Question 1 Ellen now has $125. How much would she have after 8 years if she leaves it invested at 8.5% with annual compounding? Question 2 What's the present value of a 4-year ordinary annuity of...

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Question 1


Ellen now has $125. How much would she have after 8 years if she leaves it invested at 8.5% with annual compounding?




Question 2


What's the present value of a 4-year ordinary annuity of $2,250 per year plus an additional $3,000 at the end of Year 4 if the interest rate is 5%?




Question 3


Your uncle has $300,000 invested at 7.5%, and he now wants to retire. He wants to withdraw $35,000 at the end of each year, beginning at the end of this year. He also wants to have $25,000 left to give you when he ceases to withdraw funds from the account. What is the maximum number of $35,000 withdrawals that he can make and still have at least $25,000 left in the account?




Question 4


Kessen Inc.'s bonds mature in 7 years, have a par value of $1,000, and make an annual coupon payment of $70. The market interest rate for the bonds is 8.5%. What is the bond's price?




Question 5


Perry Inc.'s bonds currently sell for $1,150. They have a 6-year maturity, an annual coupon of $85, and a par value of $1,000. What is their
current yield?




Question 6 Two parts


Freedman Flowers' stock has a 50% chance of producing a 25% return, a 30% chance of producing a 10% return, and a 20% chance of producing a -28% return.


Part 1. Calculate is the firm's expected rate of return?


Part 2. Calculate is the firm’s expected standard deviation?




Question 7


Donald Gilmore has $100,000 invested in a 2-stock portfolio. $35,000 is invested in Stock X and the remainder is invested in Stock Y. X's beta is 1.50 and Y's beta is 0.70. What is the portfolio's beta?




Question 8


Ivan Knobel holds a well-diversified portfolio that has an expected return of 11.0% and a beta of 1.20. He is in the process of buying 1,000 shares of Syngine Corp at $10 a share and adding it to his portfolio. Syngine has an expected return of 13.0% and a beta of 1.50. The total value of Ivan's current portfolio is $90,000. What will the expected return and beta on the portfolio be after the purchase of the Syngine stock?




Question 9


A share of Lash Inc.'s common stock just paid a dividend of $1.00. If the expected long-run growth rate for this stock is 5.4%, and if investors' required rate of return is 11.4%, what is the stock price?




Question 10


Franklin Corporation is expected to pay a dividend of $1.25 per share at the end of the year (D1
= $1.25). The stock sells for $32.50 per share, and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate, g, forever. What is the equilibrium expected growth rate?

Answered Same DayJan 09, 2021

Answer To: Question 1 Ellen now has $125. How much would she have after 8 years if she leaves it invested at...

Sumit answered on Jan 09 2021
141 Votes
1.
The formula to calculate the future value of investment is as under:
P x (1 + r) t
Where, P = Amount Invested, r = rate of inter
est, t = Period of Investment
In our given question we have:
Amount Invested = $125
Period = 8 years
Rate = 8.50%
Putting the above values in the above formula we have:
125 x (1 + 8.50%) 8
The amount after 8 years will be $240.08.
2.
The formula to calculate the Present Value of an Annuity is as under:
C x [{(1 + i) n – 1} / i]
Where, C = Cash Flow per Period, I = Interest Rate, n = Number of Payment
In our given question we have:
Annual Annuity = $2250
Period = 4 years
Rate = 5%
Putting the above values in the above formula we have:
2250 x [{(1 + 5%) 4 – 1} / 5%]
The amount after 4 years will be $9697.78.
To formula to calculate the Present Value of Last Installment is as under:
C x (1 / (1 + i) n)
Where, C = Cash Flow per Period, I = Interest Rate, n = Number of Payment
Putting the above values in the above formula we have:
3000 x (1 / (1 + 5) 4)
The amount after 4th year will be $2468.11
Hence total Present Value will as = 9697.78 + 2468.11
= $12165.89
3.
In the given question we have:
Amount Invested = $300000
Rate of Interest = 7.50%
Amount to withdraw each year = $35000
The calculations are made in the below table:
    Year
    Opening Balance
    Interest...
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