Exercise 1.1 Let A(0) = 150€, A(1) = 180€, S(0) = 45€ and let 40€ with probability p 42€ with probability 1-p Calculate the rates of return: on stock, on bonds and on portfolio consisting of 30 shares and 45 bonds. S(1) =
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- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?A stock had returns of 14 percent, 17 percent, 14 percent, 20 percent, 16 percent, and 2 percent over the last six years. What is the arithmetic return for the stock? Arithmetic return What is the geometric return for the stock? Geometric return
- A mutual fund has a rate of return for five years of 10%, 14%, 10%, and 22% . Calculate the geometric mean. Round to the nearest tenth of a percent.A stock you are evaluating is expected to experience supernormal growth in dividends of 12 percent over the next three years. Following this period, dividends are expected to grow at a constant rate of 4 percent. The stock paid a dividend of $1.50 last year and the required rate of return on the stock is 11 percent. Calculate the stock's fair present value. (Do not round intermediate calculations.) Please show all the steps, including the equation(s).Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.
- The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %1. Consider a wine dealer who has k bottles of wine. The dealer can sell them now (t = 0) or can store it for some time and then sell them later. The value of k bottles at t-th month is given by: Vt = ket The dealer can use the sales revenue as principal in a risk-free investment at rate r. (d) If the risk free rate is 5%, what is the optimal timing of sales?bond valuation An investor has two nonds in her portfolio, bond C and bond Z. each bond maturres in 4 years has a face value of 1000, and has a yield to maturity of 9.6% bond C pays a 10% annual coupon, while bond Z is a zeo coupon bond . b- assuming that the yield to maturity of each bond remains at9.6% over the next 4 years, calculate the price of the bonds at each of the following years to maturity year 4,3,2,1,0 b- plot the time path of price for each bond
- SHOW IN EXCEL SHOW EACH PROCESS IN EXCEL Gasoline EV Purchase Cost $50,000 $80,000 Annual - Maintenance $5,000 $2,500 Annual Fuel $7,500 $3,000 Service Life Probability Service Life Probability 55% 52% 6 10% 65% 7 25% 7 10% 8 35 % 8 25% 9 20% 9 50 % 10 5 % 10 8% a) (5 Points) What is the expected value of the present worth and expected value of the standard deviation of each option? b) (5 Points) Which option should be chosen, and why? c) (5 Points) If the company' s MARR is 20%, which option would they choose and why? d) (5 Points) What value of the MARR makes the company indifferent between choosing gasoline or electric vehicles?What is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent returnAn investment will pay $100 at the end of each of the next 3 years, $300 at the end of year 4, $500 at the end of Year 5, and $300 at the end of Year 6. If other investments of equal risk earn 8% annually, what is this investment's present value? 923.98 976.31 1013.78 1007.56