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In: Finance

I need step wise hand written solution with formula as I have answer of following question:-...

I need step wise hand written solution with formula as I have answer of following question:-

The Provincial Bank lent $20 000 to the owner of the Purple Pelican on April 1, 2012, for commercial improvements. The loan was secured by a demand note subject to a variable rate of interest. This rate was 7% on April 1. The rate of interest was raised to 9% effective August 1 and reduced to 8% effective November 1. Partial payments, applied to the loan by the declining balance method, were made as follows: June 10, $1000; September 20, $400; November 15, $1200. How much interest is due to the Provincial Bank on December 31?

Answer =$185.08

Solutions

Expert Solution

Amount $ month days
april 29
loan Amount $20000                      20,000.00 may 31
interest till 10th june   (20000 x 7% x 70 / 365)                            268.49 june 10
total ( principal + interest)                      20,268.49 total till 10 june 70
Jun-10 Repayment                        1,000.00
Balance as on 10th June                      19,268.49 from june 11 to july 31st
June 20
interest till july 31st         (19268.49 x 7% x 51 / 365)                            188.46 july 31
Interest till 20 th Sept          (19268.49 x 9% x 51 / 365)                            242.31 51
Sep-20 Repayment                            400.00 Aug 1 to 20 Sept
Balance as on 20th Sept                      19,299.26 August 31
till 20 th Sept 20
interest till October 31st         (19299.26 x 9% x 41 / 365)                            195.11 51
Interest till nov 15th         (19299.26 x 8% x 15 / 365)                              63.45
Nov-15 Repayment                        1,200.00 sept 21st to oct 31st
Balance as on 15th Nov                      18,357.82 September 10
October 31
Interest till Nov 30th          (18357.82 x 8% x 15 / 365)                              60.35 41
interset in December 31       (18357.82 x 8% x 15 / 365)                            124.73
Interest in November balance period + December                            185.08 Till nov 15th 15
from Nov 15th till Nov 30th 15

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