4. Suppose that an investment institution offers youtwo kinds of bonds and you are willing to take oneof 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 20years.а.If the interest rate is 5%, what is the value ofeach bond today? Which bond is worth more?Why?b. If the interest rate increases to 8%, what is thevalue of each bond? Which bond has a largerpercentage change in value?After knowing the answer of A and B, you willС.be able to complete this sentence: "The value ofbond [rises / falls] when the interest rateincreases, and bonds with longer time tomaturity are [more/less] sensitive to changes inthe interest rate"

Present worth of a bond means the present value of all the future payments which are going to be…

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.

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.

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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We would like you to take a role of a fixed income specialist and provide advice to a friend who has an investment problem. Suppose your friend has some savings and they are thinking about investing them in bonds for a period of two years. They are considering the following two bonds that are currently available on the market: four-year bond with face value $10,000, coupon rate 6%, paying coupons annually eight-year bond with face value $10,000, coupon rate 10%, paying coupons annually Assume that the term structure of interest rates is the following: r1=1%, r2=3%, r3=5%, r4=7%, r5=8%, r6=8.5%, r7=9%, r8=9.2%. Assume also that in two years there are two different possible states of the world with equal probability: all interest rates stay at the same level or all interest rates increase by 1% Your friend wants you to tell them the rate of return they could earn on each of the above two bonds over the period of two years. They also ask for advice about which bond to select for…
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.
Which of the following investments that pay will $18,500 in 8 years will have a higher price today? The security that earns an interest rate of 8.50%. The security that earns an interest rate of 12.75%.
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.
Lloyd's of London is selling a perpetual bond that will provide the bondholder with $100 / year forever. The first payment is one year from now. Assuming an interest rate of 5%, what is the value of this bond? a) $2,000 b) $5,000 c) $2,200 d) $4,400
If the owners choose to invest in bonds instead, they look at a $136,125.00 bond set to mature in 9 years with a bond rate of 2.00%, payable semi-annually. The market rate is 5.40%, compounded semi-annually. The owners will only purchase the bond if they can afford it with their savings ($123,750.00), and they can get the bond at a discount because they think the market rate will go down, potentially making the bond more valuable in the future. 2. Calculate the purchase price of the bond if it is purchased today (9 years before maturity). 3. Do the owners have enough money to buy their bond? Will they make the purchase?
You manage a pension fund that will provide retired workers with lifetime annuities. You expect a large number of workers to retire in 8 years. You have the following two bonds to invest in and immunize this portfolio. Inputs Bond A Bond B Settlement date 01-01-2020 01-01-2020 Maturity date 01-01-2025 01-01-2040 Coupon rate 0.025 0.0000 Face Value $1,000.00 $1,000.00 Coupons per year 1 1 Obligation Time to Payout 8 Payout $50,000,000 Initial Yield to Maturity 0.0750 Required: Using any necessary data above, calculate the Present value and Macaulay Duration of the obligation. Assume annual payments. Then calculate the Macaulay Duration and the Modified Duration for each bond. Use this information to immunize the portfolio. Then, re-immunize the portfolio 1 year later using the new yield.
You are considering investing in a security that will pay you RM1,000 in 'n' years. Required: How long do you have to invest if you start the investment of RM250 today with the appropriate discount rate of 10 percent quarterly? i. ii. Assume these securities sell for RM365, in return for which you receive RM1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for RM365?
You enter into a forward contract to buy a 10-year, zero coupon bond that will be issued in one year. The face value of the bond is $1,000 and the 1-year and 11-year spot interest rates are 5.3 percent and 7.3 percent, respectively. a. What is the forward price of your contract? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. Suppose both the 1-year and 11-year spot rates unexpectedly shift downward by 1.5 percent. What is the new price of the forward contract? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Forward price b. New forward price
There are two options of investments given to an investor. Option A is a bond with face value of P100,000, 6% interest rate while the yield to maturity rate is 8%. Option B is a bond with a face value of P80,000, 14% (rounded up) interest rate while the effective rate of return is at 10%. Both investments is for 5 years and the interest income are being received annually. Which of the two investments should you choose? A. Option A B. Option B C. Either of the options D. answer not given
A firm considers to invest in two zero-coupon bonds (A and B) in order to cover for a selection of its future liabilities. These zero-coupon bonds will be redeemed in 7 years' and in 20 years' time, respectively. The given selection of its liabilities consist of £11 million due in 11 years' time and £14 million due in 16 years' time. Find the value of bond B at a rate of interest of 5% per annum effective such that the first two conditions for Redington's theory of immunisation are satisfied
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?

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