3 Imagine that a local water company issued a $10,000 ten-year bond at an interest rate of 6%. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9%. a. Given the change in interest rates, would you expect to pay more or less than $10,000 for the bond? b. Calculate what you would actually be willing to pay for this bond.
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#3 Imagine that a local water company issued a $10,000 ten-year bond at an interest rate of 6%. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9%.
a. Given the change in interest rates, would you expect to pay more or less than $10,000 for the bond?
b. Calculate what you would actually be willing to pay for this bond.
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- Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 22 years. Assume you purchase a bond that costs $50. a. What is the exact rate of return you would earn if you held the bond for 22 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $50 in 2017 at the then current interest rate of .24 percent year, how much would the bond be worth in 2028? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2028, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2039. What annual rate of return will you earn over the last 11 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Imagine that a $10,000 ten-year bond was issued at an interest rate of 6%. You are thinking about buying this bond one year before the end of the ten years, but the interest rate a savings account pays currently is 9%. Calculate what you would be willing to pay for this bond. Suppose that the savings account interest rate is not 9%, but 7%. How much would you be willing to pay for this bond now? Compare the value of this bond under two different interest rates.Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 24 years. Assume you purchase a bond that costs $25. a. What is the exact rate of return you would earn if you held the bond for 24 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $25 in 2020 at the then current interest rate of .15 percent year, how much would the bond be worth in 2031? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2031, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2044. What annual rate of return will you earn over the last 13 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Rate of return b. Bond value c. Rate…
- Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 18 years. Assume you purchase a bond that costs $100. a. What is the exact rate of return you would earn if you held the bond for 18 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $100 in 2020 at the then current interest rate of .22 percent year, how much would the bond be worth in 2028? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2028, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2038. What annual rate of return will you earn over the last 10 years?4. Suppose that an investment institution offers you two kinds of bonds and you are willing to take one of them. The first bond, called 'Bond A1' pays you $5000 in 10 years, while the second bond, called 'Bond B1' pays you the same amount but in 20 years. а. If the interest rate is 5%, what is the value of each bond today? Which bond is worth more? Why? b. If the interest rate increases to 8%, what is the value of each bond? Which bond has a larger percentage change in value? After knowing the answer of A and B, you will С. be able to complete this sentence: "The value of bond [rises / falls] when the interest rate increases, and bonds with longer time to maturity are [more/less] sensitive to changes in the interest rate"A government bond that originally cost $5000 with a yield of 6% (simple interest) has 5 years left before redemption. i. Determine its present value if the prevailing rate of interest is 10%. Briefly explain the steps in your own words. ii. Is it worth purchasing this bond? Provide your own reasoning.
- You will receive $100 from a savings bond in 3 years. The nominal interest rate is 8%. a. What is the present value of the proceeds from the bond? b. If the inflation rate over the next few years is expected to be 3%, what will the real value of the $100 payoff be in terms of today's dollars? C. What is the real interest rate? d. Show that the real payoff from the bond [from part (b)] discounted at the real interest rate [from part (c)] gives the same present value for the bond as you found in part (a).6. An initial sum of $50,000 is invested in a bond. You will receive payments of $2,000 semi-annually for 10 years. a. What is the semi-annual interest rate this bond pays? b. If you sold the bond after 5 years for $60,000 what would be your rate of return?You are considering purchasing a bond. The bond will pay you $100 at the end of each year for three years. At the end of the third year, the bond will also pay you back its $1,000 face value. Assuming a 10% discount rate, how much is this bond worth today? Round to the nearest dollar. I am having trouble calculating how much this bond is worth today. Thank you!
- If you buy municipal bond (tax free) that cost $1,000 and will pay a 4.7% coupon every year for the next 10 years (so the maturity date is in 10 years). At maturity the bond returns the original $1,000. If there is a 2.5% annual inflation, a) what real rate of return will you receive? b) How much real $ profit did you make from the bond?3. What is the present value of a $20,000 payment you would receive 5 years from now, assuming an annual interest rate of 7%? 4. What is the future value 6 years from now of $15,000 you hold today when the annual interest rate is 4%? 5. What is the current price of a discount bond with a face value of $10,000 and an interest rate of 6%? 1Suppose a State of Califomla bond will pay 1,000 eight years from now. If the going interest rate on these 8 year bonds is 6.0% how much is the bond worth today?