Question

Monthly deposits of $62.50 are made into a savings account for three consecutive years. One year later $2550 is withdrawn from the account, leaving the account empty. Draw the cash flow diagram from the bank s perspective assuming interest is paid once per year 3. You open a savings account on January 1 with $150 deposit (call this Time 0). The account pays interest at the end of every month. Over the rest of the year, you make the following deposits: 4. Deposit Date April 4 June 6 une 9 July 12 October 9 December 7 Deposit Amount $400 $500 $100 $700 $400 $1000 Draw the cash flow diagram.

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Answer #1

Ans for No 3)

Given that Monthly deposits- $62.50

Time- 3 years

End of the 4th year $2550 was drawn.

Assuming interest made once in a year= 10%

1st year; Cash Inflows

Jan (62.5*1) 62.5
Feb 62.5*2 125
Mar 62.50*3 187.5
April 62.50*4 250
May 62.50*5 312.5
June 62.50*6 375
July 62.50*7 437.5
August 62.50*8 500
Sep 62.50*9 562.5
Oct 62.50*10 625
Nov 62.50*11 687.5
Dec 62.50*12 750
Interest 10% 750*10%=75 750+75

825

2nd Year; Cash Inflows

Jan 825+62.5 887.5
Feb 825+62.5*2 950
Mar 825+62.5*3 1012.5
April 825+62.5*4 1075
May 825+62.5*5 1137.5
June 825+62.5*6 1200
July 825+62.5*7 1262.5
August 825+62.5*8 1325
Sep 825+62.5*9 1387.5
Oct 825+62.5*10 1450
Nov 825+62.5*11 1512.5
Dec 825+62.5*12 1575
Interest 10% 1575*10%=157.5 1575+157.5 1732.5

In 3rd Year; Cash Inflows

Jan 1732.5+62.5 1795
Feb 1732.5+62.5*2 1857.5
Mar 1732.5+62.5*3 1920
April 1732.5+62.5*4 1982.5
May 1732.5+62.5*5 2045
June 1732.5+62.5*6 2107.5
July 1732.5+62.5*7 2170
August 1732.5+62.5*8 2232.5
Sep 1732.5+62.5*9 2295
Oct 1732.5+62.5*10 2357.5
Nov 1732.5+62.5*11 2420
Dec 1732.5+62.5*12 2482.5
Interest 10% 2482.5*10%=248.25 2482.5+248.25 2730.75

In 4th year;

There were no installments;

therefore Total amount with Interest 10% at the end of 4th year= 2730.75+ 2730.75*10%=3003.825

Less; amount withdrawn - 2550 (Cash Outflow)

Amount remaining- 3003.825-2550=453.825

Note; As HOMEWORKLIB RULES mandatory guidelines answering the first full question

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