Future-looking interest rate expectations for 5 periods are as follows: 3%, 4%, 3.5%, 4.5%, 4%. Additionally, investors charge a liquidity premium of 0.5% per year. a) Draw the yield curve under expectations theory. What is its shape? b) Draw the yield curve under the liquidity premium theory. What is its shape?
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- Under the Pure Expectations Theory, if these investors believe that interest rates will rise in the near future, a. Two statements are correct. b. they will make up for the lower short-term yield when the short-term securities mature, and they reinvest at a higher rate (if interest rates rise) at maturity. c. All statements are correct. d. the large supply of funds in the short-term market will force annualized yields down, while the reduced supply of long-term funds forces long-term yields up. e. they will invest their funds mostly in the short-term risk-free securities so that they can soon reinvest their funds in securities that offer higher yields after interest rates increase. f. their actions cause funds to flow into the short-term market and away from the long-term market. g. Three statements are correct.Assume that the real risk-free rate is r* = 2% and the average expected inflation rate is 3% for each future year. The DRP and LP for Bond X are each 1%, and the applicable MRP is 2%. What is Bond X’s interest rate? Is Bond X (1) a Treasury bond or a corporate bond and (2) more likely to have a 3-month or a 20-year maturity? SHOW WORK AND USE FINANCIAL CALCULATOROver the next three years, the expected path of 1-year interst rates is 4,1, and 1 percent. Today you buy $1 of one-year bond and when it matures you plan to use the money you receive to reinvest in one-year bond again. Then your expected rate of return for this $1 investment is _____% (round to the nearest integer). If the expectations theory of the term structure is true, then your expected rate of return for buying a two-year bond today is ____%, which implies that the current interest rate on 2-year bond must be ____%
- Your Company, manager of the Gigantic Mutual Fund, knows that her fund currently is well diversified and that it has a CAPM beta of 1.0 The risk-free rate is 8% and the CAPM risk premium of 6.2%. She has been learning about measures of risk and knows that there are (at least) two factors: changes in industrial production index, δ1 and unexpected inflation, δ2 The APT equation is E(Ri) – Rf = [δ1 – Rf]bi1 + [δ2 – Rf]bi2, E(Ri) = 0.08 + [0.05]bi1 + [0.11]bi2. Required If his portfolio currently has a sensitivity to the first factor of bi1= -0.5, what is its sensitivity to unexpected inflation? If she rebalances her portfolio to keep the same expected return but reduce her exposure to inflation to zero (i.e., bi1= 0) what will its sensitivity to the first factor become?Mf1. If general consensus is that interest rates are abnormally high and will soon fall, one would expect to observe according to the expectations theory what type of yield curve (flat; circular; upward; or downward sloping)? Explain.Identify a situation that involves making decisions using expected value, and detail the different options, expectations, and payouts. Discuss the risks involved with those expectations and, if applicable, the payouts. Include in your discussion an explanation of how to determine how much information to gather to minimize uncertainty. Finally, explain which decision should be made.
- Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?Explain the micro factors and macro factors which affect the cost of money? What are the conclusions of Beta stability tests and Tests based on the slope of the SML? (hint: refer to Ch 25 in the textbook) Suppose Asset A has an expected return of 10 percent and a standard deviation of 20 percent. Asset B has an expected return of 16 percent and a standard deviation of 40 percent. If the correlation between A and B is 0.35, what are the expected return and standard deviation for a portfolio comprised of 40 percent Asset A and 60 percent Asset B? 1) Calculate what is called Beta, , from the table below (hint : use excel for calculation for beta) and then 2) make the equation with beta and intercept to calculate the expected return of i asset. (hint; use SML equation in Chapter 25 and rRF=5%, M =9% ) Year M i 1 16% 19% 2 -6% -11% 3 12% 17% 4 14% 19% Calculate the expected return of portfolio and standard deviation of portfolio…(a) One of your colleagues is looking at the yield curve expressed by the information below and asks for an explanation as to why it has the current shape. Describe the shape of the term structure presented in the table below. Explain the shape using the two forms of the “biased” expectations theory your answer should define the two forms, and explain why they are referred to as “biased”. Maturity (T) Years r(1) r(2) r(3) r(4) r(5) r(6) r(7) r(8) r(9) r(10) Spot Rate (%) 2.4711 2.4527 2.4745 2.4518 2.3187 2.2438 2.2403 2.3354 2.4373 2.8747 Please refer to attached image. (b) You are considering purchasing a bond between settlement periods with a 6% coupon rate and 4 semi-annual coupon payments remaining. There are 182 days in the coupon period and the days between the last coupon period and the settlement date is 66. What is the…
- A9. Assuming that the expectations theory is the correct theory of the term structure, calculate the interest rates in the term structure for maturities of one to five years, and plot the resulting yield curves for the following paths of one- year interest rates over the next five years: a. 5%, 6%, 7%, 6%, 5% b. 5%, 4%, 3%, 4%, 5%. c. How would your yield curves change if people preferred shorter-term bonds over longer- term bonds?Please explain the correct answer(s). An investor wants to be able to buy 4 percent more goods and services in the future in order to induce her to invest today. During the investment period, prices are expected to rise by 2 percent. Which statement(s) below is/are true? 1.I. 4 percent is the desired real risk-free interest rate. 2.II. 6 percent is the approximate nominal rate of interest required. 3.III. 2 percent is the expected inflation rate over the period. A) I only B) II only C) III only D) I and II only E) I, II, and III7. Determinants of market interest rates Some characteristics of the determinants of nominal interest rates are listed as follows. Identify the components (determinants) and the symbols associated with each characteristic: Characteristic Component Symbol This is the premium that reflects the risk associated with changes in interest rates for a long-term security. It changes over time, depending on the expected rate of return on productive assets exchanged among market participants and people’s time preferences for consumption. This premium is added when a security lacks marketability, because it cannot be bought and sold quickly without losing value. It is calculated by adding the inflation premium to r*. Over the past several years, Germany, Japan, and Switzerland have had lower interest rates than the United States due to lower values of this premium. It is based on the bond’s rating; the higher the…