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Marcus Dobson wants to purchase new computers for his office staff. The bank grants him a single payment loan of $22000 for 182 days at 7.75% exact interest. what is the maturity value of the loan?

Sagot :

For this, first find the exact interest

[tex]\begin{gathered} \text{ Exact Interest = Principal }\times\text{ Rate }\times\text{ Time }\div365 \\ \text{ Then you have} \\ \text{Exact Interest }=22000\times7.75\text{ \%}\times\text{ 182 }\div365 \\ 7.75\text{ \% }=0.0775,\text{ so} \\ \text{Exact Interest }=22000\times0.0775\times\text{ 182 }\div365 \\ \text{Exact Interest }=\text{ \$}850.16 \end{gathered}[/tex]

Now find the maturity value

[tex]\begin{gathered} \text{Maturity Value = Principal }+\text{ Interest owed} \\ \text{Maturity Value }=22000\text{ }+\text{ }850.16 \\ \text{Maturity Value }=\text{ \$}22850.16 \end{gathered}[/tex]

Therefore, the maturity value of the loan is $22850.16.