You are managing a portfolio of $1 million. Your target duration is 10 years, and you can choose from two bonds: a zero-coupon bond with maturity of 5 years, and a erpetuity", each currently yielding 5%. How much of each bond will you hold in your portfolio? How will these ratios change next year if target duration is now 9 years?
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- Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)Suppose that you buy a two-year 8% bond at its face value.(a) What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? What will be your total real return? (b) Now suppose that the bond is a TIPS. What will be your total two-year real and nominal returns?You are managing a portfolio of $1 million. Your target duration is 10 years, and you can choose from two bonds: a zero-coupon bond with maturity five years, and a perpetuity, each currently yielding 5%. a. (Immunization) How much of each bond will you hold in your portfolio (in percentage)? b. (Rebalance) How will these fractions change next year if target duration is now nine years? D
- Suppose you purchase a ten-year bond with 12% 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 10.64% 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 internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…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.)
- Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.Suppose that you buy a two-year 8% bond at its face value. a. What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? b. What will be your total real return?Suppose your friend is debating purchasing a bond that has a $1,000 par value, 13 years to maturity, and a 7% annual coupon. Your friend would like to determine the yield to maturity if the bond sells for a price of $980. In order to use your financial calculator to solve for the rate of return on this bond, you need to know the following information: PV: the bond's value or price N: the number of years before the bond matures PMT: the dollars of interest paid each year, which equals the coupon rate times the par value of the bond FV: par, or maturity, value of the bond Complete the following table by selecting the appropriate values for N, PV and PMT. Then use your financial calculator to solve for the rate of return, and complete the final row of the table. Input $1,000 Keystroke I/Y PV PMT FV Output Suppose your friend wants to know what price the bond will be in three years assuming the yield to maturity remains constant. To calculate what the bond price will be three years from…
- Suppose you purchase a 10-year bond with 6% 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 4.01% 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 internal rate of return of your investment? Note: Assume annual compounding. The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ The total cash flow at time 4 (after the fourth coupon) is $ negative number.) b. What is the internal rate of return of your investment? (Round to the nearest cent. Enter a cash outflow as aSuppose you purchase a 10-year bond with 6.4% 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 5.5% 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. Year 0 1 2 3 4 Cash Flows $110.90 $6.40 $6.40 $6.40 $104.50 B. Year 0 1 2 3 4 Cash Flows - $106.78 $6.40 $6.40 $6.40 $110.90 C. Year 0 2 3 4 Cash Flows $104.50 $6.40 $6.40 $6.40 $110.90 OD. Year 1 2 3 Cash Flows $106.78 $6.40 $6.40 $6.40 $110.90 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.)Suppose 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…