1- The six-month and one-year zero rates are both 10% per annum. For a bond that has a life of 18 months and pays a coupon of 8% per annum (with semiannual payments and one having just been made), the yield is 10.4% per annum. What is the bond's price? What is the 18-month zero rate? All rates are quoted with semiannual compounding.
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- Suppose that a 2-year zero-coupon bond with face value $1,000 currently sells at $840, while a 1-year zero-coupon bond with face value $1,000 currently sells at $920. You are considering the purchase of a 2-year coupon bond that pays coupon annually. The face value of this coupon bond is $1,000 and coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero-coupon bonds? b. What is the current price of the 2-year coupon bond? c. What is the forward rate of the second year? d. If the expectation hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Showing your working out, compute the price of all four bonds: Face Value Maturity (years) Yield Frequency of yield Coupon rate Frequency of coupon Bond 1 £1000 3 3% semi-annual 8% semi-annual Bond 2 £1000 4 3% quarterly 4% semi-annual Bond 3 £100 2 2% monthly 3% quarterly Bond 4 £100 5 3% monthly 4% semi-annual6. Ms. Jones wants to make 10% nominal interest compounded quarterly on a bond investment. She has an opportunity to purchase 8%, $10,000 bond that will mature in 14 years and pays quarterly interest. This means that she will receive quarterly entert payments on the lace value the bond 10.000$ at %8 nominal interest . After 14 years she will receive the face value of the bond. How much should she be willing to pay for the bond today? Ms. Jones should be willing to pay $ for the bond today (Round to the nearest dollar)
- Suppose you purchased a corporate bond with a 10-year maturity. a $1,000par value, a 10% coupon rate, and semiannual interest payments. What all this means that you receive $50 interest payment at the end of each six-month period for 10 years (20 times). Then, when the bond matures, you will receive the principal amount (the face value) in a lump sum. Three years after the bonds were purchased, the going rate of interest (coupon rate) on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (3 years after the purchase)?2. An investor has a principal amount of $P. If he Interest Rate per Year desires a payout (return) of 0.1P each year, how many years will it take to deplete an account that earns 8% 4% 6% 8% 10% Payout per Year 10% (% of principal) 20% 30% 20.9 per year? 0.1P = P(A/P, 8%, N), so N ~= 21 years. A payout duration table can be constructed for select payout percentages and compound interest rates. Complete the following table. (Note: table entries are years.) Summarize your conclusions about the pattern observed in the table. (5.5)economics A debt of P100,000 is to be discharged by six (6) semi-annual payments, the first to be made 18 months after the loan is given. The debt will be discharged by 3 equal payments each of P20,000 and by 3 other equal payments of such amount that the final payment will liquidate the debt. a.] If interest is 12% compounded semi-annually, what is the amount of the last 3 payments? b.]. If he was unable to pay 4th and 5th amortization, how much is theprincipal at the beginning of the 6th period?
- 1. Mary buys a 20 year annuity immediate for $100,000 subject to 6% effective annual interest rate. The first payment is one year from the time of purchase. Mary reinvests each of the 20 payments, as soon as she received them at the end of each year, into a fund that earns 8% interest on deposits. What is the accumulated amount in Mary's fund right after the 20th annuity payment has been deposited into the fund?QUESTION 1 Muhammad takes out a loan of $ 2,130, at 8% simple interest, for 8 years. How much will he pay back at the end of year 8? QUESTION 2 Calculate the amount of interest on an investment of AED 103,971 at 8% simple interest for 5 years. QUESTION 3 If you deposit today $7,335 in an account for 6 years and at the end accumulate $10,885, how much compound interest rate (rate of return) you earned on this investment ? QUESTION 4 You will deposit 12,025 at 10% simple interest rate for 9 years, and then move the amount you would receive to an investment account at 12 % compound rate for another 3 years. How much money would you have at the end of the entire period ?Student Emergency Financial Services, Inc.,which makes small loans to college students, offersto lend $550. The borrower is required to pay $42 atthe end of each week for 16 weeks. Find the interestrate per week. What is the nominal interest rate peryear? What is the effective interest rate per year?
- Compute the effective annual interest rate in each of these situations: a. 9% nominal interest, compounded semiannually. b. 9% nominal interest compounded quarterly. c. 9% nominal interest compounded weekly.Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7% interest rate, the present value of the loan is $. (Round your response to the neareast two decimal place)Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7%interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)