Hello,
I will try to solve it easier way.
Please remember, as question mentioned , that cash flows occurs at the end of the month, which means interest will be earned / paid only on the next month 1st day. (please notice the date & when cash flow occurs)
Jan 1 : $2000000 (Opening balance) @ 4% / 12 = 6666.67
Feb : $2000000(previous balance) + $2000000(Jan - end- cash flow) @ 4% / 12 = 13333.33 (Now there is 4m in the account which will earn 4% interest)
Mar 1 : $4000000 (previous balance) + $1000000(Feb -end- cash flow) @ 4% / 12 = 16666.67 (Now there is 5m in the account which will earn 4% interest)
Apr 1 : $5000000 (previous balance) & -5000000(mar - end- cash outflow) = 0 (Now previous total positive 5m and negative 5m of mar will be offset and there no interest gain or loss)
May 1 : -$3000000 (Apr - end- cash outflow) @ 8% / 12 = -$20000 (Now there is -3m cash deficit & 8% interest will be charged for using the line of credit)
Jun 1 : -$3000000 (previous balance) & -$2000000 (May - end- cash outflow) @ 8% / 12 = -$33333.33 ( Now interest must be paid for both previous and current negative balance @ 8%)
Now adding everything = $6666.67 + $13333.33 + $16666.67 + $0 - $20000 - $33333.33 = -$16666.67 (Negative "interest paid")
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SHAIBAN AHMED HAJI FAQUIH
Accountant
DUBAI
United Arab Emirates
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Original Message:
Sent: 01-25-2022 11:18 AM
From: Meenakshi Ramakrishnan
Subject: CMA Practice Question
Can Someone help me how to approach this question?
Mandel Inc. has a zero-balance account with a commercial bank. The bank sweeps any excess cash into a commercial investment account earning interest at the rate of 4% per year, payable monthly. When Mandel has a cash deficit, a line of credit is used which has an interest rate of 8% per year, payable monthly based on the amount used. Mandel expects to have a $2 million cash balance on January 1 of next year. Net cash flows for the first half of the year, excluding the effects of interest received or paid, are forecasted (in millions of dollars) as follows.
Jan Feb Mar Apr May Jun Net cash inflows ($) +2 +1 -5 -3 -2 +6
Assuming all cash-flows occur at the end of each month, approximately how much interest will Mandel incur for this period?
$17,000 net interest paid.
$53,000 net interest paid.
$76,000 net interest paid.
$195,000 net interest paid.
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Meenakshi Ramakrishnan
Student
Chennai TN
India
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