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Interest rate delta of annuities The interest rate delta of a derivative contract is defined as the partial derivative, its value, and measures sensitivity of the price to interest rate movements. Assume again that Z (0, j) =
(a) Using your results from Questions 4 and 5, calculate the interest rate delta of
(i) a spot-starting annual libor stream (α = 1) until time T = n.
(ii) a spot-starting fixed rate annuity paying c each year until time T = n.
(b) Show that the deltas are equal in magnitude (but opposite in sign) when
(This formula is sometimes referred to as the Third Wrangler result.) Verify that when r = c = 0.06, the delta of the floating rate annuity is equal in magnitude (but opposite in sign) to that of the fixed rate annuity when n = 20.734 years.
(c) Calculate the interest rate delta of (i) an infinite libor stream and (ii) an infinite fixed annuity. Explain your answers.
Future Value of an Annuity for Various Compounding Periods. Find the future values of the following ordinary annuities: FV of $200 paid each 6 months for 8 years at a nominal rate of 12%, compounded semiannually. Round your answer to the nearest cent..
The Boeing Company has two different debt issues, both maturing four years from now. The domestic bond issue pays semiannual coupons and has a coupon rate of 4.80 percent. The current price on the bond is $951.30. The Eurobond issue is priced at $985..
After reading this chapter, it isn't surprising that you're becoming an invest- ment wizard. With your newfound expertise, you purchase 100 shares of KSU Corporation for $37 per share. In both cases, assume you are in the 25 percent federal marginal ..
Mitts Cosmetics Co.'s stock price is $35.62, and it recently paid a $1.50 dividend. This dividend is expected to grow by 30% for the next 3 years, then grow forever at a constant rate, g; and rs = 14%. At what constant rate is the stock expected to g..
Western Textiles is trying to determine whether to purchase a new weaving machine that costs $214,000. It would cost another $26,000 to install the machine. If its marginal tax rate is 40 percent, what after-tax net cash flow will Western receive whe..
Superior Machine Tool, Inc. (SMT) has a target debt-to-equity ratio of 1 to 3, or 0.33. (In other words, the company believes that 25 percent of its permanent capital structure should be in the form of long-term debt and 75 percent should be in the f..
A company has a wacc equal to 15.00%, a constant and perpetual expected EBITDA equal to 3,100,000 Euro, an unlevered return on equity of 22.53% and it keeps a constant debt-to-equity ratio. If the tax rate is equal to 25% and the assets are fully dep..
Apple is considering investing in a complete small business system. The initial investment will be $70,000. The system is in the 5-year MACRS category, and the firm's tax rate is 43%. Calculate the net after-tax cash flows from this investment. Calcu..
What is the nominal and effective cost of trade credit under the credit terms of 4/15, net 30? Assume 365 days in a year for your calculations. Round your answers to two decimal places. Do not round intermediate calculations.
FreddieMac reports that the average rate on a 30-year fixed rate mortgage is 3.92% as of January 2012. This is down from 4.76% in January 2011 and 5.03% in January 2010. If you have a $224,000, 5%, 30-year mortgage, how much interest will you save if..
Using Internet resources find current rates on fed funds loans, T-bills, commercial paper and banker’s acceptances. Are the rates similar? Why do they differ? Calculate the effective annual rates for each type instrument. Keep the terms as similar as..
A stock sells for $20. The next dividend will be $3 per share. If the return on equity ROE is a constant 10% and the company reinvests 30% of earnings in the firm, what must be the opportunity cost of capital?
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