General Discussion Undecided where to post - do it here. |
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Obviously the price of an American option is at least the price of the European option. The point is that if the interest rate is 0 and there are no dividends, it turns out that you never exercise the American option before the expiration so they are the same.
No offense, but I'm pretty sure this math is beyond your training and you couldn't have actually helped me. |
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If we are talking options in common stock , there may be many opportunities where a real investor might exercise early based on an assessment of the company, industry trends or even recent events. The American option holder may have the chance to exerercie and sell a stock for gain while the European option holder finds no value in the exercise as the stock goes back down prior to expiry. Obviously, several of these assumptions aren't actually true. They are useful mathematical constructs. |
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If we are talking options in common stock , there may be many opportunities where a real investor might exercise early based on an assessment of the company, industry trends or even recent events. The American option holder may have the chance to exerercie and sell a stock for gain while the European option holder finds no value in the exercise as the stock goes back down prior to expiry. This post is utterly ridiculous. I suggest you read a basic financial math book. Real investors, if they wish to take a market view, will resell the option for >= the intrinsic value in the market (strictly greater if implied volatility is anything other than 0). If the price was ever less than the intrinsic value then there exists a simple arbitrage. Exercising early is always suboptimal, modulo transaction costs and some minor difficulties like shorting at a retail level. |
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A long uniform slab of with mass M is sliding on a "frictionless" horizontal surface with (constant) speed S before a small, dense block with mass 2M is placed on top of the front of it by a person nearby. The small block has an initial velocity of ZERO with respect to the fixed horizontal surface so it immediately starts skidding along the surface of the moving slab. The coefficient of kinetic friction between the block and slab is Mu . As the block skids the slab slows down until the velocities of both objects with respect to the fixed surface are identical; after which they move together. ( The block does NOT reach the back of the slab and fall off!)
a) Develop an expression for the time it takes the block and slab to reach the same velocity. Express your answer in terms of g, Mu, and S. b) Find an expression for the final speed of both objects with respect to the fixed surface. c) Find the magnitude of the frictional force between the objects once the slab and block are both gliding with the same speed. |
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