You are given the following data for two bonds with semiannual payments (A and B)BondYears to MaturityCoupon rate20208%4%Similar bonds with 20 year to maturity sell for 9% coupon rates in the market.Calculate the bond value for bond A and BWhat happends if the coupon rate of similar bonds drops to 6%?Calculate the bond value for bond A and BBond ValuationRequired ReturnCoupon4.50%4.50%8040Par-value10001000Frequency2BasisYieldBond 1Bond 24.5%Price ChangePercentage ChangeList the main bond theorems you derive from the above calculation

Here, Bond value is 'P' The coupon payment is 'C' The coupon rate is 'r' The period of compounding…

Answered: You are given the following data for…

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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Problem: You are given the following data for two bonds with semiannual payments (A and B) Bond Settlement Date B 2/15/2020 2/15/2020 Maturity Date Coupon rate 2/15/2040 2/15/2040 4% 8% Similar bonds with 20 year to maturity sell for 9% coupon rates in the market. a) Calculate the bond value for bond A and B b) Calculate the YTM for bond A and B Bond Valuation Settlement Date 2/15/2020 2/15/2020 Maturity Date Coupon rate Required return Redemption Value Frequency Basis Calculate the PV of the bond in U.S. S 2/15/2040 2/15/2040 8% 4% 4.50% 4.50% 100 100 2 a) Use the Price Function B) Use the Yield Function
There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с с
If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5
2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 6. 6. 9. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration?
An investor wants to find the duration of a(n) 15-year, 5% semiannual pay, noncallable bond that's currently priced in the market at $518.23, to yield 12%. Using a 150 basis point change in yield, find the effective duration of this bond (Hint. use Equation 11.11). The new price of the bond if the market interest rate decreases by 150 basis points (or 1.5%) is $ (Round to the nearest cent.) →
c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 3 Bond B 108.33 15 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.
A bond quotes a rate of return of 5% and will pay $1,000 in one year with a probability of 42% and $0 with a probability of 58%. part A)What is the time premium? part B)What is the default premium?
Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.5%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline
Bonds have a maturity risk premium that can be modeled as the following:MRP = (t-1) 0.3%were t represents the years to maturity. What is the Maturity risk premium of a bond that matures in 8 years? answer in % without the symbol
Suppose you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.
Calculate the YTM based on the information provided and explainthe difference between the Yield to Maturity rate and the originalcoupon rate. YTM Bond Details: A bond is currently selling for $850 with 15 years until it matures.The bond has a current coupon rate of 6% and makes paymentssemi-annually. You purchase the bond today 1/1/2023 as yoursettlement date and you are interested in knowing what the YTMwill be. **Note, when calculating the YTM the bond price (% of par)and face value (% of par) will not be percentages, please usenumbers for their respective section. The Yield Calculation is alreadybuilt into excel, all you have to do is type is =yield.
Calculate YTC using a financial calculator by entering the number of payment periods until call for N, the price of the bond for PV, the interest payments for PMT, and the call price for FV. Then you can solve for 1/YR YTC. Again, remember you need to make the appropriate adjustments for a semiannual bond and realize that the calculated 1/YR is on a periodic basis so you will need to multiply the rate by 2 to obtain the annual rate. In addition, you need to make sure that the signs for PMT and FV are identical and the opposite sign is used for PV; otherwise, your answer will be incorrect. A company is more likely to call its bonds if they are able to replace their current high-coupon debt with less expensive financing. A bond is more likely to be called if its price is above par-because this means that the going market interest rate is less than its coupon rate. Quantitative Problem: Ace Products has a bond issue outstanding with 15 years remaining to maturity, a coupon rate of 8.4%…

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