4. A man purchase government bonds at P750 each which mature in 10 years and have a face value of P1000 at the end of 10 years. Determine the average nominal interest rate earned by the purchase price of P750 assuming nominal compounding.
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- d)Assume that all the information given previously is the same and the defaultrisk premium for corporate bonds rated AAA is 1.5 percent, whereas it is4 percent for corporate bonds rated B. Compute the interest rates onAAA- and B-rated corporate bonds with maturities equal to one year, twoyears, three years, four years, five years, 10 years, 20 years, and 30 years.What is the discount yield, bond equivalent yield, and effective annual return on a $7 million commercial paper issue that currently sells at 98.75 percent of its face value and is 122 days from maturity? (Use 360 days for discount yield and 365 days in a year for bond equivalent yield and effective annual return. Do not round intermediate calculations. Round your percentage answers to 3 decimal places. (e.g., 32.161))What's the taxable equivalent yield on a municipal bond with a yield to maturity of 3.5 percent for an investor in the 33 percent marginal tax bracket? (Round your answer to 2 decimal places.)
- A corporate bond maturing in 15 years with a coupon rate of 10.9 percent was purchased for $970 and it now selling for $1,000. 1. What will be its selling price in two years if comparable market interest rates drop 4.9 percentage points? (Hint: Use Appendix A-2 and Appendix A-4 or the Garman/Forgue companion website.) Round Present Value of a Single Amount and Present Value of Series of Equal Amounts in intermediate calculations to four decimal places. Round your answer to the nearest cent. $ 2. Calculate the bond's YTM using Equation 14.5 or the Garman/Forgue companion website. Round your answer to two decimal places. %8. Question 1 Fatu took out an endowment policy. The first annual payment was Rx, whereafter it increased yearly by R1 700. After 20 years the policy paid out R1 005 962. The applicable yearly interest rate is 10%. The value of x is approximately A. R11 816. B.R17 564. C.R6 500. D.R564. Question 2 Daniel asks to reschedule the compensation in three payments,the first payment now ,the second payment twice the size of the first payment for four years from now and the third payment three times the size of the first payment nine years from now.The boxing fund agrees on condition that the interest rate changes to 10.95% per year compounded monthly .The amount to the nearest hundred rand that Daniel can expect to receive four years from now is A R 864 000 B.R 557510 C.184 800 D.369 600An insurer needs to make the following annuity payments to an individual: £2176 paid at the end of each year for the first 15 years and then £2177 paid at the end of each year for the following 12 years. Calculate the total amount of fund the insurer needs to hold today in order to meet these payments, given that the effective rate of interest is: 5.8% pa for the first 7 years and then 6.2% pa thereafter. Express your answer in £s to 2 decimal places. (correct answer = 28787.58)
- Which of the following investment options willmaximize your future wealth at the end of 18 years?Assume any funds that remain invested will earn anominal rate of 12% compounded monthly.(a) Deposit $8,000 now.(b) Deposit $120 at the end of each month for thefirst 12 years.(c) Deposit $105 at the end of each month for 18years.(d) Deposit a lump sum in the amount of $35,000 atthe end of year 12.Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. (b) Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram.Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram. (b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram (d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.
- Suppose you purchased a corporate bond with a 10-year maturity, a $1,000 par value, a 9% coupon rate ($45 interest payment every six months), and semiannual interest payments. Five years after the bonds were purchased, the going rate of interest on new bonds fell to 6% (or 6% compounded semiannually). What is the current market value (P) of the bond (five years after the purchase)?(a) P = $890(b) p = $1,223(c) P = $1,090(d) p = $1,128Consider price quotes and characteristics for two different bonds:Bond A Bond BCoupon Payment Annual AnnualMaturity 3 years 3 yearsCoupon Rate 10% 6%Yield to Maturity 10.65% 10.75%Price 98.40 88.34At the same time, you observe the spot rates for the next three years:Term Spot (Zero-Coupon) Rates1 year 5%2 years 8%3 years 11%Demonstrate whether the price for either of these bonds is consistent with the quotedspot rates. Under these conditions, recommend whether Bond A or Bond B appears tobe the better purchase.A corporate bond returns 12 percent of its cost (in present value terms) in the first year, 11 percent in the second year, 10 percent in the third year, and the remainder in the fourth year. What is the bond's duration in years? Please show all the steps including the equation.