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Macaulay and Modified Duration
Question. The current price of a bond having annual coupons is $1,312. The derivative of the price function of the bond with respect to the yield to maturity is -$7,443.81 when evaluated at the current annual yield, which is 7%. Calculate the Macaulay duration D(.07, infinity) and the modified duration D(.07, 1) of the bond.
You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 3% and a risky portfolio, P, constructed with two risky securities, X and Y.
A cash-strapped young professional offers to buy your car with four, equal annual payments of $3000, beginning two years from today. Assuming you're indifferent to cash versus credit, that you can invest at 10%, and that you want to receive $9000 for..
A firm is looking to invest in a new sports drink. They must invest $4 million today and another $4 million in one year. They expect that in two years, they will receive $3 million in free cash flow, and this will continue for 5 years (so the final $..
O’Connell & Co. expects its EBIT to be $105,000 every year forever. The firm can borrow at 7 percent. O’Connell currently has no debt, and its cost of equity is 13 percent and the tax rate is 35 percent. The company borrows $136,000 and uses the proc..
As a result of the subprime collapse, the demand for low -quality corporate bonds ________, the demand for high-quality Treasury bonds ________, and the risk spread ________.
Suppose the Texas lottery advertises that it pays its winner $10 million. However, this prize money is paid at the rate of $500,000 each year (with the first payment being immediate) for a total of 20 payments. What is the present value of this prize..
The next dividend payment by Halestorm, Inc., will be $1.64 per share. The dividends are anticipated to maintain a growth rate of 8 percent forever. The stock currently sells for $31 per share. What is the dividend yield? What is the expected capital..
A coupon bond that pays interest annually is selling at par value of $1,000, matures in five years, and has a coupon rate of 9%. The yield to maturity on this bond is :
Saunders Corporation currently has 1,000,000 common stocks outstanding. It considers raising $10 million through issuing 20-year 7.5% coupon bonds – annually paid - with 10 warrants. Each bond has a face value of $1,000. Each warrant gives the holder..
Ms. Queen, age 21, is a full-time college student with an athletic scholarship that provides the following annual benefits: Tuition payment ...$12,800 Fees and books ...3,500 Room and board ...10,000 Ms. Queen works in the athletic department as a tr..
You purchased 330 shares of a particular stock at the beginning of the year at a price of $75.93. The stock paid a dividend of $1.25 per share, and the stock price at the end of the year was $82.44. What was your dollar return on this investment?
The risk-free rate of return is 4% while the market rate of return is 11%. Delta Company has a historical beta of 1.25. Today, the beta for Delta Company was adjusted to reflect internal changes in the structure of the company. The new beta is 1.38. ..
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