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A:
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
Step by step
Solved in 5 steps
- Bill buys a 10-year 1000 par value 5% bond with semi-annual coupons. The price assumes a nominal yield of 6%, compounded semi-annually. As Bill receives each coupon payment, he immediately puts the money into an account earning interest at an annual effective rate of i. At the end of 10 years, after the final coupon, redemption value and accumulated value in the extra account shows that Bill has earned at an annual rate of 6.5%. Calculate i.Four years earlier, Janice purchased a $1,000 face value corporate bond with a 6% annual coupon and maturing in 10 years. At the time of the purchase, it had an expected yield to maturity of 8.76%. If Janice sold the bond today for $1,088.39, what rate of return would she have earned for the last four years?Last year Janet purchased a $1,000 face value corporate bond with an 8%annual coupon rate and a 15-year maturity. At the time of the purchase, it had an expectedyield to maturity of 10.45%. If Janet sold the bond today for $820.17, what rate of returnwould she have earned for the past year?
- Compute the total and annual returns on the described investment. Four years after buying 50 shares of XYZ stock for $80 per share, you sell the stock for $6000.Investor John enters into a seven-month forward contract on a dividend-paying stock when the stock price is $40 and the risk-free rate of interest is 5% per annum with continuous compounding. The stock will pay a dividend of $1.50 per share in three months. Calculate the theoretical forward price of this stock. If the actual forward price is $42, is there an arbitrage opportunity for John? Show in detail how John can earn a profit. How much is this profit on a per share basis?Investor John enters into a seven-month forward contract on a dividend-paying stock when the stock price is $40 and the risk-free rate of interest is 5% per annum with continuous compounding. The stock will pay a dividend of $1.50 per share in three months. Calculate the theoretical forward price of this stock. If the actual forward price is $42, is there an arbitrage opportunity for John? Show in detail how John can earn a profit. How much is this profit on a per share basis? Both parts.
- David Hoffman purchases a $1,000 20-year bond with an 8% coupon (annual payments). Yields on comparable bonds are 10%. Bob expects that two years from now, yields on comparable bonds will have declined to 9%. Find his expected yield, assuming the bond is sold in two years.Stacy purchases a $60,000 bond for $57,500. The coupon rate is 6% per year payable quarterly. The bond has a 15 year life, at which time it is cased in for face value. The bank's interest is 4.8% per year compounded monthly. Stacy decides to sell the bond at the end of 8 years. What is the bond value at this time? work in terms of excelCompute the total and annual returns on the described investment. Six years after buying 200 shares of XYZ stock for $50 per share, you sell the stock for $15,000. The total return is ? %
- Mark Motel's debt has a face value of $40 million, a coupon rate of 14% (paid semiannually), and expires in 12 years (at t = 12 . The current annual yield-to-maturity (stated) for all bonds of the company is 15%. Mark wishes to conserve cash for the next few years. To do this, Mark decides to issue new equity and use the proceeds to purchase the existing debt at the market price. The current stock price of Mark is $60 and there are 2 million shares outstanding. 1. How many shares should Mark issue to purchase the existing debt? Assume the decision to purchase the bond does not change the stock price. Instead, the company decides to issue a zero-coupon bond that matures at year 5, and use the proceeds to purchase the existing debt at the market price. 2. What is the face value of the zero-coupon bond that Mark needs to issue?Bob uses 19481 to purchase a 10-year par-value bond (i.e. redeems at face-value). Coupons are paid out annually (end of the year) and each coupon is equal to 2% of the face-value of the bond. If each coupon payment is invested into an account that earns an effective annual interest rate of 2.4%, then what is the face-value of the bond if Bob realizes an overall yield of 3.36% per year effective over the 10 year period? Give your answer rounded to the nearest whole number (i.e. X).Kevin just purchased an 8-year semi-annual coupon bond with a par value of $1,000 and a coupon rate of 5%. The nominal yield to maturity is 6% per annum. a) Calculate the market price of the bond when Kevin purchased it. Round your answer to the nearest cent. b) Four years later, immediately after receiving the eighth coupon payment, Kevin sold the bond to Tom. Tom’s nominal yield to maturity is 4% per annum. Calculate the price paid by Tom. Round your answer to the nearest cent. c) Calculate the return on capital appreciation earned by Kevin. Round your answer to the nearest 0.01%.