2. Let i denote the nominal interest rate, r denote the real interest rate, and INF denote inflation. Consider the same values of i, r, high inflation, and low inflation as in problem 1 above. For TIPS and regular Treasury bond purchases, an individual has allocated $10,000 to invest. a) Solve for the all-TIPS bundle of real wealth. That is, if the individual invests all $10,000 in TIPS, what are the values of WINF and Wlow? b) Solve for the all-regular-Treasury bonds bundle of real wealth. That is, if the individual invests all $10,000 in regular Treasury bonds, what are the values of WINF and Wlow?
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- The treasurer of a large corporation wants to invest $22 million in excess short-term cash in a particular money market investment. The prospectus quotes the instrument at a true yield of 3.33 percent; that is, the EAR for this investment is 3.33 percent. However, the treasurer wants to know the money market yield on this instrument to make it comparable to the T-bills and CDs she has already bought. If the term of the instrument is 78 days, what are the bond equivalent and discount yields on this investment? (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.) Bond equivalent yield % Discount yield %Suppose that the price of a Treasury bill with90 days to maturity and a $1 million face valueis $980,000. What is the yield on a bankdiscount basis? *Please include work*Consider a mutual fund that manages a portfolio of securities worth $120 million.Suppose the fund owes $4 million to its investment advisers and owes another $1million for rent, wages due, and miscellaneous expenses.The fund has 5 million shareholders.What is the Net Asset Value?
- Explain how each of the following factors would probably affect a firm’s target cash balance if all other factors were held constant. f. Interest rates on Treasury bills rise from 5% to 10%.3. Explain different types of money market instruments. In each of the below cases, which money market instruments would you recommend and why? a. A mutual fund manager has INR 450 million of cash, which he needs to park for a period of less than 180 days, where he will move this to equity b. An oil refining company wishes to borrow INR 1500 million for a period of 90 days to fund its settlement of invoicesUse the following information about a hypothetical government security dealer named M.P. Jorgan. Market yields are in parenthesis, and amounts are in millions. All securities are selling at par equal to book value. (4 points) Assets Liabilities and Equity Cash $10 Overnight repos $250 1-month T-bills (7.05%) 85 Subordinated debt 3-month T-bills (7.25%) 100 7-year fixed rate (8.55%) 140 2-year T-notes (7.50%) 90 8-year T-notes (8.96%) 100 5-year munis (floating rate) (8.20% reset every 6 months) 50 Equity 45 Total assets $435 Total liabilities &…
- You invested in long-term corporate bonds and earned 6.1 percent. During that same time period, large-company stocks returned 12.6 percent, long-term government bonds returned 5.7 percent, U.S. Treasury bills returned 4.2 percent, and inflation averaged 3.8 percent. What average risk premium did you earn? Is this good or bad and why?stealth bank has deposits of $700 million. And hold reserves of $20 million and has purchased government bonds worth $350 million. The banks loans, if sold at the current market value, would be worth $600 million. What is the value of the biggest total liabilities?Consider a bank with the following balance sheet (M means million): Assets Value Duration of the Asset Convexity of the Asset5yr bond bought at a yield of 3.4% (lending money) $550M 4.56212.02612yr bond bought at a yield of 4% (lending money) $800M 9.45353.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4% (borrowing money) $300M 1.941 2.3844yr bond sold at a yield of 2.8% (borrowing money) $500M 3.759 8.206 If the interest rates go up by 1%, using the duration and convexity rule to determine the net worth of the bank and the equity to asset ratio In c)’s scenario, to maintain the equity to asset ratio at 40% which is required by the regulation, the bank decides to raise cash (zero duration and zero convexity) from the equity holders. How much cash does the bank need to raise?
- Consider a bank with the following balance sheet (M means million):Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4%(borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8%(borrowing money) $500M 3.759 8.206 If the interest rates go up by 1%, using the duration and convexity rule to determine the networth of the bank and the equity to asset ratioConsider a bank with the following balance sheet (M means million):Assets Value Duration of the Asset Convexity of the Asset 5yr bond bought at a yield of 3.4% (lending money) $550M 4.562 12.026 12yr bond bought at a yield of 4% (lending money) $800M 9.453 53.565 Liabilities Value Duration of the Liability Convexity of the Liability2yr bond sold at a yield of 2.4%(borrowing money) $300M 1.941 2.384 4yr bond sold at a yield of 2.8%(borrowing money) $500M 3.759 8.206 Calculate the duration and convexity of the both asset and liability sides;A woman wishes to invest $14,000 in three types of bonds: municipal bonds paying 8% interest per year, bank investment certificates paying 9%, and high-risk bonds paying 13%. For tax reasons she wants the amount invested in municipal bonds to be at least three times the amount invested in bank certificates. To keep her level of risk manageable, she will invest no more than $4000 in high-risk bonds. How much should she invest in each type of bond to maximize her annual interest yield? [Hint: Let x = amount in municipal bonds and y = amount in bank certificates. Then the amount in high-risk bonds will be $14,000 − x − y.] municipal bonds $______ bank certificates $______ high-risk bonds $______