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alexandr1967 [171]
3 years ago
5

As a gift from your parents, you just received $50,000 for your education. You can earn an annual rate of 8% on your investments

. How much can you withdraw each year (end of year) for the next 4 years just using up the $50,000?
Business
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

annual withdrawal = $15096.04

Explanation:

given data

present value = $50,000

annual rate = 8%

time = 4 year

to find out

How much can you withdraw each year

solution

we find here annual withdrawal amount that is express as

annual withdrawal = \frac{present\ value}{\frac{1-(1+r)^{-t}}{r}}   ................1

here r is rate and t is time

so put here value we get

annual withdrawal = \frac{50000}{\frac{1-(1+0.08)^{-4}}{0.08}}  

annual withdrawal = \frac{50000}{3.31212}

annual withdrawal = $15096.04

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What's the present value of a perpetuity that pays $250 per year if the appropriate interest rate is 5%
KengaRu [80]

Answer:

PV of Perpetuity = $5000

Explanation:

A perpetuity is a series of cash flows that are constant, occur after equal intervals of time and are for infinite period of time or are perpetual. Thus, it is like and annuity but with an infinite time period. The formula for the present value of of perpetuity is,

PV of Perpetuity = Cash Flow  /  r

Where,

  • r is the required rate of return

PV of Perpetuity = 250 / 0.05

PV of Perpetuity = $5000

3 0
3 years ago
Based on the Management in Action case, if an employee asks Korey for time off to take care of a sick child, Korey may believe t
yaroslaw [1]

Korey's perceptual bias is the fundamental attribution.

Fundamental attribution occurs if an individual tries to explain the behavior of another person based on his/her personality, rather than based on the situation.

This type of bias is shown by Korey because he:

  • Thinks the employee is lazy, which is related to personality features.
  • He does not consider the situation or the fact the employee needs time to take care of the child, and it is not just avoiding work.

Learn more in: brainly.com/question/13044778

5 0
2 years ago
Alpha Products maintains a capital structure of 40 percent debt and 60 percent common equity. To finance its capital budget for
ad-work [718]

Answer:

its weighted cost of capital for the coming year is 9.64%

Explanation:

WACC is the minimum return expected from a project. It shows the risk of the company.

<u>Calculation of WACC.</u>

Capital Source              Weight            Cost               Total

Debt                                  40%            6.60%             2.64%

Common Equity               60%             11.67%            7.00%

Total                                100%                                    9.64%

Cost of Debt = Market Interest Rate × ( 1 - tax rate)

                     = 11%×(1-0.40)

                     = 6.60%

Cost of Equity = (Next year`s dividend/Current Market Price of a share)+Expected growth rate

                       = ($1.40/$30)+0.07

                       = 11.67%

8 0
3 years ago
Your investment portfolio consists of ​$15 comma 000 invested in only one stocklong dashAmazon. Suppose the​ risk-free rate is 5
Kay [80]

Answer:

a)

The CAPM hypothesis states that the effective market is utilized place in the market and has the maximum eminent expected return of any assortment for a given randomness and the smallest variability for a assumed expected return. By allotment utilized place in the market assortment, you can achieve a standard return,

Thus,  

Expected Rate of Return = [Risk free Rate + Beta × (Market Risk - Risk free Rate)]

Beta = [Expected Rate of Return – Risk Free Rate] / [Market Risk - Risk free Rate]

Beta = [12% - 5%] / [10% -5%]

Beta = 7/5

Beta =1.4

The final possible instability while taking the same estimated rate of return as Amazon is $21,000 ($15,000 × 1.4) which indicate that it borrows $6,000 ($21,000 - $15,000). Now the -$6,000 is specified as strength benefit. So the volatility of the asset is,

Volatility = [Volatility of Asset x Beta]

Volatility = [18% × 1.4]

Volatility = 0.252 or 25.20%

Therefore the volatility is less than the volatility of Amazon.

b)

The market share has a instability of "n". The corresponding instability of Amazon will be 2.22 (40%/18%). So the assortment with the most notable predictable give back that has a faint variability from Amazon is $33,333.33 ($15,000x 2.22) which will be the market assortment and it also uses $18,333.33 ($33,333.33 - $15,000). Here the -$18,333.33 is specified as strength asset. So the return is,

Expected Return = [Risk free Rate + Beta × (Market Risk – Risk free Rate)]

Expected Return = [5%+ 122 × (10% - 5%)]

Expected Return = [5%+ 122 × 5%]

Expected Return = [0.05+0.111111]

Expected Return = 0.161111 or1 6.11%

Therefore the volatility is higher than the expected return of Amazon.

8 0
3 years ago
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