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- a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.Assume a bond with a remaining maturity of 3 yearsa. If the face value is $10,000 and coupon payments are $500 per year. What would the price of this bond be if the yield to maturity is 6%?b. Given your answer in (a), is the coupon rate greater, equal, or less than the yield to maturity? Why?Suppose an ordinary bond has a coupon rate of 10 percent, the yield to maturity is quotedat 12 percent. This is semiannual coupon, the bond matures in ten years. Calculate thebond’s price. Calculate the effective annual yield on this bond.
- An investment makes payments at the end of each year into perpetuity. Assume that the payments increasing by 2% each year. Using an annual effective interest rate of 5%, calculate the Macaulay duration of this investment in years. Possible Answers A 27 B 35 c 44 D 52 E 58Please expalin the right answer A 10-year, annual payment corporate coupon bond has an expected return of 11 percent and a required return of 10 percent. The bond's market price is: A) greater than its present value. B) less than par. C) less than its expected rate or return. D) less than its present value. E) $1,000.00.bond valuation An investor has two nonds in her portfolio, bond C and bond Z. each bond maturres in 4 years has a face value of 1000, and has a yield to maturity of 9.6% bond C pays a 10% annual coupon, while bond Z is a zeo coupon bond . b- assuming that the yield to maturity of each bond remains at9.6% over the next 4 years, calculate the price of the bonds at each of the following years to maturity year 4,3,2,1,0 b- plot the time path of price for each bond
- The present value of a series of $5 at the end of every 5 years, forever, is equal to $20. i. Calculate the effective rate of interest. ii. What is the accumulated value of $9400 invested for 10 years after a 6% discount is paid at the beginning of the investment period? Please i need answer for only subpart iiAstrid makes an investment with a zero net present value. She pays $900 today, and receives $400 one year from today, $350 two years from today, and three years from today. There are no other cash flows, and her effective annual interest rate is 12%. Select one: a. $390 b. $420 c. $410 d. $350 e. $370What is the process of Calculating the Return on Invested Capitalfor Mixed Investments?
- 5 Question Let Ya,n be the present value of an n-year term continuous annuity of $1 per year for an insured aged x. Let Y be the present value of a whole life continuous annuity of $1 per year for an insured aged x. Given a constant force of interest, 8, show that: 1 бп Cov (Yz,n, Yz) = (A — e¯ðª‚„Ez (1 − Āz+n) — ±‚ñ¦Ã‚) 82 n. - -Suppose the following: Bond A Bond B Face Value $100 $100 Price 98 105 Coupon Rate 7% 12% Which bond will offer a higher rate of return?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?