Assume that three years ago, you purchased a 10-year corporate bond that pays 8.0 percent. The purchase price was $1,000. Also, assume that today comparable bonds are paying 7.0 percent. a) What is the annual dollar amount of interest that you receive from your bond investment? b) Assuming that comparable bonds are paying 7.0 percent, what is the approximate market price for which you could sell your bond?
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- 3. Assume you purchased a bond for $9,186. The bond pays $300 interest every six months. You sell the bond after 18 months for $10,000. Calculate the following: a. Income. b. Capital gain (or loss). c. Total return in dollars and as a percentage of the original investment. Review Only Click the icon to see the Worked Solution. a. The current income is $ (Round to the nearest dollar.) b. The capital gain (or loss) is $ (Enter a loss as a negative number and round to the nearest dollar.) c. The total return in dollars is $ (Round to the nearest dollar.) The total return as a percentage of the original investment is %. (Enter as a percentage and round to two decimal places.)(b)You purchase the $110 bond today and sell it off next year at $108. What is its one-year rate of return (assume the bond’s coupon rate is 5% and its face value is $100)? If the expected inflation over the course of the year is 2%, what would the ex-ante real rate of return be for the bond on part (b)?a. Assuming you purchased the bond for $350 what rate of return would you earn if you held the bond for 25 years until it matured with a value $1000? a. Rate of return____% b. Suppose under the terms of thebond you could redeem the bond in 2024. DMF agreed to pay an annual interest rate of 1.4 percent until the date. How much would the bond be worth at that time? b. Bond value_____ c. In 2024 instead of cashing in the bond for its then current value you decide to hold the bond until it mature in 2043. What annual rate of return will you earn over the last 19 years? c. Rate of return___%
- 1. You purchase a 25-year, $1,000 bond with a coupon rate of 8 percent paid annually. The market rate almost immediately falls to 7 percent. a. What would be your rate of return if you had purchased the bonds with a margin requirement of 40 percent? b. What would be your rate of return if the interest rates increased, immediately after purchase, to 9 percent? ISuppose you purchase a 10-year bond with 6.64% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.17% 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? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) OA. Years Cash Flows O B. Years C. Years Cash Flows Cash Flows - $114.06 O D. Years 0 Cash Flows $107.42 0 0 - $111.26 0 $111.26 1 $6.64 1 $6.64 1 $6.64 1 $6.64 2 $6.64 2 + $6.64 2 + $6.64 2 + $6.64 3 $6.64 3 $6.64 3 $6.64 3 $6.64 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.) 4 $114.06 4 $107.42 4 $114.06 4…Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% 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? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 2 3 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 C. Years 0 1 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 + $6.19 $6.19 $6.19 $104.27 Cash Flows - $110.46 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)
- Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% 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? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 0 2 3 4 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 ○ C. Years 0 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 Cash Flows - $110.46 $6.19 $6.19 $6.19 $104.27 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)(b) An investor invested his wealth into three bonds for 7 years. The following table shows the market data of these three bonds: Market Price Modified Convexity 11.77 Macaulay Duration Bond A 93.26 3.19 108.04 6.19 44.57 Bond B Bond C 105.91 8.52 83.11 The term structure is assumed to be flat and the annual effective interest rate is currently 3.2%. Suppose that the investor has $50000 initially and he invests 40% of capital in bond A, 25% of capital in Bond B and 35% in bond C. Estimate the IRR of the bond investment if the future interest rate becomes i = 4%.Refer to Table 10-1, which is based on bonds paying 10 percent interest for 20 years. Assume interest rates in the market (yield to maturity) decline from 16 percent to 6 percent. o. What is the bond price at 16 percent? Bond price |$ $. 64427 b. What is the bond price at 6 percent? c. What would be your percentage return on investment if you bought when rates were 16 percent and sold when rates were 6 percent? Note: Do not round intermediote colculotions. Input your onswer os o percent rounded to 2 decimel places. Return on irvestment $
- (i) If investors have demanded an interest rate of 5 percent on the bond investment, what is the maximum prices to pay for the 1-year bond and 30-year bond? (ii) Suppose that the interest rate has increased to 20%, calculate the values of the 1-yearbond and 30-year bond.(iii) Based on the calculations in parts (b) (i) and (ii) above, explain with reasons thefundamental relationship between interest rates and bond maturity. (iv) Briefly explain the meaning of the terms “bond’s coupon rate”, “current yield”, and“yield to maturity”. (v) Explain why bonds have protective covenants.(Bond valuation) You own a bond that pays $120 in annual interest, with a $1,000 par value. It matures in 20 years. Your required rate of return is 11 percent a. Calculate the value of the bond. b. How does the value change if your required rate of return (1) increases to 15 percent or (2) decreases to 7 percent? c. Explain the implications of your answers in part b as they relate to interest rate risk, premium bonds, and discount bonds. d. Assume that the bond matures in 4 years instead of 20 years. Recompute your answers in part b. e. Explain the implications of your answers in part d as they relate to interest rate risk, premlum bonds, and discount bonds.You consider purchasing bonds today. There are three future time periods, t = 1, 2, 3, wherebonds can have payoffs. Consider the following 4 bonds: a) One amortizing bond paying $40 each period trading at a price of $104.95.b) One amortizing bond paying less in early periods and more in later periods. The bond pays $40 inperiod 1, $30 in period 2, and $20 in period 3. This bond is trading at a price of $80.61.c) One coupon bond with a 11% coupon rate trading at a price of $96.08.d) One zero coupon, which currently trades at a price of $77.22. Suppose you can take long or short positions in any bond, and also lend or borrow money. Is it possibleto construct an arbitrage trade where you pay nothing upfront, and get a certain payoff in period 1? If so,describe how you would do this trade.