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Irina18 [472]
3 years ago
7

Your grandmother recently surprised you and gave you $15,000 expressly for the purpose of starting your retirement savings. Her

only stipulation is that you have to invest the money now, and not touch any of it for the next 35 years (at which point you plan to retire). What will the value of this account be at the end of the 35 years under each of the following return assumptions (assume annual compounding)?
A. 6% per year
B. 10% per year
C. 14% per year
Business
1 answer:
qaws [65]3 years ago
3 0

Answer:

A. $115,291.30

B. $421,536.55

C. $1,471,502.67

Explanation:

The expression that describes the final amount of a $15,000 investment compounded annually for 35 years is:

A = \$15,000*(1+i)^{35}

A. 6% per year

i = 0.06

A = \$15,000*(1+0.06)^{35}\\A = \$115,291.30

B. 10% per year

i = 0.10

A = \$15,000*(1+0.10)^{35}\\A = \$421,536.55

C. 14% per year

i = 0.14

A = \$15,000*(1+0.14)^{35}\\A = \$1,471,502.67

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You are planning your retirement in 15 years. You plan to retire with $3,000,000 and your retirement account earns 4.8% compound
Maslowich

Answer:

The retirement fund will last for 33 years and 7 months

Explanation:

We need to solve for time in an ordinary annuity

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

C  $15,000.00

rate 0.004 (4.8% divide by 12 month)

PV $3,000,000

time n

15,000 \times \frac{1-(1+0.004)^{-n} }{0.004} = 3,000,000\\

we clear for n as much as we can and solve

(1+0.004)^{-n}= 1-\frac{3,000,000\times0.004}{15,000}

(1+0.004)^{-n}= 0.20

now we use logarithmic properties to solve for n:

-n= \frac{log0.2}{log(1+0.004)

-403.16  

this will be a value in months so we divide by 12 to get it annually

403/12 = 33,5833

we convert the residual to months:

0.5833 x 12 = 6.996 = 7 months

6 0
3 years ago
Use the information below to answer the following question. The following lots of a particular commodity were available for sale
Andreas93 [3]

Answer:

$1,510

Explanation:

LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold.

The business had a total of 40 inventories.

The inventories sold = 40 - 20 = 20

The cost of the goods sold would first be alloted to the 3rd purchased inventory = 10 x $77 = $770

The remaining cost of goods sold would be allocated to the 2nd purchase of inventory = 10 x $74 = $740

Total = $740 + $770 = $1,510

I hope my answer helps you

8 0
3 years ago
Someone with dollar bills to lend will never agree to make a loan with a nominal interest rate of less than zero because:
saw5 [17]
<span>Having a nominal interest rate less than 0 would mean that a depositor pays a bank to hold its money. If the annual nominal interest rate is negative 1 percent, a deposit of $1000 dollar would come out $10 dollar short the following year which is why someone with dollar bills will never agree to loan with a nominal interest rate that is negative percent.


</span>
7 0
3 years ago
Between 1953 and 2015, rising labor productivity contributed more to U.S. economic growth than did increases in inputs.
kondor19780726 [428]

Answer: True

Explanation:

Labor productivity has to do with the amount of products and services which are produce at a particular time by the workers.

It should be noted that between 1953 and 2015, rising labor productivity contributed more to U.S. economic growth than did increases in inputs. This brought about increase in the available goods and services in the country.

3 0
3 years ago
Navel County Choppers, Inc., is experiencing rapid growth. The company expects dividends to grow at 23 percent per year for the
Nina [5.8K]

Answer:

P0 = $77.397794 rounded off to $77.40

Explanation:

The two stage growth model of DDM will be used to calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g1) / (1+r)  +  D0 * (1+g1)^2 / (1+r)^2  +  ...  +  D0 * (1+g1)^n / (1+r)^n  + [(D0 * (1+g1)^n  *  (1+g2) /  (r - g2))  /  (1+r)^n]

Where,

  • g1 is the initial growth rate
  • g2 is the constant growth rate
  • D0 is the dividend paid today or most recently
  • r is the required rate of return

P0 = 1.89 * (1+0.23) / (1+0.15)  +  1.89 * (1+0.23)^2 / (1+0.15)^2  +  

1.89 * (1+0.23)^3 / (1+0.15)^3  +   1.89 * (1+0.23)^4 / (1+0.15)^4  +  

1.89 * (1+0.23)^5 / (1+0.15)^5  +  1.89 * (1+0.23)^6 / (1+0.15)^6  +  

1.89 * (1+0.23)^7 / (1+0.15)^7  +  1.89 * (1+0.23)^8 / (1+0.15)^8  +  

1.89 * (1+0.23)^9 / (1+0.15)^9  +  1.89 * (1+0.23)^10 / (1+0.15)^10  +  

[(1.89 * (1+0.23)^10  *  (1+0.07)  / (0.15- 0.07))  /  (1+0.15)^10]

P0 = $77.397794 rounded off to $77.40

8 0
4 years ago
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