A pension fund manager is holding a 10-year 10% coupon bond in the portfolio and the interest rate is 10%. What loss would the fund be exposed to if the interest rate rises to 11% tomorrow? However, this manager can have the option to switch to a 10-year 20% coupon bond. Would he switch to this bond in terms of the interest - rate risk?
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- What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?Suppose that a pension fund manager anticipates the purchase of a 20-year 8 percent coupon T-bond at the end of two years. Interest rates are assumed to change only once every year at year end. At that time, it is equally probable that interest rates will increase or decrease 1 percent. When purchased in two years, the T-bond will pay interest semiannually. Currently, it is selling at par a. What is the pension fund manager’s interest rate risk exposure? b. How can the pension fund manager use options to hedge that interest rate risk exposure?
- 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 pension fund has an average duration of its liabilities equal to 15 years. The fund is looking at 5-year maturity zero-coupon bonds and 4% yield perpetuities to immunize its interest rate risk. How much of its portfolio should it allocate to the zero-coupon bonds to immunize if there are no other assets funding the plan? 52.38% 48.38% 33.58% 25.48%A portfolio for a pension fund that you manage has payments resembling a perpetuity. You want to immunize the pension fund liability by purchasing 2 bonds: a zero coupon bond maturing in 6 years & a 10% coupon bond with a duration of 25 years. Assume the yield on both bonds & the pension fund is 7%. What percent of your portfolio should you invest in the zero-coupon bonds?
- You are a risk analyst in a public pension fund. You have been asked to calculate the appropriate amount of futures to hedge the bond below. What is your calculation? Bond Face: $30,000,000 Term: 10 years Coupon: 2.50% annual coupon YTM: 3% Hedge Futures contract 10 year T-note Denomination $100,000 Deliverable Notes Note 1 Term: 10 years Coupon: 2.2% payable semi annually YTM: 2.8% p.a Note 2 Term: 10 years Coupon: 2.10% payable semi annually YTM: 2.8% p.a Note 3 Term: 10 years Coupon: 2% payable semi annually YTM: 2.8% p.a Bobond mutual fund has annual coupon bonds with a yield to maturity of 8%. If the duration of your bond fund is 12 years, what is the percentage price change of your bond fund if yields to maturity increase to 9%?Your retirement portfolio comprises 100 shares of the Standard & Poor's 500 fund (SPY) and 100 shares of iShares Barclays Aggregate Bond Fund (AGG). The price of SPY is $118 and that of AGG is $97. If you expect the return on SPY to be 11% in the next year and the return on AGG to be 6%, what is the expected return for your retirement portfolio?
- your retirement portfolio comprises 200 shares of the s&p 500 fund (SPY) and 100 shares of iShares Barclays Aggregate Bond Fund (AGG). The price of SPY is $134 and that of AGG is $110. If you expect the return of SPY tobe 10% in the next year and the return on AG to be 8%, what is the expected return for your retirement portfolio?You are given the following concerning a non-callable, sinking fund debenture bond (refer to image). a.) If you buy the bond today at its face amount and interest rates rise to 12 percent after five years have passed, what is your capital gain or loss? b.) What is the bond's current yield after five years? c.) Given your price in A, what is the current yield to maturity? d.) Is there any reason to believe that the bond will be called after five years have elapsed if interest rates decline?A mutual fund plans to purchase $500,000 of 30-year Treasury bonds in four months. These bonds have a duration of 12 years and are priced at 96-08 (32nds). The mutual fund is concerned about interest rates changing over the next four months and is considering a hedge with T-bond futures contracts that mature in six months. The T-bond futures contracts are selling for 98-24 (32nds) and have a duration of 8.5 years. If interest rate changes in the spot market exactly match those in the futures market, what type of futures position should the mutual fund create? How many contracts should be used? If the implied rate on the deliverable bond in the futures market moves 12 percent more than the change in the discounted spot rate, how many futures contracts should be used to hedge the portfolio? What causes futures contracts to have a different price sensitivity than the assets in the spot markets?