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?
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(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 22.12345678
b. For "COMPOUNDED RATES" include all decimals in the rate (do not round off).
Example semi-annual: 13%/2 =0.065
c. For the "VALUE OF THE
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?
Step by step
Solved in 2 steps
- (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…(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?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
- Can the price of bond B be determined using the PV function or any other function in excel? What is the EAR (effective annual rate) of these two bonds?K Bonds are priced in the market so that their A. stated rate B. yield OC. discount OD. par value is the same as the market rate of interest.The method used to value a default-free zero coupon bonds (such as T-bills) requires that the interest is deducted from the face value of the bonds in advance. a.rediscounting b.market price c.forward price d.discount interest
- From page 9-3 of the VLN, when determining the issue price of a bond, which interest rate would you use? Group of answer choices A. Stated rate B. Market rate C. Nominal rate D. Compound rateUnlike 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…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 5 105
- Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…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%…