now the following about your client’s fixed income portfolio. The portfolio is worth $1,600,000. Currently, the portfolio has $700,000 invested in 3-year 5.5% coupon bonds, each with a face value of $1000, with annual coupons, and $900,000 invested in a long-term bond fund which has a duration of 12.4 years. The yield curve is currently flat at 4.5% per year. What is the duration of your client’s portfolio? Group of answer choices 8.22 years 7.14 years 7.75 years 10.91 years
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- After careful consideration, you decide that you want to diversify your portfolio and invest in the bonds of HCA Healthcare. The bonds pay interest annually, will mature in 25 years, and have a coupon rate of 4% on a face value of $1,000. Currently, the bonds are selling for $910. If you are looking for a required return of 7% for this bond, what is the highest price you would be willing to pay?What is the current yield of these bonds?What is the yield to maturity on these bonds if you purchase them at the current price? (Use the Rate function) If you hold the bonds for two years, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? If the bonds can be called in 4 years with a call premium of 6% of the face value, what is the yield to call?You currently have $300,000. You want to invest it in the following three assets: 10-year US Treasury bond with coupon rate 3.8%, Blandy and Gourmange stocks attached: Your goal is to have the expected return of 6.8% with a minimum portfolio risk. How much money should you allocate to these three assets?You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 5%.a. How much of (i) the zero-coupon bond and (ii) the perpetuity will you hold in your portfolio?b. How will these fractions change next year if target duration is now nine years?
- You are a provider of portfolio insurance and are establishing a four-year program. The portfolio you manage is currently worth $70 million, and you promise to provide a minimum return of 0%. The equity portfolio has a standard deviation of 25% per year, and T-bills pay 6.2% per year. Assume that the portfolio pays no dividends. Required: a-1. How much of the portfolio should be sold and placed in bills? (Input the value as a positive value. Do not round intermediate calculations and round your final percentage answer to 2 decimal places.) a-2. How much of the portfolio should be sold and placed in equity? (Input the value as a positive value. Do not round intermediate calculations and round your final percentage answer to 2 decimal places.) b-1. Calculate the put delta and the amount held in bills if the stock portfolio falls by 3% on the first day of trading, before the hedge is in place? (Input the value as a positive value. Do not round intermediate calculations. Round your…You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 7.0%. Required: a. What weight of each bond will you hold to immunize your portfolio? b. How will these weights change next year if target duration is now nine years? Complete this question by entering your answers in the tabs below. Required A Required B What weight of each bond will you hold to immunize your portfolio? Note: Round your answers to 2 decimal places. Zero-coupon bond Perpetuity bond % %Portfolio managers are frequently paid a proportion of the funds under management. Suppose you manage a $116 million equity portfolio offering a dividend yield (DIV1/ Po) of 6.6%. Dividends and portfolio value are expected to grow at a constant rate. Your annual fee for managing this portfolio is 0.66% of portfolio value and is calculated at the end of each year. a. Assuming that you will continue to manage the portfolio from now to eternity, what is the present value of the management contract? (Enter your answer in millions rounded to 1 decimal places.) Present value million b. What would the contract value be if you invested in stocks with a 5.6% yield? (Enter your answer in millions rounded to 2 decimal places.) Contract value milllion
- You currently have $300,000. You want to invest it in the following three assets: 10-year US Treasury bond with coupon rate 3.8%, Blandy and Gourmange stocks below: (See table attached) Your goal is to have the expected return of 6.8% with a minimum portfolio risk. How much money should you allocate to these three assets?You are managing a portfolio of $2 million. Your target duration is 13.5 years, and you choose to invest in a combination of a zero coupon bond with maturity six years and a perpetuity, each currently yielding 5%. In exactly one year, your target duration will be 12.5 years. At that time, if the yields on the zero coupon bond and the perpetuity do not change, the investment amounts in your portfolio should be: A $984,375 and $1,115,625 respectively B. $937,500 and $1,062,500 respectively C. $1,062,500 and $937,500 respectively D. $1,115,625 and $984,375 respectively E. None of the above OD OA OB OE осYou are a provider of portfolio insurance and are establishing a four-year program. The portfolio you manage is currently worth $60 million, and you promise to provide a minimum return of 0%. The equity portfolio has a standard deviation of 25% per year, and T-bills pay 5.2% per year. Assume that the portfolio pays no dividends. Required: a-1. How much of the portfolio should be sold and placed in bills? (Input the value as a positive value. Do not round intermediate calculations and round your final percentage answer to 2 decimal places.) Portfolio in bills a-2. How much of the portfolio should be sold and placed in equity? (Input the value as a positive value. Do not round intermediate calculations and round your final percentage answer to 2 decimal places.) Portfolio in equity
- You are selected as an analysis to manage a fixed income portfolio for a client in particular a corporate bond. You are considering a 3-year floating rate note with 1 year benchmark rate of 2.88%. It is priced at 685 of 1000 par value. Your analysis tells you probability of default is approximately 40%. If the issue survives over the next three years due to the industry it is in. The probability of default for each year is 9% and a volatility of 12%. What is the price of the bondImagine you are a provider of portfolio insurance. You are establishing a four-year program. The portfolio you manage is currently worth $210 million, and you promise to provide a minimum return of 0%. The equity portfolio has a standard deviation of 25% per year, and T-bills pay 7% per year. Assume for simplicity that the portfolio pays no dividends (or that all dividends are reinvested). a-1. What percentage of the portfolio should be placed in bills? (Input the value as a positive value. Round your answer to 2 decimal places.) Portfolio in bills % a-2. What percentage of the portfolio should be placed in equity? (Input the value as a positive value. Round your answer to 2 decimal places.) Portfolio in equity %You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are essentially going to resemble level perpetuities of $2.24 million per year. The yield to maturity on all bonds is 14%. (a). Assume the duration of six-year maturity bonds with coupon rates of 10% (paid annually) is 5 years, and the duration of 22-year maturity bonds with coupon rates of 7% (paid annually) is 11 years. Calculate how much of each of these two coupon bonds (in market value) you will want to hold in order to both fully fund and immunize your obligation. (b). Calculate the total par value of your holdings in the six-year maturity coupon bond. Please show working