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torisob [31]
3 years ago
15

Angus Bank holds no excess reserves but complies with the reserve requirement. The required reserves ratio is 8​%, and reserves

are currently ​$25 million. The amount of deposits is ​$ 312.5 million. ​(Round your response to one decimal​ place.) The reserve shortage created by a deposit outflow of ​$4 million is ​$ ____ million.
Business
1 answer:
grandymaker [24]3 years ago
3 0

Answer:

$3.68 million

Explanation:

Reserve Ratio = 8%

Reserves are currently = ​$25 million

Amount of deposits = ​$ 312.5 million

Deposit outflow = ​$4 million

Remaining Deposits =  Amount of deposits - Deposit outflow

                                  = $ 312.5 million - $4 million

                                  = $308.5 million

Current Required Reserve after outflow of deposits(CR):

= $25 million - ​$4 million

= $21 million

Therefore,

Shortage of Reserve = CR - (Remaining Deposits × Reserve Ratio)

                                   = $21 - ($308.5 × 0.08)

                                   = $21 - $24.68

                                   = -($3.68)

Therefore, the reserve shortage created by a deposit outflow of ​$4 million is ​$3.68 million

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6 0
2 years ago
You plan to retire in 19 years. At the point of retirement, you want to be able to withdraw 32,877 at the end of each year forev
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Since no any further contributions will be made to the retirement fund, the amount you need today is $172,014.

<h3>Calculation of Present Value and Present Value of a Perpetuity</h3>

The first step is to calculate the present value (PV) of the contribution at the point of retirement in 19 years using the formula for calculating the present value (PV) of perpetuity as follows:

PV in 19 years = CF / R ............................................. (1)

Where;

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CF = Cash flow or yearly expected withdrawal = $32,877

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Substituting the values into equation (1), we have:

PV in 19 years = $32,877 / 0.0502 = $654,920.3187251

The amount you need today can be calculated using the present value formula as follows:

PV = FV / (1 + r)^n ……………………………………………. (2)

Where;

PV = Present value or the amount you need today = ?

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Substituting the values into equation (2), we have:

PV = $654,920.3187251 / (1 + 0.0729)^19 = $654,920.3187251 / 3.80737505803714 =  $172,013.607470218

Rounding to the nearest dollar, we have:

PV = $172,014

Therefore, the amount you need today is $172,014.

Learn more about present value here: brainly.com/question/17322936.

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Full block style business letters have a formal appearance, anyway they can be utilized in casual business circumstances and also formal ones. In the event that you are searching for a solitary arrangement that will function admirably in each circumstance, this is a decent one to utilize.

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Answer:

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5 0
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