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What is the maturity value of a 600,000 loan for 10 days at 12.2% interest using the exact interest method?

Sagot :

Given:

loan amount = 600 000

time duration = 10 days

interest rate = 12.2%

The maturity value (MV) is calculated using the formula:

[tex]\begin{gathered} MV\text{ = amount loaned + interest} \\ =\text{ P(1 + rt)} \\ \text{Where P is the amount loaned} \\ r\text{ is the rate of interest} \\ \text{and t is the time} \end{gathered}[/tex]

Substituting we have;

[tex]MV\text{ = 600000(1 + 0.122}\times\frac{10}{365})[/tex]

Since there are 365 days in a year.

Simplifying we have:

[tex]\begin{gathered} MV\text{ = 600000}\times1.003342466 \\ =\text{ 602005.4795} \\ \approx\text{ 602005.48} \end{gathered}[/tex]

Hence, the maturity value is about 602005.48.

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