ChatGPT BusinessCourse Metrics Investment Game M Gmail 21 How To Gu Consider these two bonds: Bond A: 6% coupon rate paid annually for 10 years. The yield to maturity is 5.50% Bond B: 6% coupon rate paid annually for 20 years. The yield to maturity is 5.68% A. What is the price of each bond? B. Suppose yields to maturity of both bonds increase by 0.1%. Bond A's yield increases to 5.6% and Bond B's increases to 5.68%. Calculate prices of both bonds with this new yields. Have the prices changed by the same amount? Explain the results. Edit View Insert Format Tools Table V 12pt Paragraph | BIUAT²: A) 1) Price of Bond A P I
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- Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. Using the bond pricing formula, calculate the price of the bond and duration. Calculate the convexity of the bond. Using the calculations from above, what is the “approximated bond price change” using duration and convexity, if the interest rate increases by 1%? What is the actual change in the bond price if the interest rate increases by 1%? Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {Solve Bond Y using Excel
- klp.1Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. a. Using the bond pricing formula, calculate the price of the bond and duration. ABC b. Calculate the convexity of the bond. c. Using the calculations from above, what is the "approximated bond price change" using duration and convexity, if the interest rate increases by 1%? d. What is the actual change in the bond price if the interest rate increases by 1%? e. Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? f. Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?An XYZ April 2051 bond with a 9.96 percent coupon interest rate and a par value of $1,000.00 recently had a price of 88.688. Calculate the following: a. When will the bond mature? b. How much will you have to pay to purchase this bond? c. What is the current yield based on the price that you calculate in part b? *** a. The bond will mature in the year b. To purchase this bond, you would have to pay $ nearest cent.) c. The current yield is%. (Round to two decimal places.) (Type a whole number.) (Round to the
- Use the following information to answer the questions. Bond A Bond B Face Value 1000 1000 Coupon rate 10% 8% Coupons paid out Semi-annually Quarterly Years to maturity 4 4 Bond price 800 ? Suppose bond A and B have the same YTM. What is the yield to maturity of bond A? What is the price of bond B? What is the current yield of bond B? What is the EAR (effective annual rate) of these two bonds?Topic 3: Time value of money4. Suppose a 5-year zero-coupon Treasury bond with face value $1000 has a 5% yield(annually compounded).(a) What is the price of this bond?(b) Suppose another zero-coupon Treasury bond also has a 5% yield, but a price of$325.57. What is the maturity of this bond?ANSWER ASAP PLZ You observe a one-year discount US Treasury bond in the market with the following characteristics: Face Value of $100 and Price of $91. 1) What is the implied one-year interest rate? 2) You also observe a 2-year US Treasury bond selling at par with the following characteristics: Face value of $1,000 and annual coupon of 10%. What is the implied one-year Treasury rate for the second year?
- 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.)vvk.3Question 1 : Consider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a $1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration is defined as a weighted average of the maturities of the cash payments. Suppose the weight assigned to the maturity of 1 year is W. Show your work. No work, no credit A: Duration 2.28 and W=7.77% B: Duration=3.56 and W-20.5% C. Duration 3.56 and W-23.1% D. Duration=3,56 and W-7.77%