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morpeh [17]
3 years ago
6

You need some money today and the only friend you have that has any is your ‘miserly' friend. He agrees to loan you the money yo

u need, if you make payments of $20 a month for the next six months. In keeping with his reputation, he requires that the first payment be paid today. He also charges you 1.5% interest per month.
How much total interest does he expect to earn?

A.) $3.94

B.) $4.35

C.) $3.63

D.) $5.96
Business
1 answer:
Bingel [31]3 years ago
8 0

Answer:

B. The total interest = $4.35

Explanation:

The first question to answer, is  what is the present value of the annuity of the loan and then based on that the total interest can be calculated.

<h2>Present value of annuity= A x [(1-(1+r)-n)/r]*(1+r) </h2>

Where the A represents Annuity = or $20

The r represents the rate or 1.5%

and the n represents the number of periods which is 6 months

Calculating the value =

= 20 x [(1-1.015^-6)/0.015]*1.015

= 20 x [(1-0.91454219251)/0.015]*1.015

= 20*5.782644973

=$115.65

Now that the loan amount is known, the Total Interest can be calculated as follows

Total Interest= number of payments x monthly payments) - the loan amount (calculated above)

= 20 x 6 -115.65

= 120-115.65

The total interest = $4.35

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