Finantial Math problem verification: price of a product, devaluation and type of change

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The problem is:

"Which would be the price, in Mexican Pesos (MXN) that would have a car in five years, if its actual value is US 28,567? Consider that its price increments in a 1.2% each semester and that the currency (MXN) is devalued by 12% each month, the current dollar rate is $12.80 (Cost in MXN per dollar).


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My Solution:

As the price of the car increments itself in a 1.2% each semester, in five years (10 semesters) its price would be:

$$m(1+x)^n$$

Where $m$ is the actual value, $x$ is the %, and $n$ is the period of times" so:

$$28,657(1+0.012)^{10}=32,186$$

In the other hand, the devaluation of the MXN by 0.37% each month implieas that the dollar increases in the same %, so, the dollar rate in five years (60 month) will be:

$$12.86(1+0.0037)^{60}=15.975$$

So, the convertion to MXN would be the product of this two values:

$$(32,186)(15.975)=514,179.9983 MXN$$