Question

At the END of 6 1/2 years you owe $3,622.10. You were charged 4% (SA).


At the END of 6 1/2 years you owe $3,622.10. You were charged 4% (SA). 

A. What is the interest per conversion / compounding period? 

B. How many total conversion / compounding periods? 

C. What is the amount originally borrowed?  

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Answer #1

Solution:

A. Interest rate per semi annual (SA) period = 4%/2 = 2%

B. Total compounding periods = 6.5 years * 2 = 13 periods

C. Amount originally borrowed = Future value / (1+i)^n

= $3,622.10 / (1.02)^13 = $2,800

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