Differnt finacial institutions,A, B, C are offering different rates on loans if A offers 3.15% annual interst compounded monthly B offers 2.25%compounded quarterly C offers 2.05% compounded daily. dertermine which insitiution offers best deals

Answer :

Answer:3.15 %

Step-by-step explanation:

    Given

3.15 % compounded monthly

2.25 % quarterly

2.05 % daily

(a)A=P[tex] \left [ 1+\frac{r}{n}\right ]^{nt}[/tex]

A=P [tex]\left [ 1+\frac{0.0315}{12}\right ]^{12t}[/tex]

Suppose t= 1 year

A=1.031958 P

(b)A=[tex] \left [ 1+\frac{r}{n}\right ]^{nt} [/tex]

A=[tex]\left [ 1+\frac{0.025}{4}\right ]^{4t} [/tex]

A=1.022690 P

(iii)For 2.05 daily

A=[tex] \left [ 1+\frac{0.0205}{365}\right ]^{365t}[/tex]

For t=1 year

A=1.020709 P

thus Compound interest compounded monthly at 2.05% interest offers best deal as it sums up to least.

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