tag:blogger.com,1999:blog-17155563387720027352024-02-20T02:56:50.704-08:00Matematica FinanziariaUnknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-1715556338772002735.post-89590035910931616822015-04-24T06:08:00.001-07:002015-04-25T04:33:24.671-07:00FORMULARIO DI MATEMATICA FINANZIARIA<div dir="ltr" style="text-align: left;" trbidi="on">
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<b>INTERESSE SEMPLICE</b></div>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?I=&space;C\cdot&space;i\cdot&space;t" title="I= C\cdot i\cdot t" /></li>
</ul>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?M=&space;C\left&space;(&space;1+it&space;\right&space;)" title="M= C\left ( 1+it \right )" /></li>
</ul>
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<i>I</i> interesse, <i>i</i> tasso d'interesse, <i>t</i> il tempo, <i>C</i> capitale, <i>M</i> il montante<br />
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<img src="http://latex.codecogs.com/gif.latex?t=&space;n+\frac{m}{12}+\frac{g}{360},\,&space;\,&space;0\leq&space;m<12,\,&space;\,&space;0\leq&space;g<30" title="t= n+\frac{m}{12}+\frac{g}{360},\, \, 0\leq m<12,\, \, 0\leq g<30" /></div>
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ove <i>t</i> indica il tempo, espresso in anni (<i>n</i>), mesi (<i>m</i>) e giorni (<i>g</i>).<br />
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<span style="color: red;"><a href="http://www.matematicaeliberaricerca.com/lezioni_pagare/indice_esercizi_0.htm" target="_blank">Esempi svolti</a> - <a href="https://www.youtube.com/user/lodiablo2008/featured" target="_blank">Video</a> - Teoria - Tip & Trick</span><br />
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<b>INTERESSE COMPOSTO ANNUO</b><br />
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<ul style="text-align: left;">
<li><b><img src="http://latex.codecogs.com/gif.latex?M=C\left&space;(&space;1+i&space;\right&space;)^{t}" title="M=C\left ( 1+i \right )^{t}" /></b></li>
</ul>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?I&space;=&space;C\left&space;[&space;\left&space;(&space;1+i&space;\right&space;)^{t}&space;\right-1&space;]" title="I = C\left [ \left ( 1+i \right )^{t} \right-1 ]" /></li>
</ul>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?i_{s}&space;=&space;\frac{\left&space;(&space;1+i_{c}&space;\right&space;)^{t}-1}{t}" title="i_{s} = \frac{\left ( 1+i_{c} \right )^{t}-1}{t}" /></li>
</ul>
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<img src="http://latex.codecogs.com/gif.latex?i_{s}" title="i_{s}" /> tasso d'interesse semplice equivalente al tasso d'interesse composto annuo <img src="http://latex.codecogs.com/gif.latex?i_{c}" title="i_{c}" /><br />
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?i_{c}&space;=\left&space;(&space;1+i_{s}\cdot&space;t&space;\right&space;)^{\frac{1}{t}}-1" title="i_{c} =\left ( 1+i_{s}\cdot t \right )^{\frac{1}{t}}-1" /></li>
</ul>
</div>
<img src="http://latex.codecogs.com/gif.latex?i_{c}" title="i_{c}" /> tasso d'interesse composto annuo equivalente al tasso d'interesse semplice <img src="http://latex.codecogs.com/gif.latex?i_{s}" title="i_{s}" /><br />
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<a href="http://www.matematicaeliberaricerca.com/lezioni_pagare/indice_esercizi_0.htm" target="_blank">Esempi svolti</a><span style="color: red;"> - </span><a href="https://www.youtube.com/user/lodiablo2008/featured" target="_blank">Video</a><span style="color: red;"> - Teoria - Tip & Trick</span><br />
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<b>INTERESSE COMPOSTO FRAZIONATO</b><br />
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<ul style="text-align: left;">
<li><b><img src="http://latex.codecogs.com/gif.latex?M=C\left&space;(&space;1+i_{k}&space;\right&space;)^{t\cdot&space;k}" title="M=C\left ( 1+i_{k} \right )^{t\cdot k}" /></b></li>
</ul>
<img src="http://latex.codecogs.com/gif.latex?i_{k}=tasso\,&space;\,&space;periodale=\frac{j_{k}}{k},&space;j_{k}=tasso\,\,&space;annuo\,&space;\,&space;nominale\,&space;\,&space;convertibile\,&space;k\,&space;volte" title="i_{k}=tasso\, \, periodale=\frac{j_{k}}{k}, j_{k}=tasso\,\, annuo\, \, nominale\, \, convertibile\, k\, volte" />.</div>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?i=\left&space;(&space;1+i_{k}&space;\right&space;)^{k}-1" title="i=\left ( 1+i_{k} \right )^{k}-1" /></li>
</ul>
<i>i</i> tasso d'interesse composto annuo equivalente al tasso d'interesse composto frazionato <img src="http://latex.codecogs.com/gif.latex?i_{k}" title="i_{k}" />.<br />
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?i_{k}=\left&space;(&space;1+i&space;\right&space;)^{\frac{1}{k}}-1" title="i_{k}=\left ( 1+i \right )^{\frac{1}{k}}-1" /></li>
</ul>
<img src="http://latex.codecogs.com/gif.latex?i_{k}" title="i_{k}" /> tasso d'interesse composto frazionato equivalente al tasso composto annuo <i>i</i> .<br />
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?j_{k}=k\left&space;[&space;\left&space;(&space;1+i&space;\right&space;)^{\frac{1}{k}}&space;\right-1&space;]" title="j_{k}=k\left [ \left ( 1+i \right )^{\frac{1}{k}} \right-1 ]" /></li>
</ul>
tasso annuo convertibile al tasso annuo <i>i</i><br />
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<a href="http://www.matematicaeliberaricerca.com/lezioni_pagare/indice_esercizi_0.htm" target="_blank">Esempi svolti</a><span style="color: red;"> - </span><a href="https://www.youtube.com/user/lodiablo2008/featured" target="_blank">Video</a><span style="color: red;"> - Teoria - Tip & Trick</span><br />
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<b>TASSO VARIABILE</b><br />
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Montante a interesse semplice:<br />
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?M&space;=&space;C\left&space;(&space;1+i_{1}t_{1}&space;+i_{2}t_{2}+...+i_{n}t_{n}\right&space;)" title="M = C\left ( 1+i_{1}t_{1} +i_{2}t_{2}+...+i_{n}t_{n}\right )" /></li>
</ul>
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Montante a interesse composto:<br />
<br />
<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?M&space;=&space;C\left&space;(&space;1+i_{1}&space;\right&space;)^{t_{1}}\cdot&space;\left&space;(&space;1+i_{2}&space;\right&space;)^{t_{2}}\cdot&space;...\cdot&space;\left&space;(&space;1+i_{n}&space;\right&space;)^{t_{n}}" title="M = C\left ( 1+i_{1} \right )^{t_{1}}\cdot \left ( 1+i_{2} \right )^{t_{2}}\cdot ...\cdot \left ( 1+i_{n} \right )^{t_{n}}" /></li>
</ul>
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<a href="http://www.matematicaeliberaricerca.com/lezioni_pagare/indice_esercizi_0.htm" target="_blank">Esempi svolti</a><span style="color: red;"> - </span><a href="https://www.youtube.com/user/lodiablo2008/featured" target="_blank">Video</a><span style="color: red;"> - Teoria - Tip & Trick</span><br />
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<b><br /></b>
<b>VALORE ATTUALE DI UNO SCONTO COMMERCIALE</b><br />
<b><br /></b>
<br />
<ul style="text-align: left;">
<li style="font-weight: bold;"><img src="http://latex.codecogs.com/gif.latex?S=C\cdot&space;d\cdot&space;t" title="S=C\cdot d\cdot t" /></li>
</ul>
</div>
</div>
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<ul style="text-align: left;">
<li><img src="http://latex.codecogs.com/gif.latex?V=C\left&space;(&space;1-d\cdot&space;t&space;\right&space;)" title="V=C\left ( 1-d\cdot t \right )" /></li>
</ul>
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con<br />
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<img src="http://latex.codecogs.com/gif.latex?t&space;=&space;n+\frac{m}{12}+\frac{g}{360},\,\,&space;0\leq&space;m<&space;12,\,&space;0\leq&space;g<&space;360" title="t = n+\frac{m}{12}+\frac{g}{360},\,\, 0\leq m< 12,\, 0\leq g< 360" /><br />
<br />
<a href="http://www.matematicaeliberaricerca.com/lezioni_pagare/indice_esercizi_0.htm" target="_blank">Esempi svolti</a><span style="color: red;"> - </span><a href="https://www.youtube.com/user/lodiablo2008/featured" target="_blank">Video</a><span style="color: red;"> - Teoria - Tip & Trick</span><br />
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<span style="color: red;"><br /></span>
<b>VALORE ATTUALE CON SCONTO COMPOSTO</b><br />
<div style="text-align: left;">
<b><br /></b></div>
<ul style="text-align: left;">
<li><b><b><img src="http://latex.codecogs.com/gif.latex?V&space;=&space;C\left&space;(&space;1+i&space;\right&space;)^{-t}" title="V = C\left ( 1+i \right )^{-t}" /></b></b></li>
</ul>
<b><img src="http://latex.codecogs.com/gif.latex?t&space;=&space;n+\frac{m}{12}+\frac{g}{360},\:&space;0\leq&space;m<&space;12,\,&space;\,&space;0\leq&space;g<&space;360" title="t = n+\frac{m}{12}+\frac{g}{360},\: 0\leq m< 12,\, \, 0\leq g< 360" /></b><br />
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