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____ [38]
2 years ago
14

A series of monthly cash flows is deposited into an account that earns 12% nominal interest compounded monthly. Each monthly dep

osit is equal to $2,100. The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015. The account also has equivalent quarterly withdrawals from it. The first quarterly withdrawal is equal to $5,000 and occurred on October 1, 2008. The last $5,000 withdrawal will occur on January 1, 2015. How much remains in the account after the last withdrawal?
Business
1 answer:
nirvana33 [79]2 years ago
6 0

Answer:

The amount left in the account after last withdrawal is $61,945

Explanation:

The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015 = 80 deposit

Monthly deposit = 2,100

Interest rate = 12% / 1% per month

Firstly, we calculate the future worth of the monthly deposit

FW = A(F/A, i, n)

A = 2,100, i = 1%, n= 80

FW = $2100*[(1+0.01)^80 - 1 / 0.01]

FW = $2100*[2.216715 - 1 / 0.01]

FW = $2100*(121.671)

FW = $255,509.10

We calculate the effective interest rate

i(effective) = (1 + i nominal monthly interest rate)^n - 1

i `%, n = 3(no of months in quarter)

i (effective) = (1+0.01)^3 - 1

i (effective) = (1.01)^3 - 1

i (effective) = 1.030301 - 1

i (effective) = 0.030301

i (effective) = 3.0301%

The effective quarterly interest rate is 3.0301%

We calculate the future worth of the quarterly drawings

FW = A[(1+i)^n - 1 / i]

A = 5,000(drawing), i = 3.0301%, n = 26(number of drawings)

FW = 5,000*[(1+0.030301)^26 - 1 / 0.030301]

FW = 5,000*[2.17303717 - 1 / 0.030301]

FW = 5,000*(38.71282)

FW = $193,564.10

The future worth of the quarterly withdrawal is $193,564.10

We calculate the amount left in the account after last withdrawal

Amount left in account = FW(monthly deposits) - FW(quarterly drawings)

Amount left in account = $255,509.10 - $193,564.10

Amount left in account = $61,945

Thus, the amount left in the account after last withdrawal is $61,945

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Answer:

Beta of a security is the covariance of the security return with the return on the market portfolio divided by variance of the market return.

The correct answer is C

Explanation:

Beta of a security is calculated as covariance (Ri,Rm) divided by Variance of the market return. Beta is used for measuring the systematic risk of a security.

5 0
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A market might have an upward-sloping long-run supply curve if:
Elan Coil [88]

Answer:

a. firms have different costs.

Explanation:

A market might have an upward-sloping long-run supply curve if

a. firms have different costs.

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d. the entry of new firms into the market has no effect on the cost structure of firms in the market.

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Louis owns an import business. After traveling to France on numerous occasions, he developed a taste for fine French wines. A ra
leva [86]

Answer:

B) French wines will become more expensive in the United States.

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4 0
3 years ago
If the expected sales volume for the current period is 7,500 units, the desired ending inventory is 263 units, and the beginning
pentagon [3]

Answer:

Total production for the current period is expected to be 7420 units.

Explanation:

The current production should be enough to meet the required units needed for the desired ending inventory and the units needed to meet the current sales after adjusting for the opening inventory of units that is available. Thu,s the current production requirement will be,

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Production = 263 + 7500 - 343

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7 0
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Answer:

The adjusting entries are given below

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Adjusting Entries  

Dec 31 (Accrued Interest)               Debit         Credit

Interest expense                               $410  

Interest payable                                                    $410

Dec 31 (Service Revenue)               Debit         Credit

Account receivable                            $1,790

Service revenue                                                    $1,790

Dec 31 (Salary expense)                Debit         Credit

Salary expense                                $750

Salary payable                                                     $750

7 0
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