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#bonds #duration #finance

Formally, modified duration is a *semi-*elasticity, the *percent* change in price for a *unit* change in yield, rather than an elasticity, which is a percentage change in output for a *percentage* change in input.

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ge point change in yield per year (for example yield going from 8% per year (y = 0.08) to 9% per year (y = 0.09)). This will give modified duration close to the value of Macaulay duration (and the same when rates are continuously compounded). <span>Formally, modified duration is a semi-elasticity, the percent change in price for a unit change in yield, rather than an elasticity, which is a percentage change in output for a percentage change in input. Modified duration is a rate of change, the percent change in price per change in yield. In derivatives pricing ("The Greeks"), the closest analogous quantity is Rho, which is the price elasticity (percentage change in price for percentage change in interest rate),

Tags

#calculus #elasticity #has-images #mathematics

Question

In mathematics, the **elasticity** or **point elasticity** of a positive differentiable function *f* of a positive variable (positive input, positive output)^{[1]} at point *a* is defined as^{[2] }**using functions and their derivatives**

[actual formula]

Answer

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ad><head>In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output)[1] at point a is defined as[2] using functions and their derivatives meaning in words: It is thus the ratio of the relative (percentage) change in the function's output \(f(a)\) with respect to the relative change in its input \(a\), for infinitesimal chan

er:filter:minify-css:7:3904d24a08aa08f6a68dc338f9be277e */ Elasticity of a function From Wikipedia, the free encyclopedia Jump to: navigation, search <span>In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output)[1] at point a is defined as[2] or equivalently It is thus the ratio of the relative (percentage) change in the function's output with respect to the relative change in its input , for infinitesimal changes from a point . Equivalently, it is the ratio of the infinitesimal change of the logarithm of a function with respect to the infinitesimal change of the logarithm of the argument. The elasticity of a function is a constant if and only if the function has the form for a constant . The elasticity at a point is the limit of the arc elasticity between two points as

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#calculus #elasticity #has-images #mathematics

Question

In mathematics, the **elasticity** or **point elasticity** of a positive differentiable function *f* of a positive variable (positive input, positive output)^{[1]} at point *a* is defined as^{[2] }**using functions and their derivatives**

meaning in words: [...]

Answer

It is thus the ratio of the relative (percentage) change in the function's output \(f(a)\) with respect to the relative change in its input \(a\), for infinitesimal changes from a point .

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the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output)[1] at point a is defined as[2] using functions and their derivatives meaning in words: <span>It is thus the ratio of the relative (percentage) change in the function's output \(f(a)\) with respect to the relative change in its input \(a\), for infinitesimal changes from a point . <span><body><html>

er:filter:minify-css:7:3904d24a08aa08f6a68dc338f9be277e */ Elasticity of a function From Wikipedia, the free encyclopedia Jump to: navigation, search <span>In mathematics, the elasticity or point elasticity of a positive differentiable function f of a positive variable (positive input, positive output)[1] at point a is defined as[2] or equivalently It is thus the ratio of the relative (percentage) change in the function's output with respect to the relative change in its input , for infinitesimal changes from a point . Equivalently, it is the ratio of the infinitesimal change of the logarithm of a function with respect to the infinitesimal change of the logarithm of the argument. The elasticity of a function is a constant if and only if the function has the form for a constant . The elasticity at a point is the limit of the arc elasticity between two points as

First Aid for the Psychiatry Clerkship is your must read.

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ied for and done well on your shelf exams, UW and Wikipedia will be sufficient for Step 2 CK. While UW is, I believe, indispensable for several of the shelf exams, it is not sufficient. Here’s how I would approach each clerkship: Psychiatry <span>First Aid for the Psychiatry Clerkship is your must read. It’s extremely quick, readable, and hits everything. You can read this book in a day if you want to; it’s that short. The only book you would need after FA is Case Files Psychiatry. It’s

The only book you would need after FA is Case Files Psychiatry.

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fficient. Here’s how I would approach each clerkship: Psychiatry First Aid for the Psychiatry Clerkship is your must read. It’s extremely quick, readable, and hits everything. You can read this book in a day if you want to; it’s that short. <span>The only book you would need after FA is Case Files Psychiatry. It’s a good volume in the series, and some of the cases do a nice job of distinguishing between adjustment disorder in its many forms (recognizing adjustment disorder versus MDD, GAD, ac

Case Files Obstetrics and Gynecology is your first book of the rotation.

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All of them. You also need to pay special attention to medical disorders with psychiatric manifestations (depression and pancreatic cancer, Addison’s disease; pheochromocytoma or carcinoid tumors masquerading as panic disorder; etc). Ob/gyn <span>Case Files Obstetrics and Gynecology is your first book of the rotation. When in doubt, you can always get through a Case Files book quickly and know that it will hit the highlights (i.e. common board/pimping questions). It’s an excellent foundation for your

Question

Case Files Obstetrics and Gynecology is your first book of the rotation.

Answer

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All of them. You also need to pay special attention to medical disorders with psychiatric manifestations (depression and pancreatic cancer, Addison’s disease; pheochromocytoma or carcinoid tumors masquerading as panic disorder; etc). Ob/gyn <span>Case Files Obstetrics and Gynecology is your first book of the rotation. When in doubt, you can always get through a Case Files book quickly and know that it will hit the highlights (i.e. common board/pimping questions). It’s an excellent foundation for your

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tionsGrand DrawHow To Find UsStall BookingAdvertising/SponsorshipProgrammePressGalleryLinksContact2014 Sponsors Home Welcome to the Dunsford Show <span>Set in the glorious Teign Valley, the Dunsford Show is a Devon village show at its best. Full of fun-packed family entertainment you are assured of a fantastic day out. Live music, horse show, cheerleaders, childrens tent, beer tent to name but a few - there is something for everyone! Dunsford is a unique and special village situated on the edge of the spectacular Dartmoor National Park and just 15 minutes drive from Exeter. It has a strong community that supports var

Tags

#calculus #mathematics

Question

Elasticity is [change of what with respect to change of what].

Answer

percent change of the output divided by percent change of the input

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Tags

#calculus #mathematics

Question

Formula for elasticity of a discrete function

Answer

\(\epsilon{_{YX}}=\frac{\Delta Y / Y}{\Delta X / X}\)

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Tags

#calculus #mathematics

Question

Formula for elasticity of a continuous function

Answer

\(\epsilon_{YX}=\frac{dY/Y}{dX/X}\)

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Tags

#calculus #mathematics

Question

Explain elasticity visually, using slopes

Answer

Elasticity is the slope of the function f(x), i.e. \(\frac{df(x)}{dx}\), divided by the slope of the chord line, y/x

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Tags

#mathematics #pre-calculus

Question

What is the discriminant \(\Delta\) of a quadratic equation \(a^2x+bx+c = 0\)

Answer

\(\Delta = b^2 - 4ac\)

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#finance #swaps

An **overnight indexed swap** (**OIS**) is an interest rate swap where the periodic floating rate of the swap is equal to the geometric average of an overnight rate (or overnight index rate) over every day of the payment period.

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ader:filter:minify-css:7:3904d24a08aa08f6a68dc338f9be277e */ Overnight indexed swap From Wikipedia, the free encyclopedia Jump to: navigation, search <span>An overnight indexed swap (OIS) is an interest rate swap where the periodic floating rate of the swap is equal to the geometric average of an overnight rate (or overnight index rate) over every day of the payment period. The index rate is typically the rate for overnight unsecured lending between banks, for example the Federal funds rate for US dollars, Eonia for Euros or Sonia for sterling. The fixed ra