1MS.3 MATEMÀTICA FINANCERA/1MS.3.3 EquivalènciaTaxes d'interès 1MS.3.3.21 ComparaTaxesEquivalents Dues entitats bancàries ens ofereixen el següent per un dipòsit de #C_0 €:

l'entitat A paga els interessos #f a un interès compost anual del #i_1 %
l'entitat B paga els interessos #g a un interès compost anual del #i_2 %

a) Quant ens paga d'interessos l'entitat A cada #f_2?

b) Quant ens paga d'interessos l'entitat B cada #g_2?

c) Quina és la que ens dona més interessos al cap de l'any?

Format de la resposta: arrodonida als centims.

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linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi>M</mi><mn>1</mn><mi>B</mi><mspace linebreak="newline"/><mi>c</mi><mo>)</mo><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="precision">10</option><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> a) Si es fa el pagament #f, cal dividir la taxa d'interès per #f_1 i és #i11. Atenció, no es demana el capital final, sinó l'interès generat.

b) Si es fa el pagament #g, cal dividir la taxa d'interès per #g1i és #i12. Atenció, no es demana el capital final, sinó l'interès generat.

c) Amb l'expressió: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»C«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#160;«/mo»«msub mathcolor=¨#0000FF¨»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»C«/mi»«mrow»«mn mathvariant=¨bold¨»0«/mn»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«/msub»«msup mathcolor=¨#0000FF¨»«mfenced mathcolor=¨#0000FF¨»«mrow»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»+«/mo»«mfrac»«mi mathvariant=¨bold¨»r«/mi»«mi mathvariant=¨bold¨»f«/mi»«/mfrac»«/mrow»«/mfenced»«mi mathvariant=¨bold¨»f«/mi»«/msup»«/mrow»«/mstyle»«/math»" src="http://www.insmilaifontanals.cat/moodle/lib/editor/tinymce/plugins/tiny_mce_wiris/tinymce/integration/showimage.php?formula=92a1861a115e6ef0ec8c411f8764c7b2&cw=102&ch=31&cb=20" style="vertical-align: -11px;"/>" src="http://www.insmilaifontanals.cat/moodle/lib/editor/tinymce/plugins/tiny_mce_wiris/tinymce/integration/showimage.php?formula=92a1861a115e6ef0ec8c411f8764c7b2&cw=102&ch=31&cb=20" style="vertical-align: -11px;"/> es pot calcular el capital final anual i comparar.

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