his first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.)
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| This first table describes prevailing market interest rates. | |||||||
| Market Data | |||||||
| Yield | 0.05 | ||||||
| Required: | |||||||
| Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. | |||||||
| (Use cells A5 to B5 from the given information to complete this question.) | |||||||
| Time Until Payment | Payment | Discounted Payment | Weight | Time × Weight | |||
| 1.00 | $30.00 | ||||||
| 2.00 | $30.00 | ||||||
| 3.00 | $30.00 | ||||||
| 4.00 | $1,030.00 | ||||||
| Price: | |||||||
| Duration | |||||||
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- Unlike the coupon interest rate, which is fixed, a bond's yield varies from day to day depending on market conditions. To be most useful, it should give us an estimate of the rate of return an investor would earn if that investor purchased the bond today and held it for its remaining life. There are three different yield calculations: Current yield, yield to maturity, and yield to call. A bond's current yield is calculated as the annual interest payment divided by the current price. Unlike the yield to maturity or the yield to call, it does not represent the actual return that investors should expect because it does not account for the capital gain or loss that will be realized if the bond is held until it matures or is called. This yield was popular before calculators and computers came along because it was easy to calculate; however, because it can be misleading, the yield to maturity and yield to call are more relevant. The yield to maturity (YTM) is the rate of return earned on a…All computations must be done and shown manually Question 4 Complete the following table and draw a graph showing how bond price for each bond changes over time as they move towards their maturity dates. Describe the relationship between bond prices and time remaining for maturity. Please include graph as per above information Years remaining to maturity BOND A Coupon. rate = 8% p.a. Market interest rate = 6% p.a. BOND B Coupon rate = 6% p.a. Market interest rate = 6% p.a. BOND C Coupon rate = 4% p.a. Market interest rate = 6% p.a. 10 9 8 7 6 5 4 3 2 1 0All computations must be done and shown manually Question 4 Complete the following table and draw a graph showing how bond price for each bond changes over time as they move towards their maturity dates. Describe the relationship between bond prices and time remaining for maturity. Years remaining to maturity BOND A Coupon. rate = 8% p.a. Market interest rate = 6% p.a. BOND B Coupon rate = 6% p.a. Market interest rate = 6% p.a. BOND C Coupon rate = 4% p.a. Market interest rate = 6% p.a. 10 9 8 7 6 5 4 3 2 1 0
- The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105Calculate 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%…Show all workings. Complete the following table and draw a graph showing how bond pricefor each bond changes over time as they move towards their maturitydates. Describe the relationship between bond prices and timeremaining for maturity.YearsreminingtomaturityBOND ACoupon rate = 8% p.a.Market interest rate =6% p.a.BOND BCoupon rate = 6% p.a.Market interest rate =6% p.a.BOND CCoupon rate = 4% p.a.Market interest rate =6% p.a.109876543210
- (PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 1. A bond issued by Delta Corporation matures in 12 years. It has a 12.5 percent annual coupon rate and a face value of P10,000. The bond has a discount rate to maturity of 9.5 percent. What is the price of Omega's bond today?(PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 3. Assume that Greenwich and Pizza Hut have similar P100,000 par value bond issues outstanding. The bonds are equally risky. Pizza Hut bond has an annual coupon rate of 8 percent and matures 20 years from today, the nominal annual rate of return is 12%. Greenwich's bond has a coupon rate of 8 percent, with interest paid semiannually, matures in 20 years, and nominal required rate of return 12 percent on a semi-annual basis. What is the DIFFERENCE in current…Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.
- (PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 825 2. Your sister has been offered a 5-year bond with a P1,000 par value and a 7 percent coupon rate. This bond's interest is paid semi-annually. If your sister is to earn a nominal rate of return of 9 percent, compounded semi-annually, how much should she pay for the bond?(PLEASE READ THIS DIRECTION)Rules for Bond Valuation Problem Solving:a. For the "PV FACTOR in computing the PV of the coupon and PV for the maturity value/ principal use until 8-9th decimal place" before multiplying the coupon payment or future value.Example: ___x 2.123456789 or 22.12345678b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).Example semi-annual: 13%/2 =0.065c. For the "VALUE OF THE BOND/ PRICE OF THE BOND" round off your answers and final answers into whole numbers.Example: 824.59= 8251. Charlie Corporation is a chemical company. The company issued an outstanding bond with a P100,000 par value at 15-year maturity date. The coupon rate is 8%, and interest is paid quarterly. The required nominal interest rate on this borrowings has now increased to 16 percent . What is the current market value of the bond?The bond shown in the following table pays interest annually in the table attached. a. Calculate the yield to maturity (YTM) for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.