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Suppose you have been offered two loan options: one at 4% simple interest for 5 years, and one at 5% simple interest for 4 years

Finance Jun 23, 2021

Suppose you have been offered two loan options: one at 4% simple interest for 5 years, and one at 5% simple interest for 4 years.

 

Which one will result in the lesser interest charge?

 

Does it depend on the principal? 

 

Please use this formula:

 

I= P*R*T

P= Principle

R= Interest Rate

T= Time

Expert Solution

Computation of Simple Interest:

Simple Interest = Principal*Rate*Time

 

For Option 1st:

Simple Interest = Principal*4%*5 

= Principal*0.20 or 0.20 P

 

For Option 2nd:

Simple Interest = Principal*5%*4 

= Principal*0.20 or 0.20 P

 

 

It will be depending upon the principal amount because the simple interest is calculated without undertaking interest on interest and it is directly calculating the effect of interest rate along with years.

If the interest and number of years are similar then the interest portion will be similar but if the principal amount is changing then the overall simple interest which will be charged will change, so it will be dependent upon the overall principal amount.

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