Question
1. Beginning this year, Mary is planning to save $800 each year for the next six years to take a vacation to commemorate the seventh
1. Beginning this year, Mary is planning to save $800 each year for the next six years to take a vacation to commemorate the seventh year of her career. Assuming the interest rate offered by her bank is 9 percent annually, how much will Mary have in the account at the end of seven years? If Mary increases her savings to $1,500 annually, will this be enough to take care of her vacation which is estimated to cost $15,000. Calculate her account balance at end of seven years
2. A profitable business venture promises to pay investors a monthly cash return of $1,900 for the next seven years. Having studies other investment alternatives, you believe that a reasonable return on your investment should be 12 percent compounded monthly. a) How much should you pay for such an investment?
b) What will be the total sum of cash you will receive over the next seven years?
3. Which of the following statements are most correct?
a. Long-term bonds have more interest rate price risk, but less reinvestment rate risk than short-term bonds. b. Bonds with higher coupons have more interest rate price risk, but less reinvestment rate risk than bonds with lower coupons. c. If interest rates remain constant for the next five years, the price of a discount bond will remain the same for the next five years. d. If a bond is selling at par value, its current yield equals its yield to maturity. e. If a bond is selling at a discount to par, its current yield will be less than its yield to maturity. f. All else equal, bonds with longer maturities have more interest rate (price) risk than do bonds with shorter maturities.
4. Which of the following statements on bond yield and price relationship are correct?
a. If a bonds yield to maturity exceeds its coupon rate, the bonds current yield must also exceed its coupon rate. b. If a bonds yield to maturity exceeds its coupon rate, the bonds price must be less than its maturity value. c. If two bonds have the same maturity, the same yield to maturity, and the same level of risk, the bonds should sell for the same price regardless of the bonds coupon rate. d. All else equal, an increase in interest rates will have a greater effect on the prices of long-term bonds than it will on the prices of short-term bonds. e. An increase in interest rates will have a greater effect on a zero coupon bond with 10 years maturity than it will have on a 9-year bond with a 10 percent annual coupon.
5. . A bond with a face value of $1,000 has a 15-year maturity and a 7.5 percent annual coupon. The bond has a current yield of 7.5 percent. What is the bonds yield to maturity?
6. MJI Corporation bonds mature in 6 years and have a yield to maturity of 8.5 percent. The par value of the bonds is $1,000. The bonds have a 10 percent coupon rate and pay interest on a semiannual basis. Assuming there are no changes to interest rates during the course of the year, what are the current yield and capital gains yield on the bonds for this year?
7. A bond that matures in 8 years sells for $960. The bond has a face value of $1,000 and a 9 percent annual coupon. i. What is the bonds current yield?
ii. What is the bonds YTM?
iii. Assume the YTM remains the same for the next three years, what will be the price of the bond three years from today?
8. The following is the balance sheet for XYZ Corporations as at December 31, 2016 Long-term debt (bonds, at par) $20,000,000
Preferred stock 12,000,000
Common stock ($10 par) 14,000,000
Total Liabilities and Equity $46,000,000
The bonds have a 6 percent coupon rate, payable semiannually, and a par value of $1,000. They mature in 8 years time. The yield to maturity is 16 percent, so the bonds now sell below par. Determine the current market value of the firms debt?
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