You have purchased a zero coupon bond that will pay $15,000 to your newborn child in 21 years. If this bond is discounted at a rate of 2.875% per year, what is today's price (present value) for this bond? A. $5,654 B. $9,348.25 C. $8,271.50 D. $15,000
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- You purchased a bond at a price of $1,400. In 25 years when the bond matures, the bond will be worth $10,000. It is exactly 17 years after you purchased the bond and you can sell the bond today for $7,300. If you hold the bond until it matures, what annual rate of return will you earn from today? Multiple Choice O 3.6 percent 4.0 percent 8.2 percent 10.2 percent 4.5 percentSuppose you purchase a zero coupon bond with face value $1,000, maturing in 25 years, for $180. What is the implicit interest, in dollars, in the first year of the bond's life? O $2.86 O $9.84 O $12.78 O $19.27 O $30.00You are considering the purchase of Coupon Bond with a face value of $1,000, which matures in twenty-seven years and pays 6.38% annual coupons. If you require a return of 4.76% on this security, what price should you bid on it today? $1,217.99 $1,243.37 $1,288.99 $1,000.00
- You will be paying $8,600 a year In tultion expenses at the end of the next two years. Bonds currently yleld 7%. Q. What is the present value and duration of your obligation? b. What maturity zero-coupon bond would Immunize your obligation? c. Suppose you buy a zero-coupon bond with value and duration equal to your obligation. Now suppose that rates immediately Increase to 9%. What happens to your net position, that is, to the difference between the value of the bond and that of your tultion obligation? d. What if rates fall Immediately to 5% ? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D What is the present value and duration of your obligation? (Do not round intermediate calculations. Round "Present value" to 2 decimal places and "Duration" to 4 decimal places.) \table[[,,,],[Present value,,,,,],[Duration,,years,,,]]You win the Console Lottery. They payoff is a growing “console” bond. That means that the bond will pay you $100,000 next year and the payment will grow a 3.5% per year forever. If your required return is 8%, what is the value of the bond to you today? Group of answer choices $2,222,222. $1,250,000. $100,000. $2,857,143.A zera coupon bond with promised payment of $100 to be paid in 5 years has price equal to$80. What is the YTM?
- You are considering the purchase of a coupon bond with a face value of $1,000, which matures in 14 years, and pays 4.15% (annual) coupons. If you require a return of 3.50% on this instrument, how much would you offer to pay for it today? [Present the answer rounded to two decimal places, e.g. 1035.16]You are considering the purchase of a perpetual bond that pays you $174 per year for the foreseeable future. If you require a 5.85% rate of return on this bond investment, what is a fair price for the bond that you would be willing to pay today? To nearest $0.013. Suppose that you observe the following two bonds being traded, both of which pay coupons annually and have a $100 face value: Bond Coupon Maturity Rate A B 6% 2% 30 years 30 years Price $147.13 $64.47 If the Law of One Price holds, what is the price of a 30-year Annuity that pays $8 per year starting at t = 1?
- Please show full steps and correctly thanksSuppose you purchase a 10-year bond with 6.3% annual coupons. You hold the bond for four years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 4.6% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? Cash Flows - $113.39 $6.30 $6.30 $6.30 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to one decimal place.) $115.04Suppose you could buy an annual bond that pays $72 coupon a year forever, and your required rate of return for this bond is 12%. To you, the present value of this bond would be closest to _____. Group of answer choices $60.00 $166.67 $600.00 $1,666.67