商業(yè)銀行管理課后習(xí)題答案problems5-展示頁
2025-07-05 14:35本頁面
【正文】 ity Multiplier = = Employee Productivity =Net Operating Ine=$80 $73= $175,000Ratio of Full Time Employees$40per employee 55. The rates of return requested for Shadowwood National Bank are as follows:1ROE =$105ROA=$105$15,765 $15,440$15,765 or percent or .67 percentNet Interest =$1875 $1210=$665= or percentMargin$12,612$12,612(If total assets are used as the denominator, NIM = %.) Net Noninterest Margin = = or – percent.(If total assets are used as the denominator, the noninterest margin is –%).Net Operating =($1,875+ $501) – ($1,210 + $685 + $381)=$100= percentMargin$15,765$15,765Earnings per Share = = $ per share.Alternative Scenario 1:Suppose interest ine, interest expenses, noninterest ine, and noninterest expenses each increase by 5 percent, with all other items remaining unchanged. If we assume that the 5% increase flows through to net ine, resulting in a 5% increase in net ine, then the ROE, ROA, and EPS will increase by (at least) 5% also. Actually, the scenario which does not have provision for loan losses, securities gains, and taxes increasing would result in a greater than 5% increase in net ine. This would, of course, result in the ROE, ROA, and EPS increases being greater than 5%.Alternative Scenario 2:Suppose Shadowood39。s interest ine, interest expenses, noninterest ine, and noninterest expenses decline by 5 percent, all other factors held equal. As with scenario 1, if we assume the decrease flows through to net ine, then net ine will decrease by 5%. This decrease will result in ROE, ROA, and EPS actually being greater than 5% as a result of the other items, such as provision for loan losses, taxes, and securities gains, not changing.BaseProblemAlternativeScenario 1Alternative Scenario 2Interest Ine$1875$$Interest Expense1210Net Interest Ine$ 665$ $ Provision for Loan Losses$ 381$ 381$ 381Noninterest Ine$ 501$ $ Noninterest Expense685Net Noninterest Ine($184)($)($)Net Ine Before Taxes$ 100$ $ Ine Taxes$ 16$ 16$ 16Securities Gaines (or Losses)212121Net Ine After Taxes$ 105$ $ Common Shares Outstanding145,000145,000145,000Base ProblemAlternativeScenario 1AlternativeScenario 2a. ROE%%%b. ROA%%c. NIM (1)%%% NIM (2)%%%d. EPS$$$e. NNIM (1)%%% NNIM (2)%%%f. NOM%%%g. Net Returns Before Special Transactions%%%Notes: All figures except Common Shares in millions.Equity Capital = Total Assets Total Liabilities = $ 15,765 $15,440= $ 325 (millions)Total Assets =$15,765 millionsEarning Assets = $12,612 millionsNIM(1) uses Earning Assets in the denominator。 NNIM(2) uses Total Assets56. Selected balance sheet and ine statement data for Farmers and Merchants National Bank are given as follows:Given: ROA = (., %)Total Assets = $ billion ($1,690 million)Equity Capital = $139 millionSolution:ROE = ROA * = * = or %Alternative Scenario 1:R0A increases by 50%, with no change in assets or equity capital. Therefore, the new ROA = * = or %.New ROE = % * = %This represents a 50% increase in ROE. With no changes in assets or equity, the investors39。s management has been less efficient, in this case, in managing their lending and/or investing functions or their operating costs.Alternative Scenario 3:ROA = or % (as in the original problem)Total assets double in size to $ billion and equity capital doubles in size to $278 million.Therefore, the equity multiplier (. total assets/equity capital) remains the same (. =$3,380/$278 =
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