Help with Finance practice questions

Question

1. Lynn had a $2,000 personal loan at 9.5% for 18 months. Suppose that she is given the choice between the level method and the rule of 78 method and that she wants to pay off the remaining balance after a year of making monthly payments. Which method would she choose, and what difference in interest would she pay?

 

2. Calculate the average daily balance (ADB) and the finance charge on Drew’s account that has 9.5% APR and a 30-day billing cycle. His January statement shows:
$425.89 balance carried from December
$133.15 K-Mart charge on January 5
$76.95 Greek Cuisine restaurant charge on January 8
$150.00 payment paid on January 10
$25.25 Texaco gas charge on January 11
$33.15 Target charge on January 21
$80.00 health club charge on January 26

 

 

Answer 1

Question One:
Best method to use is the level method.
Why?
1. 78 Rule method:
For a 18 months  term loan, the 78 rule factor will be nx(n+1)/2 for denominator and n for numerator where n is number of month in the loan. 
Thus the factor will be 18/171.
I the borrower pays off the loan after 12 months, interest will apply to the first 12 months. The interest paid will be 18/171 of total interest for the first month, 17/171 of total interest for the second month, 16/171 for the third, etc.... till 7/171 for the 12th month.
We know that total interest would have been 9.5% of $2,000: $190.
Applying the rule 78 factors to that total interest, after one year, interest paid would be $166.6
 
2. Level method:
Using the level method, interest per month would have been $190 divided by 18, $10.555 per month.  After 12 month, total interest paid would have been $10.555 X 12 = 126.6
 
Using the level method would have saved Lynn $40.
  
Question 2
1. Calculating the billing cycle ADB:
    . carried over balance of 425.89 for 4 days thus 425.89 x 4 = 1,703.56
    . on the 5th, new balance of 559.04 for 3 days thus 559.04 x 3 = 1,677.12
    . on the 8th, new balance of 635.99 for 2 days thus 1,271.98
    . on the 10th, new balance of 485.99 for 1 day thus 485.99
    . on the 11th, new balance of 511.24 for 10 days thus 5,112.4
    . on the 21st, new balance of 544.39 for 5 days thus 2,721.95
    . on the 26th, new balance of 624.39 for 2 days thus 1,248.78
    . on the 28th, new balance of 642.24 for 3 days thus 1,926.72
Adding these number will give us a total of 16,148.5 for 30 days giving us a daily average of 16,148.5 divided by 30 = $538.28
2. Interest rate to apply
APR is 9.5%
30 days cycle rate will be  30/365*9.5% = 0.78%
3. Credit card cycle charge
ADB x 0.78% = 538.28 x 0.78% = $ 4.20