it gets slaughtered today by those dumb enough to think it’s a hedge against chaos (when really, it’s a hedge against central banks destroying fiat), you take advantage. With positive CV news and the Fed giving the green light to party, could get a good opportunity in the coming days on GOLD.

ETA:

Im already holding as much as I want since the teens, so it’ll prob be unpleasant for me, but a good chance to get in if you’re not holding.
What do you think of CEF? Other than physical I already had, this seems decent value. I don't want to pay current juice on physical

 
Just some random thoughts...  I agree about the relying on the Fed, but I don't think they back off.  Can't keep track of what number stimulus package were on now and there still seems to be a lot of individuals hurting and unable to get unemployment checks.  Probably result in another package which will include more Fed freedom.  Maybe the main reasons why I don't think the Fed backs off is probably better suited for discussion in the PSF.       
I guess this is just where the market is. The people who think the economic activity is bad with people hurting to get unemployment checks think the government / Treasury will just continue to pump money in. Meanwhile, we have people thinking once we turn the economy back on, our unemployment is going to drop back to sub 5%. Then we have the fact that some are staying on unemployment because they can make more that way than working. The whole thing is a mess. 

I guess it's enough to be bullish. If you think it's a V-shaped recovery, well you're buying stocks 10-20% off and if you think things are catastrophic, well the Fed will just pump trillions in. It's a win-win. 

 
Think you buy Barrick Gold into the Federal Reserve today. They want to continue their assault on anyone not worth 3 commas, this is how you play defense, imo.

Im already engorged to the gills, but I’m hopeful they inject a new leg up today for this one with a super dovish tone.
I added GOLD about a month ago off of your recommendation. Up 40%. 

DFS and MGM have also had nice returns. Thanks guys!

 
I think at this point--the future damage to currency has already been done regardless of if they agree to further stiumulous packages. The next statement I'm going to make is just for example purposes--not a political one--so please nobody reply to it--or take it in a political way.   It wasn't too long ago when people thought that Bernie was crazy for thinking that universal healthcare could exist.  It wasn't the idea of it that they thought was irrational--it was the cost of it.  Many had projected 20-30 trillion dollars over the next decade or two.  Well our government pretty much just agreed to spend something like 8-10 trillion over the past few weeks.   This is not a political post--but just think about that kind of spending in that short a period of time--and consider that many governments are printing currency at crazy rates.   Just fathom that and internalize--what does this mean to the value of this paper that they are arbitrarily printing out of thin air? Just those thoughts alone would motivate anybody who has disposable cash to put it somewhere else. 
We were laughing about this yesterday. Also not trying to bring anything political into the thread but it is funny. 

Bernie: 'Um, hey, those are all my ideas.' 

 
  • Thanks
Reactions: JAA
FOMC today and important factor in if $SPX sees 3k. Bears had a shot yesterday but failed so far - shooting star candle & new high with bearish daily RSI divergence. Key levels now: Bears need to confirm the shooting star by losing 2850, otherwise we continue to my ~200dma target

What does Mancini mean here? :)
he has cancer

 
Tankers giving you another chance to hop in. API showed an inventory build of JUST 10 million barrels compared to the expected 10.6 million barrels. Is down from last week of 13.2 million barrel build. Similar, EIA showed build of 9 million versus expectations for 11 million. Crude oil only cut by 100k b/d. Obviously the hope to reopen the economy is weighing on them. But not really seeing how storage is going to be solved anytime soon. 

 
I’m very bad at this.  Sold DFS and BLMN yesterday to lock in some profits, both up 10% today.  Didn’t sell FRO and DHT when they were up 10% yesterday, now watching them down 15% from there.  
Congrats on acknowledging that we, generally, know nothing.

I'm enjoying the DFS ride up.

 
Boeing up pre-market with an ugly report but free cash flow was better than expected. It sure seems like people are looking for the one shred of good news, especially since these are Q1 numbers. Q2 numbers are what’s going to be truly ugly. I can the market staying flat but a new bull just seems insane. It’s going to take a while to get everyone back to work. Do we really think companies that have trimmed a lot are immediately going to hire everyone back and if not, consumer spending is going to fall short of expected. I can see the Fed/Government propping everything up but I see a sideways move for a while as our best scenario.
This makes sense to me.  Everyone knew actual dollar figures and dollar guidance were going to be awful.  No one is buying planes, and their planes are broken.  We already knew all that, that's why the stock is down 70% from a few months ago.  At this point the only question left for investors is will this company go bankrupt and go to zero, or can I buy it at a huge discount and get a company that is likely going to have a lot of that corrected several years from now.

I think that makes sense.  The only question for investing in Boeing right now is will it go under.  The scenarios where Boeing doesn't file but is still only worth $130 or less five years from now are slim.  So the question is will they file.  In that sense that was the only news out of earnings that mattered.  A sliver of news that implied they were a little less likely to file, so the stock reacted to that.  "Priced in" is cliche but the actual dollar figures for Boeing could not have been more obviously priced in to any stock ever.

 
Congrats on acknowledging that we, generally, know nothing.

I'm enjoying the DFS ride up.
Yes, and I'm planning on staying on this DFS train for a while.  The short-term gains are tempting to take, but I bought for the long haul and will continue to resist capturing. 

 
Yes, and I'm planning on staying on this DFS train for a while.  The short-term gains are tempting to take, but I bought for the long haul and will continue to resist capturing. 
I'm in the same boat *snicker with CCL and DAL.  This is play money for me.  I hate staring at 11% and 40% :stalker:  gains, but I feel like this is only the beginning of the ride up for these 2.

 
Also sounds like the important GILD news will be at the coronavirus task force press conference. GILD just said it met primary endpoint. But have to assume if they are going to announce it at task force, then it's super positive. Assume market is already pricing that in so who knows if it's a buy the rumor, sell the news. But may be worth some OTM calls after Powell.

 
More and more everyday I'm thinking no.  Don't fight the fed.  Seems like they'll keep dumping in whatever they can and I don't expect that to stop anytime soon.  Lots of forward thinking and giving passes on any negative Q1 results too.  I expect the same for Q2.  Other things that I keep hearing is all these big money guys on CNBC saying how they still have 40-60% cash.  What kind of bounce will we get when they decided to get back in?  
I think you're kinda right.  Sadly I have high cash levels still too.  At this point I'm willing to accept I may have missed the train.  But I think there's another train that will pull into the station in real estate soon.  There's no way in my mind we don't see tremors from all this in rental properties and people who have mortgages relying on rental income to pay those mortgages who are going to be wiped out.  I'm going to be looking there with my cash when the time comes.

 
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What do you think of CEF? Other than physical I already had, this seems decent value. I don't want to pay current juice on physical
I have no opinion. I was between Newmont and Barrick when I first started shifting my IAU into a miner, I like both of them, but the way GOLD has almost eliminated their debt in the last couple of years shows me their a smart responsible company who will eventually reward shareholders as their balance sheet becomes stronger. 

ETA: for the metal, I like IAU, for the miner, I like GOLD.

 
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If we close where we are now on the S&P, we will be higher than we were on Feb 28.  We were still two weeks from shutting things down at that point.  This is why I'm not qualified to be a market expert, that is so irrational to me.  Obviously the market is future looking but that's an extreme "wow" to me.  I rode some S&P index funds from around the 2400 level to around 2660 and sold off there thinking we were going to have another leg down.

 
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White house advisor sees "Cash" phase of economic Rescue winding down.

WASHINGTON — With the U.S. economy poised for a sharp rebound, it is time for policy to move from a "cash" rescue phase to focus on more long-term measures that can underpin growth, a top White House adviser said on Wednesday.

"I think the liquidity and cash phase is coming to an end," National Economic Council Director Larry Kudlow told Fox Business Network when asked if a fourth coronavirus relief bill was needed.

"Now I'd like to see a more incentive-minded approach that will get this economy roaring," he said, citing a White House wish list that includes a payroll tax holiday, small business regulatory relief, infrastructure spending and liability protection for businesses that are reopening.
Fed done speed-balling the market? 

 
If we close where we are now on the S&P, we will be higher than we were on Feb 28.  We were still two weeks from shutting things down at that point.  This is why I'm not qualified to be a market expert, that is so irrational to me.  Obviously the market is future looking but that's an extreme "wow" to me.
Yeah makes no sense.

If it's so future thinking then things would never go down

 
@caustic  This has been very helpful to my original question above--thanks.  I'd like to tweak the question and assumptions slightly.  

First, based on the above, I calculated the probability of 6 failures to be  0.12% and the probability of 5 failures to be 0.85%.  

However what if I tweak the question to read what is the probability of 6 or more failures?  And also change the chance of success to 88%.   Can you show me the equation?  Thanks.
No problem -- there's not a smooth formula for cumulative probability with a binomial distribution, but with only 10 trials it's easy enough to calculate each probability individually and add them up. So if P(success) = .88 now, we tweak some numbers and get this:

P(10 failures): 10!/(10!0!) * (0.88)^0 * (.12)^10 = .0000000006

P(9 failures): 10!/(9!1!) * (0.88)^1 * (.12)^9 = .00000004

P(8 failures): 10!/(8!2!) * (0.88)^2 * (.12)^8 = .00000149

P(7 failures): 10!/(7!3!) * (0.88)^3 * (.12)^7 = .0000293

P(6 failures): 10!/(6!4!) * (0.88)^4 * (.12)^6 = .00038

To calculate the cumulative probability P(6 or more failures), you just add up those values to get roughly 0.04%.

 
I think you're kinda right.  Sadly I have high cash levels still too.  At this point I'm willing to accept I may have missed the train.  But I think there's another train that will pull into the station in real estate soon.  There's no way in my mind we don't see tremors from all this in rental properties and people who have mortgages relying on rental income to pay those mortgages who are going to be wiped out.  I'm going to be looking there with my cash when the time comes.
Worst case, I'll go try and invest in small businesses that get left out in the cold. I mean what is buying a bar going to cost? Will be the last to reopen. Likely 33%-50% capacity for a while. 

 
EAT beat earnings significantly this morning and made me look like a fool for selling beforehand -- up 28% today. ############  :rant:

 
Worst case, I'll go try and invest in small businesses that get left out in the cold. I mean what is buying a bar going to cost? Will be the last to reopen. Likely 33%-50% capacity for a while. 
I'm also looking into getting into the rental property game in the year to come.  Something I've always wanted to do and this might be my chance.

 
Seems like the earnings play right now might be just to play all earnings on the positive side.  If the earnings underperform then it bounces most of the way back within a day anyway (IBM, AMD).  If the earnings have even slight unexpected good news then the stock blows up (GOOGL, BA).

 
You gotta be freaking kidding. Buy Lowe's and HD before next earnings? I just turned around and left. Never seen it that packed.

 
Leronlimab bias aside, still have some concerns about GILD dealing from the bottom of the deck here when considering the risks involved with Remdesivir.  
I agree. I've done enough reading on Remdesivir to feel it's not a very viable resolution. It will help, but side effects are terrible and its efficacy still concerns me as well. @chet I have to imagine with your CYDY interest you've looked into Gilead as much as anyone, what's your take? 

 
Seems like the earnings play right now might be just to play all earnings on the positive side.  If the earnings underperform then it bounces most of the way back within a day anyway (IBM, AMD).  If the earnings have even slight unexpected good news then the stock blows up (GOOGL, BA).
Sure looks like it.

 
I do think Remdesivir will have fast track for approval regardless. I mean, I hope there are enough checks and balances in place to control someone from fast tracking something that has shown the potential for serious side effects, but I don't see that happening.

I honestly see it getting fast tracked more to boost confidence than for serious medical benefits. 

 
I think you're kinda right.  Sadly I have high cash levels still too.  At this point I'm willing to accept I may have missed the train.  But I think there's another train that will pull into the station in real estate soon.  There's no way in my mind we don't see tremors from all this in rental properties and people who have mortgages relying on rental income to pay those mortgages who are going to be wiped out.  I'm going to be looking there with my cash when the time comes.
Our non payments this month were only up 1% when I looked at them on the 7th. I’ll  update you in two weeks

 
Seems like Fauci already dropped the bomb: 

*FAUCI: - GILEAD TRIAL SHOWS SIGNIFICANT POSITIVE EFFECT ON VIRUS - WILL DO TRIAL WITH ANTI-INFLAMMATORY, REMDESIVIR - GILEAD DATA SHOWS `A DRUG CAN BLOCK THIS VIRUS' - SIGNIFICANT POSITIVE EFFECT IN DIMINISHING RECOVERY TIME - DATA SHOWS REMDESIVIR `CLEAR CUT' POSITIVE EFFECT

 
First time ever my CYDY has been upside down and in the red based on my cost basis
CYDY is really dragging my return down. 4 holdings, 1 up over 40%, 2 up over 12%, cydy down 1% (I was late to that party)

Yeah makes no sense.

If it's so future thinking then things would never go down
I wonder how much of this is people with money continuing to invest and investing more because their expenses have decreased. 

 
Seems like Fauci already dropped the bomb: 

*FAUCI: - GILEAD TRIAL SHOWS SIGNIFICANT POSITIVE EFFECT ON VIRUS - WILL DO TRIAL WITH ANTI-INFLAMMATORY, REMDESIVIR - GILEAD DATA SHOWS `A DRUG CAN BLOCK THIS VIRUS' - SIGNIFICANT POSITIVE EFFECT IN DIMINISHING RECOVERY TIME - DATA SHOWS REMDESIVIR `CLEAR CUT' POSITIVE EFFECT
Him I kinda believe, interesting. 

 
No problem -- there's not a smooth formula for cumulative probability with a binomial distribution, but with only 10 trials it's easy enough to calculate each probability individually and add them up. So if P(success) = .88 now, we tweak some numbers and get this:

P(10 failures): 10!/(10!0!) * (0.88)^0 * (.12)^10 = .0000000006

P(9 failures): 10!/(9!1!) * (0.88)^1 * (.12)^9 = .00000004

P(8 failures): 10!/(8!2!) * (0.88)^2 * (.12)^8 = .00000149

P(7 failures): 10!/(7!3!) * (0.88)^3 * (.12)^7 = .0000293

P(6 failures): 10!/(6!4!) * (0.88)^4 * (.12)^6 = .00038

To calculate the cumulative probability P(6 or more failures), you just add up those values to get roughly 0.04%.
Nobody told me we have Quants here!

 
Him I kinda believe, interesting. 
Yeah, I mean the issue is even if it shows benefits, doesn't make it a panacea. I don't think I really want to bet one way or the other on what happens when the data comes out. Could see it being positive but isn't going to suddenly result in us sitting next to each other at a baseball game. It is the same guy who said a flare up in the fall is inevitable. 

 

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