BOND PRICING. Find PBOND for each of the following $1000 par value bonds. Use a calculator to find the correct answers. Round to the nearest penny ($0.01). Example: 12% coupon (APR, compounded annually), matures in one year, r=12% 5. 12%APR 12% = 0.12 First, convert the coupon rate from APR to periodic rate: lyear уear Second, find the соиpon: Coupon - (СоuponRate)(Face) - (0.12)(1000) — 120 - С %3D (lyr)lyrs |= 1yr = T yr Third, find the relevant number of periods: Fourth, use bond pricing formula with the appropriate discount rate (here, 12%): T 1000 + 120 1000 C F 120 1120 PBOND = 1000 %3D (1 + r)' )' (1+r)" | (1.12)' (1.12)' 1.12 1.12 1.12 \t=1 12% coupon (APR, compounded quarterly), matures in one year, r=4% per quarter [Here, the discount rate is ready to use, while the coupon rate is still in its marketing-gimmick form.] b. а. 12% coupon (APR, compounded semi-annually), matures in two years, r=6% per 6 months

BOND PRICING. Find PBOND for each of the following $1000 par value bonds. Use a calculator to find the correct answers. Round to the nearest penny ($0.01). Example: 12% coupon (APR, compounded annually), matures in one year, r=12% 5. 12%APR 12% = 0.12 First, convert the coupon rate from APR to periodic rate: lyear уear Second, find the соиpon: Coupon - (СоuponRate)(Face) - (0.12)(1000) — 120 - С %3D (lyr)lyrs |= 1yr = T yr Third, find the relevant number of periods: Fourth, use bond pricing formula with the appropriate discount rate (here, 12%): T 1000 + 120 1000 C F 120 1120 PBOND = 1000 %3D (1 + r)' )' (1+r)" | (1.12)' (1.12)' 1.12 1.12 1.12 \t=1 12% coupon (APR, compounded quarterly), matures in one year, r=4% per quarter [Here, the discount rate is ready to use, while the coupon rate is still in its marketing-gimmick form.] b. а. 12% coupon (APR, compounded semi-annually), matures in two years, r=6% per 6 months

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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A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....
Suppose you buy a bond with a coupon of 8.2 percent today for $1,100. The bond has 7 years to maturity. Assume interest payments are reinvested at the original YTM. a. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Two years from now, the YTM on your bond has increased by 2 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price
Submit your solutions as an Excel document. Be sure to clearly label the various parts of the problem. 1. Consider the following two bonds that make semi - annual coupon payments. Assume the first coupon payment occurs in exactly six months, and the bond has a face value of $1000. Coupon Rate Time to Maturity YTM Bond A 3.80% 8 years 3.6% Bond B 3.80% 18 years 4.2% a.) What is the current price (t = 0) of Bond A? Be sure to set up the valuation equation. b.) What will be the price of Bond A exactly halfway in between t = 0 and the first coupon date? c.) Using a spreadsheet, plot the price - yield relationship for both Bond A and Bond B on the same set of axes. Do this for a range of yields from 2% to 11% (in increments of 50 basis points). d.) Use a spreadsheet to compute the annualized Macaulay duration and modified duration for Bond A at a yield - to - maturity of 3.6%. Provide an interpretation of the modified duration with regards to maturity and interest rate risk. e.) Use a…
Consider a two-year coupon bond issued by an airline with Face Value of $1,000, Coupon Rate of 3%, Annual Default Probability of 5%, & Risk-Free Interest Rate of 3% per year. Use a binomial tree to value the bond assuming no recovery. Show your work & write your answer in dollars and cents below. The value (price, expected present value, etc.) of the bond is _______.
Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. ∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000 ∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500. 1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%? $421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…
Exploring Finance: Coupon Bonds. Coupon Bonds Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. 5. For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by changes in the market rate than a 1-year bond. affected the same by changes in the market rate than a 1-year bond. more affected by changes in the market rate than a 1-year bond. Cannot be determined.
Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %
Consider a bond (with par value = $1,000) paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity. Required: a. Find the bond's price today and six months from now after the next coupon is paid. b. What is the total (6-month) rate of return on the bond? Complete this question by entering your answers in the tabs below. Required A Required B Find the bond's price today and six months from now after the next coupon is paid. Note: Round your answers to 2 decimal places. Current price Price after six months $ $ 1,052.42 1,044.52
1. (Bond Valuation Problem) A $1,000 par value bond with a coupon interest rate of 12.8 percent per year paid semiannually matures in 25 years. Draw a CF diagram corresponding to this information and then complete the table below by filling in the prices and YTMs that correspond to the given YTM’s and prices respectively. Show all the work for part D – both the PVAt and PV calculations. Then check your answer using your calculator’s TVM solver menu or function keys. PRICE YTM A. ______________ ___0%____ B. __$1,000______ __________ C. __$ 917.19_____ __________ D. ______________ ___16%____
Consider a bond with a current value of $928.01. It is a 10-year, $1,000 bond, coupons paid semi-annually, and has a 7% coupon rate. a. The bond's yield to maturity (YTM) is: b. What will be its value (per $1,000 of face) if its YTM changes to 10%? Question content area bottom Part 1 a. The YTM is enter your response here%. (Round to two decimal places.) b. Value (per $1,000 of face): $enter your response here. (Round to the nearest cent.)
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)

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