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Rom4ik [11]
3 years ago
8

Emily Jacob is 45 years old and has saved nothing for retirement.Fortunately, she just inherited $ 75,000. Emily plans to put a

large portion of that money into an investment account earninga(n) 11% return. She will let the money accumulate for 20 years, when she will be ready to retire. She would like to deposit enough money today so she could begin making withdrawals of $50,000 per year starting at age 66(21 years fromnow) and continuing for 24 additionalyears, when she will make her last withdrawal at age 90. Whatever remains from herinheritance, Emily will spend on a shopping spree. Emily will continue to earn 11% on money in her investment account during her retirementyears, and she wants the balance of her retirement accountto be$0 after her withdrawal on her ninetieth birthday.a. How much money must Emily set aside now to achieve thatgoal
Business
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

A. $51,772.60

B. $65,296.16

C. $535,793.5

Explanation:

a. Calculation for The amount Emily must set aside now

First step is to calculate the present value of the amounts of 50,000 that was withdraw for 24 years at age 65

Present Value of 50,000 = 50,000*(1-(1+11%)^-24)/11%

Present Value of 50,000 = 417,406.83

Now let calculate the Amount to be set aside

Amount set aside = 417,406.83/(1+11%)^20

Amount set aside= $51,772.60

Therefore The amount Emily must set aside now is $51,772.60

b) Calculation for The amount Emily needs to set aside to achieve her goal

First step is to calculate the present value of the amounts of 50,000 that was withdraw for 24 years at age 65

Present Value of 50,000 = 50,000*(1-(1+8%)^-24)/8%

Present Value of 50,000 = 526,437.91

Now let calculate the Amount to be set aside

Amount set aside = 526,437.91/(1+11%)^20

Amount set aside = $65,296.16

Therefore The amount Emily needs to set aside to achieve her goal is $65,296.16

c) Calculation for The amount that will be left in the account for her heirs

First step is to calculate the Face Value of 75,000 at year 65

Face Value of 75,000 = 75,000*(1+11%)^20

Face Value of 75,000= 604,673.37

Second step is to calculate the present value of the amounts of 50,000 that was withdraw for 24 years at age 65

Present value of 50,000= 50,000*(1-(1+8%)^-24)/8%

Present value of 50,000 = 526,437.91

Third step is to calculate the Value at age 65

Value at age 65 = 604,673.37 - 526,437.91

Value at age 65= 78,235.45

Last step is to calculate the Amount left at age 90

Amount left = 78,235.45*(1+8%)^25

Amount left = $535,793.5

Therefore The amount that will be left in the account for her heirs is $535,793.5

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Answer:

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For an oil and gas limited partnership (LP), allowances in the form of deductions are allowed by the IRS to be taken to compensa
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The allowance can be taken based on:

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Explanation:

A limited partnership's allowance for depletion is a special form of depreciation used to account for the gradual reduction in the value of natural resources based on their usage or consumption.  There are two methods for recognizing depletion of natural resources.  They are the cost depletion method, which is based on usage, and the percentage depletion method, which is a percentage of gross earnings.  Then, depletion is different from depreciation, in that depreciation is for tangible assets, while depletion is for natural assets.

3 0
3 years ago
If one-year nominal interest rate in the U.S. is 3%, while the one-year nominal interest rate in Australia is 5%. The spot rate
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spot x (1 + (US rate - Australia rate) x time)

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0.96 x 0.98 = 0.9408 forward exchange rate

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3 0
3 years ago
Suppose that you have the option to lease a new car, which you otherwise intend to purchase for $21,000. The lease terms: $3000
slava [35]

Answer:

The amount that will be paid to buy the car is $18,539.43.

Explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the present of the monthly payment

Since the payments are made at the beginning of each month, this can be calculated using the formula for calculating the present value (PV) of annuity due given as follows:

PVM = P * ((1 - (1 / (1 + r))^n) / r) * (1 + r) .................................. (1)

Where;

PVM = Present value monthly payments = ?

P = Monthly withdraw = $298

r = monthly financing rate = Financing rate / Number of months in a year = 5.4% / 12 = 0.054 / 12 = 0.0045

n = number of months = 48

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

PVM = $298 * ((1 - (1 / (1 + 0.0045))^48) / 0.0045) * (1 + 0.0045) = $12,896.55

Step 2: Calculation of the present of the purchase amount at lease expiration

This can be calculated using the present value formula as follows:

PVP = P / (1 + r)^n  .................................. (2)

Where;

PVP = Present value of the purchase amount at lease expiration = ?

P = Purchase amount at lease expiration = $7000

r = monthly financing rate = Financing rate / Number of months in a year = 5.4% / 12 = 0.054 / 12 = 0.0045

n = number of months = 48

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

PVP = $7000 / (1 + 0.0045)^48 = $5,642.88

Step 3: Calculation of the amount that will be paid to buy the car

This can be calculated as follows:

Amount to pay to buy car = PVM + PVP ............... (3)

Where:

PVM = Present value monthly payments = $12,896.55

PVP = $5,642.88

Substitute the values into equation (3), we have:

Amount to pay to buy car = $12,896.55 + $5,642.88 = $18,539.43

Therefore, the amount that will be paid to buy the car is $18,539.43.

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