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tigry1 [53]
3 years ago
6

3.10 What will be the amount accumulated by each of these present investments? (a) $5,000 in 5 years at 7% compounded annually.

(b) $7,250 in 15 years at 9% compounded annually. (c) $9,000 in 33 years at 6% compounded annually. (d) $12,000 in 8 years at 5.5% compounded annually.
Business
1 answer:
Ostrovityanka [42]3 years ago
6 0

Answer:

1) FV =7012.76

2) FV =26408

3) FV  ==61565.31

4) FV =18416.24

Explanation:

The  formula used for calculation of future value for given present investment is given as

FV = PV ( 1 + I )ⁿ

1) for PV = 5000, n = 5 year, I =  7%

 

FV = 5000*(1.07)^5

FV =7012.76

2) for PV = 7200, n = 15 year, I =  9%

FV= 7250*(1.09)^15

FV =26408

3) for PV = 9000, n = 33 year, I =  6%

FV= 9000*(1.06)^33

FV  ==61565.31

4) for PV = 12000, n = 8 year, I =  5.5%

FV = 12000*(1.055)^8

FV =18416.24

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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
xz_007 [3.2K]

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;

PV in 19 years = Present value (PV) of the contribution at the point of retirement in 19 years = ?

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

R = Rate of return after retirement = 5.02%, or 0.0502

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 = ?

FV = Future value or PV in 19 years = $654,920.3187251

r = rate of return prior to retirement = 7.29%, or 0.0729

n = number of years = 19

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.

3 0
2 years ago
In determining whether to issue a loan, banks are not allowed to ask about an applicant's
Firlakuza [10]

Answer:

country of origin.

Explanation:

Banks have a set of requirements that borrowers need to meet to qualify for a bank loan. The banks will ask questions to determine if the customer is eligible for a loan. Most of the questions pertain to the purpose of the loans and the customer's ability to repay.

The bank will ask about employment history, credit history, tax information, personal information, the purpose of the loan,  collateral, and other questions related to the ability to repay. A person's country of origin is unnecessary and may elicit elements of discrimination.

3 0
3 years ago
Read 2 more answers
Carla vista co. received proceeds of 5585020 on a 10-year, 8% bonds issued on January 1, 2019. The bonds had a face value of 530
Lapatulllka [165]

The carrying value of the bond is $489,560.

<h3>What is the carrying value of a bond?</h3>

A bond's carrying value is defined as its par value or face value plus any unamortized premiums or discounts, minus any unamortized discounts.

This is deducted because it is represented on the balance sheet, the carrying value is the difference between the par value and the premium or discount.

<u>Computation of Carrying value of Bond</u>:

According to the given information,

First, there is a need to calculate the premium amount, that amount is calculated as follows:

Premium Amount = Face value of Bond – Proceeds received

Premium Amount = $530,000 – $558,5020

Premium Amount = -$505,5020

Now, there is a need to finding the Annual amortization value, this can be found out by the following:

Annual amortization = Premium Amount/Time period

Annual amortization = -$505,5020/10

Annual amortization = -$505,502

Then, the carrying value of the bond will be:

Carrying value of bond = face value – unamortized discount

Carrying value of bond = $530,000- (-$505,502×8%)

Carrying value of bond = $489,560

Therefore, the carrying value of the bond is $489,560.

Learn more about the carrying value of bond, refer to:

brainly.com/question/14531473

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3 0
2 years ago
Connie has AGI of $90,000 and owns rental property generating a $27,000 loss. She actively manages the property. Her deductible
Sedbober [7]

Answer and Explanation:

Her deductible loss is $27,000.

8 0
3 years ago
An outside supplier has offered to make the part and sell it to the company for $25.10 each. If this offer is accepted, the supe
gogolik [260]

Missing information:

Corporation makes 5,700 units of part U13 each year. This part is used in one of the company's products. The company's Accounting Department reports the following costs of producing the part at this level of activity: Per Unit Direct materials $9.60 Direct labor $7.80 Variable manufacturing overhead $10.20 Supervisor's salary $5.90 Depreciation of special equipment $8.80 Allocated general overhead $8.00 An outside supplier has offered to make and sell the part to the company for $25.10 each.

Answer:

annual financial advantage of purchasing part from outside vendor = $73,380  

Explanation:

current production costs per unit:

  • direct materials $9.60
  • direct labor $7.80
  • variable manufacturing overhead $10.20
  • supervisor's salary $5.90
  • depreciation of special equipment $8.80
  • allocated general overhead (fixed) $8.00
  • total current costs per unit = $50.30
  • total costs $50.30 x 5,700 units = $286,710

costs if company decides to purchase the part form outside vendor:

  • purchase cost per unit $25.10
  • deprecation of special equipment $8.80
  • allocated general overhead $8.00
  • total costs per unit = $41.90
  • total costs $41.90 x 5,700 = $238,830
  • - revenue generated from using facility space = $238,830 - $25,500 = $213,330

annual financial advantage of purchasing part from outside vendor = $286,710 - $213,330 = $73,380  

4 0
3 years ago
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