Question
I appreciate your assistance. However, I am confused about the whether the bank should expand its loans by adding the deposit in the amount of
I appreciate your assistance. However, I am confused about the whether the bank should expand its loans by adding the deposit in the amount of $70,000 to excess reserves in the amount of $6,500.
($70,000 + $6,500) = $76,500, for the 1st round of deposits?
The reserve ratio is 5%.
1/RR = 1/0.05 = 20
Do I use 20 rounds of bank deposits at $6,500 or 20 rounds at $76,500?
The reading material (Hubbard & O'Brien, 2018) is confusing.
Round 1 = $76,500.00 $6,500.00
Round 2 = + $72,675.00 + $6,175.00
Round 3 = + $69,041.25 + $5,866.25
Round 3 = + $65,589.19 + $5,572.94
Round 4 = + $62,309.73 + $5,294.29
Round 5 = + $59,194.24 + $5,029.58
Round 6 = + $56,234.53 + $4,778.10
Round 7 = + $53,422.80 + $4,539.19
Round 8 = + $50.751.66 + $4,312.23
Round 9 = + $48,214.08 + $4,096.62
Round 10 = + $45,803.38 + $3,891.79
Total Deposits: $583,235.86 $49,555.99
The reading material does not say if the bank is limited to 10 rounds of deposits. As you can see from the calculations above, there is a big difference between the amount of deposits when I added the initial deposit ($70,000 + $6,500) = $76,500 (0.95) for 10 rounds of deposits.
However, if I calculate just the excess reserves of $6,500 (0.95) for 20 rounds of deposits, the bank can expand its loans by approximately $130,000. I did not show the work to save time. Please help me to understand theory.
Thank you
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