I have 100 shares of stock X which I am very long-term bullish on, and lately I've been considering selling those 100 shares and buying a LEAP for as far out as possible instead. The furthest I can buy expires in January 2020.  But I'm not positive that if the stock went up $100 between now and January 2020, that I would make the same amount as I would just owning my 100 shares.  How can I calculate it to be sure? I know the option greeks but don't they change over time? Or is it that once you've bought one, they stay the same for the duration of ownership? Do I need to pull out some Black-Scholes for this?  For instance, if I own 100 shares and the stock moves up $100, I gain $10,000 (100 x 100). But if I owned a single LEAP, would I have gained $10,000? I suppose it depends on the delta....see, here's where I get stuck. I don't know.
I don't really know how to anticipate the changes in an option's price.  If I have an call set to expire the following Friday at $10 above the current share price, I know in the absence of other changes it loses value with each day that passes getting closer to its expiration. (Talking about American options.) But it gains value as the share price gets closer to the strike price.  So, if two days pass but the stock goes up $3, would the option have gained value or lost value? Is there any way to calculate this?
Value of $\frac{x^n -a^n}{ x-a}$? What happens if you miss a connecting flight? Whenever light rays are entering a denser medium they bend towards the normal.  Why do rays choose the path towards the normal? Why cannot they choose the path away form the normal? My friend and i would like to translate Ubuntu. where should we start? where to find translation tools? How do spell lists change if the party levels up without taking a long rest? I'm playing in a D&amp;D 5e campaign with a bard and a wizard.  Our most recent session ended while we were in the middle of exploring a dungeon. The DM informed us that we leveled up from 4 to 5.  The wizard and bard were excited to get level 3 spell slots for the first time. They began discussing the level 3 spells they were looking forward to casting at the beginning of the next session. I asked, "Don't you guys need to have a long rest before you can cast new spells, though?"  The bard argued that he doesn't need a long rest, because he learns spells immediately upon leveling up and doesn't need to prepare them.  The wizard argued his "number of spells available" count increased immediately upon leveling up, and it wouldn't make much sense if his actual number of prepared spells stayed the same.  Ultimately, the DM decided that it would be more fun if everyone got access to their new toys at the same time. He permitted the wizard to add a level 3 spell to his prepared spell list.  Who is right? Do bards (and other casters that do not prepare spells) get access to new spells more immediately than wizards (and other casters that prepare spells)?  I looked at , but "Can a mage use his newly gained 2nd-level spell slot?" seems like a separate matter from "Can a mage use a newly gained spell?". g++ undefined reference with a shared library Are +1/+1 counters different from +1/+1 effects? Is a +1/+1 counter I get from, say Unleash or Undying different than +1/+1 from something like  or ? How do I get rid of eggs? How to hide the [@] in a Minecraft command block For regression problem, I have seen people use "coefficient of determination" (a.k.a R squared)  to perform model selection, e.g., finding the appropriate penalty coefficient for regularization.   However, it is also common to use "mean squared error" or "root mean squared error" as a measure of regression accuracy.  So what is the main difference between these two? Could they be used interchangeably for "regularization" and "regression" tasks?  And what are the main usage of each in practice, such as in machine learning, data mining tasks? How do I transfer a file to my server using PuTTY? I have a .bash_profile in my home directory, but it isn't getting run on login. If I do the following, then things seem to be as I expect:  ssh myhost bash source ~/.bash_profile   But normally that all happens on login. Thoughts? Does That's very sweet of you  in the US sound like That's very sweef you? the of is only speak f and link with swee Word 2010 Number of pages without first page I show the number of pages as 1 / 4, with 4 being the total number of pages. But I do not want to count the first page.  Important: I know how to do it for the current page number (Starting at ..), I mean the total number of pages.  So if the document has one cover page + 3 pages, I want to show it as 1/3, 2/3 ..., not as 1/4. I need to prove that the center of $A_n$ is trivial for $n \geq 4$.  $Z(A_3) = A_3$, since $A_3 = \mathbb{Z}/3\mathbb{Z}$ is commutative.  One idea is two use "counting" technique. First of, all we count cojugacy classes of even permutations in $S_n$. It's the classes correspodning to the types $[\lambda_1, ..., \lambda_r]$ where $n \equiv r \mod 2$  Now, the conjugacy class in $S_n$ correspoding to the type $[\lambda_1, ..., \lambda_r]$ splits into two equal-sized classes in $A_n$ if $\lambda_1, ..., \lambda_r$ are distinct odd numbers. If they aren't then it is preserved in $A_n$.  Then we can use "the counting formula"(  ) of elements in each "even" class of $S_n$ and divide one by $2$ if needed.  Still, I'm not sure if it can be done. Seems to be a lot of work there. Maybe there are other, he easier ways? Or, maybe, it is the way, in this case, I wouild appreciate any advices. Problem with installing Steam on Ubuntu 15.04+ Suppose someone from "Harry's world" married a Muggle, and they want to escort their child. Can the Muggle parent get through to the Hogwarts platform? How to terminate a background process? I have started a wget on remote machine in background using &amp;. Suddenly it stops downloading. I want to terminate its process, then re-run the command. How can I terminate it?  I haven't closed its shell window. But as you know it doesn't stop using Ctrl+C and Ctrl+Z. I used a  for Photoshop, and was able to create some boxes with it. These boxes were shaped in the form of Software Boxes, while I require Customized Dimensions Boxes, which currently I'm trying to create with .   This software creates a box with no Reflection, and I disabled shadows in it, cause it doesn't allow transparency while saving to png. It allows custom dimensions, rotation, etc settings, but doesn't save transparency or reflections.  Here's the difference in output from both the above mentioned apps.. I'm trying to get the reflection + shadow in the 3D box Generator to the Protomissume generated image.   My question: How can I create similar Reflection &amp; Shadow in Photoshop?   Images:  3D Box Generator   Protomissume Box Shot   Thanks for any help.  Here are the Box Shot images (Photoshop, Protomissume) :  [  ] How do you tell if a D&D book is 3.0 or 3.5?