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zmey [24]
3 years ago
7

You have a mortgage balance of $117,000 that will require you to make 120 more payments of $1,200 , starting next month. Alterna

tively, you can take out a loan today for $117,000 with an interest rate of 3% APR compounded monthly and pay off the original mortgage. The new loan will require you to make 120 more payments, starting next month. If your investments earn 2.00% APR, compounded monthly, how much will you save in PV terms by taking out the new loan to pay off the original mortgage?
Business
1 answer:
SashulF [63]3 years ago
3 0

Answer:

In PV term, we are saving 7,633.33 dollars

Explanation:

First, we calculate the PTm of the bank loan:

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV  $117,000.00

time   120 months

monthly - rate  0.0025 (0.03 annual rate /12 months)

117000 \div \frac{1-(1+0.0025)^{-120} }{0.0025} = C\\

C  $ 1,129.761

1,200 - 1,129.76 = 70.24

Each month we are saving 70.24 dollars

if this yield 2% we cancalcualte the present value of the savings:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C $70

time 120

rate 0.001666667 (0.02/12)

70.24 \times \frac{1-(1+0.0016667)^{-120} }{0.0016667} = PV\\

PV $7,633.6663

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Recession               2%                                     3%

The expected rate of return on this stock is solved by multiply each expected rate of return to its corresponding probability and getting the sum of all products.

Booming: 0.22 x 0.05 =  0.011
Normal:   0.15 x  0.92 = 0.138
Recession 0.02 x 0.03 =<u> 0.0006</u>
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What is the role of Scientific management in the modern era?​
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3 years ago
Based on this income statement for Company XYZ for the year ending December 31, 2014, what adjustment would need to be made to N
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2 years ago
Read 2 more answers
Suppose First Main Street Bank, Second Republic Bank, and Third Fidelity Bank all have zero excess reserves. The required reserv
lapo4ka [179]

Answer:

a) First Main Street Bank's T-account (before the bank makes any new loans) will look as follows:

<u>                   Assets                         |                Liabilities                  </u>

Reserves                   $1,800,000 |  Deposits             $1,800,000

b) The effect of a new deposit on excess and required reserves when the required reserve ratio is 25% are as follows:

Amount Deposited (Dollars) = $1,800,000

Change in Excess Reserves (Dollars) = $1,350,000

Change in Required Reserves (Dollars) = $450,000

Explanation:

a) Complete the following table to reflect any changes in First Main Street Bank's T-account (before the bank makes any new loans)

A deposit of $1,800,000 by Yakov into his checking account at First Main Street Bank will lead to the creation of both an asset and a liability for First Main Street Bank.

The reserves on the asset side of the T-account of First Main Street Bank will therefore increase by $1,800,000. This gives the bank the opportunity to able to give loan to its other customers from the additional reserves.

On the other hand, the deposit of $1,800,000 by Yakov will be recorded as a demand deposit on the liability side of the T-account of First Main Street Bank. This is because it is possible for Yakov to withdraw his deposit at any time.

This transaction will therefore be reflected as follows:

<u>                   Assets                         |                Liabilities                  </u>

Reserves                   $1,800,000 |  Deposits             $1,800,000

b) Complete the following table to show the effect of a new deposit on excess and required reserves when the required reserve ratio is 25%.

Note: See the attached excel file to see how the table will actually look.

The required reserve ratio of 25% implies that First Main Street Bank is required by law to hold 25% of the new reserves which in this case is the initial deposits from Yakov.

By calculating this, 25% of $1,800,00 is $450,000 and it indicates an increase of $450,000 in the required reserve of First Main Street Bank.

After deducting 25% from 100%, we have 75% left. And 75% of $1,800,000 is $1,350,000. This $1,350,000 is the excess reserves that First Main Street Bank can use to give loans to other customers.

The breakdown is therefore as follows:

Amount Deposited (Dollars) = $1,800,000

Change in Excess Reserves (Dollars) = 75% * $1,800,000 = $1,350,000

Change in Required Reserves (Dollars) = 25% * $1,800,000 = $450,000

Download xlsx
5 0
3 years ago
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