Sarah is considering the purchase of a 20-year 7% coupon bond selling for $816 and a par value of $1,000. The yield to maturity for this bond is 9%. Answer the following questions. (a) Suppose that instead of investing in the bond, Sarah invests $816 for 20 years earning 9%, compounded semiannually. How much is the investment worth in dollar terms at the end of 20 years? (b) What are the total undiscounted coupon payments that Sarah receives over the life of the bond? (Hint: Simply multiply the value of each coupon times the number of coupons received) (c) What is the future dollar value of the coupon payments and the repayment of principal at the end of 20 years?

Sarah is considering the purchase of a 20-year 7% coupon bond selling for $816 and a par value of $1,000. The yield to maturity for this bond is 9%. Answer the following questions. (a) Suppose that instead of investing in the bond, Sarah invests $816 for 20 years earning 9%, compounded semiannually. How much is the investment worth in dollar terms at the end of 20 years? (b) What are the total undiscounted coupon payments that Sarah receives over the life of the bond? (Hint: Simply multiply the value of each coupon times the number of coupons received) (c) What is the future dollar value of the coupon payments and the repayment of principal at the end of 20 years?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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3) Don makes a one time investment in the following way: he purchases a 30 year, $5, 000 face value bond with semiannual coupons, and with a semianmual 4% coupon rate and a semianmual 6% yield rate. Immediately after receiving his coupons, he invests his coupons into an account earning a nominal semiannual interest rate of i) = 3%. Find how much is in the account after 30 years and find Don's nominal annual yield rate over the 30 year period.
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 a
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.)
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 6.4% 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.)
Consider a six-year, 10% coupon bond (yearly coupon payments) with a face value of $1000 that John bought for $950. (a). What is the yield to maturity of this bond? (b). Suppose after holding it for one year, (and receiving one coupon payment), John sells it for $1050. What is the return John got from holding this bond for one year?
Suppose 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.) $115.04
Suppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for fouryears, and sell it immediately after receiving the fourth coupon. If the bond’s yield to maturitywas 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 internal rate of return of your investment?
Suppose Anastasia has a consol bond (a perpetuity bond) that pays an annual coupon of $200 per year and yields on similar types of investments are 10%. If Anastasia expects competing yields will increase to 12%, what is her expected capital gain (positive for a gain and negative for a loss)? a. -$333.33 b. $2,884.47 C. -$1,666.67 d. $1,066.67
3. You own several bonds and as an astute investor, you keep track of your interest payments (also known as coupon payments or cash flows). Annually, you receive a fixed total of interest payments of $2,000 per year from these bonds for the next 5 years and your required rate of return is 7.5%. What is the current value of your bond investment? Show your work and explain your answer.
Suppose 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?

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