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?