EBK 3N3-EBK: FINANCIAL ANALYSIS WITH MI
8th Edition
ISBN: 9780176914943
Author: Mayes
Publisher: VST
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You are a fixed income analyst with an active investment in two bonds. X and Y. Bond X has a coupon rate of 9% and Bond Y has a 10% annual coupon. Both bonds have 5 years to maturity. The yield to maturity for both bonds is now 10%. If the required return rises by 14%, by what percentage will the price of the bond X change? Please provide complete details of the calculations (formula/steps) of the above question
2) As an investor, you are considering an investment in the bonds of the Soccer
Company. The bonds, which pay interest semiannually, will mature in ten years, and
have a coupon rate of 6.5% on a face value of $1,000.
a) Assume your required return is 8% (market rate) for the bonds in this risk class,
what is the highest price you would be willing to pay for the bond? (Use the PV
function)
b) What is the current yield of these bonds?
c) If you bought the bond at the above calculated price and hold the bonds for one
year, what total rate of return will you earn (assuming the market rate does not
change)?
Hint: You need to calculate the bond price one year ahead (note: in one year 9
years are left to maturity) and then compute the total return based on the capital
gains/loss yield (in %) and the current yield (in %) from b).
d) What is the yield to maturity on these bonds if you purchase them at the price
calculated under a)? (Use the RATE function)
e) If the bonds can be called in three…
Consider a 25-year coupon bond which has a face value of $500 and a 5% coupon rate. Its current price is $500. The interest on this bond is expected to go up from 5% to 10% next year.
a) Calculate the current yield of this 25-year coupon bond.
b) Using the coupon bond pricing formula, calculate the expected price at which this bond will be sold next year.
c) Calculate the expected rate of return if you buy the bond today and sell it next year.
d) Are you going to invest on this bond if your investment horizon is just one year? Explain why or why not.
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- You are given the following information about the yield curve: the 1-, and 2-year yields are yl = 4.5% and y2 = 5.5%, respectively. A 2-year annual 5% coupon bond with a face value of $1,000 is currently selling for $1,000. Assume the first coupon will not be paid until one year from now. Is there an arbitrage opportunity and, if so, how would you exploit it (assume we cannot trade in fractions of a penny)? A. There is no arbitrage opportunity B. Yes: Buy the bond and fund this by shorting a $50 face value 1-year discount bond and a $1,050 face value 2-year discount bond C Yes: Buy the bond and fund this by shorting a $47.85 face value 1-year discount bond and a $943.38 face value 2-year discount bond D. Yes: Short the bond and buy a $50 face value 1-year discount bond and a $1,050 face value 2-year discount bond E. Yes: Short the bond and buy a $47.85 face value 1-vear discount bond and a $943.38 face value 2-year discount bondarrow_forwardSuppose your friend is debating purchasing a bond that has a $1,000 par value, 13 years to maturity, and a 7% annual coupon. Your friend would like to determine the yield to maturity if the bond sells for a price of $980. In order to use your financial calculator to solve for the rate of return on this bond, you need to know the following information: PV: the bond's value or price N: the number of years before the bond matures PMT: the dollars of interest paid each year, which equals the coupon rate times the par value of the bond FV: par, or maturity, value of the bond Complete the following table by selecting the appropriate values for N, PV and PMT. Then use your financial calculator to solve for the rate of return, and complete the final row of the table. Input $1,000 Keystroke I/Y PV PMT FV Output Suppose your friend wants to know what price the bond will be in three years assuming the yield to maturity remains constant. To calculate what the bond price will be three years from…arrow_forwardAssume a 1,000 face value bond with 20 years left until maturity. If the coupon rate is 10%, paid semi-annually, and the current yield is 8.85%, what should be the yield to maturity on this bond? Show your work. Please show how to solve using a financial calculator. p/y=2 FV=1,000 n=20*2arrow_forward
- suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 6% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. 1. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is nothing%. (Round to two decimal places.)arrow_forwardSuppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…arrow_forwardSuppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 7% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is %. (Round to two decimal places.)arrow_forward
- Suppose you purchase a 10-year bond with 6.4% annual coupons. You hold the bond for four years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.5% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Year 0 1 2 3 4 Cash Flows $110.90 $6.40 $6.40 $6.40 $104.50 B. Year 0 1 2 3 4 Cash Flows - $106.78 $6.40 $6.40 $6.40 $110.90 C. Year 0 2 3 4 Cash Flows $104.50 $6.40 $6.40 $6.40 $110.90 OD. Year 1 2 3 Cash Flows $106.78 $6.40 $6.40 $6.40 $110.90 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to one decimal place.)arrow_forwardSuppose you purchase a 10-year bond with 5% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 3.49% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.)arrow_forwardSuppose you have purchased a 10% coupon bond with a face value of 1410 KWD at a price of 1040. Suppose that after one year the bond price increased to 2480. Calculate the current yield (DO NOT multiply it by 100): Calculate the capital gain (DO NOT multiply it by 100): Input the numbers with at least four digits after the decimal point. Note that the rate of return consists of two parts: current yield and capital gain, and is defined to be: R= + H where C is the periodic payments that the bond pays. Checkarrow_forward
- Suppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 4.01% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ The total cash flow at time 4 (after the fourth coupon) is $ negative number.) b. What is the internal rate of return of your investment? (Round to the nearest cent. Enter a cash outflow as aarrow_forwardSuppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for fouryears, and sell it immediately after receiving the fourth coupon. If the bond’s yield to maturitywas 5% when you purchased and sold the bond,a. What cash flows will you pay and receive from your investment in the bond per $100 face value?b. What is the internal rate of return of your investment?arrow_forwardSuppose you buy a bond with 3 years to maturity. The face value is 1000 and the coupon rate is 12 %. Assume after holding the bond for one year the market interest rate falls to 8 % a. What will be the new price of your bond? b. What will be the annual rate of return on your bond? c. Discuss the interest rate risk on bonds using your results in parts (a) and (b)?arrow_forward
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