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- A pension fund faces a promised outflow of $5 million in 6 years. Its managers plan to dedicate a portfolio comprised of the following two bonds to meet this obligation. a. What must be the proportions ((W7, W6) or (Weight(A), Weight(B)) of the two bonds in this 2-security portfolio to immunize it against changes in interest rates? b. What is the yield to maturity for the immunized portfolio? c. How much needs to be invested in each bond to build an immunized portfolio with an expected value of $5 million in 6 years? d. Suppose that it is now 3 years later and that there has been a parallel increase in interest rates of 2%. Explain how immunization at least partially protects this portfolio. That is, what are the sources of losses and gains associated with each of the bonds caused by the increase in interest rates? How do they offset each other?A good approximation to use for the return on an average-risk project would be today’s interest rate on Treasury bills plus a risk premium of ____ percentage points. 1.8 6.5 7.0 8.0 11.7 Give typing answer with explanation and conclusionAssume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%
- What will be the default risk premium of a long-term government security if the quoted rate for a short-term government security is 4.50% and liquidity premium is 1%? *A pension fund's liabilities has a PV01 of $200 million. The plan has $100 billion of assets with a weighted average modified duration of 8. The highest duration bond that the plan can invest in has a modified duration of 28. How much of the existing assets should be invested in this bond with a modified duration of 28 to minimize the interest risk exposure of the fund? A. $0 B. $20 billion C. $40 billion D. $60 Billion. Need typed answer only.Please give answer within 45 minutesThe investor has R60,000 to invest. R15,000 will be invested into the market portfolio, R10,000 into asset A and R25,000 into asset B. The balance will be invested into the risk-free asset. The beta for asset A and asset B is 0.90 and 1.2 respectively. What is the portfolio beta? What is the correct answer? A. 0.09 B. 0.90 C. 0.91 D. 0.92
- Assume that you have a short investment horizon (less than 1 year). You are consideringtwo investments: a 1-year Treasury security and a 20-year Treasury security. Which of thetwo investments would you view as being riskier? Explain.The investor has R60,000 to invest. R15,000 will be invested into the market portfolio, R10,000 into asset A and R25,000 into asset B. The balance will be invested into the risk-free asset. The beta for asset A and asset B is 0.90 and 1.2 respectively. What is the portfolio beta? A. 0.09 B. 0.90 C. 0.91 D. 0.92Suppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 yr 2 yr 3 yr 2.42 2.77 3.31 3.75 4.15 4.93 1.98 Rate (EAR %) What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? What is the present value of an investment that pays $103 at the end of each of years 1, 2, and 3? The present value of the investment is $294.08. (Round to the nearest cent.) If you wanted to value this investment correctly using the annuity formula, what discount rate should you use? The discount rate you should use if you want to use the annuity formula is 2.94%. (Round to two decimal places.)
- Consider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) 13%, op = 17%, rf = 5%. %3D a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 7%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk- free asset? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Risky portfolio % Risk-free asset % b. What will be the standard deviation of the rate of return on her portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Standard deviation %Consider a borrow-and-invest strategy in which you use $1 million of your own money and borrow another $1 million (at the t-bill rate) to invest $2 million in a market index fund. If the risk free interest rate is 5.52 percent and the expected rate of return on the market index fund is 12.68 percent, what is the risk premium on this borrow-and-invest strategy?The following data are gathered for:· The real risk-free rate is 1.25%· Inflation premium is constant at 2.50%· Default risk premium is 5%· Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security?