For this question, assume that the interest rate is greater than 0. Given this information and the information about the payments provided below, rank the following three sequences of payments according to their present value: "X" "Y" " 2005 $190 $200 $210 2006 S200 $200 $200 2007 $210 $200 $190 O A. Y>X>Z O B.Z>Y>X ocZ>X>Y O D.X>Y>Z X>Z>Y
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- 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.What is the present value of $1.21 received at the end of two years if the interest rate is 10% and compounding is annual? a- 1.31 b- 1.21 c- 1.10 d- 1.00 Which of the following is a leading economic indicator? a- average prime interest rate charged by banks b- stock prices, 500 common stocks c- commercial and industrial loans outstanding d- industrial production
- 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 = $1,128An 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)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. %
- ▼ Cash Flow Present Discounted Value Interest Rate 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 $3000 is to be paid out a year from today with the interest rate equal to 3% is $enter your response here. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $enter your response here. (Round your response to the neareast two decimal place)Use the definition of the effective rates of interest and discount. j=[Amount at s+t - Amount at s] / [Amt at s]. d_j=[Amount at s+t - Amount at s] / [Amt at s+t]. For 8 items c & d, if j (d_j) is nominal then effective interest (resp. discount) every mth of a period is j^(m)/m (resp. d^(m)/m).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.
- 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 600Find the spot rate for a theoretical 2 year zero coupon bond using the following information: 6 month T-bill rate = .5% 1 year T-Bill rate = .75% 1.5-year T-Note rate = 1.10% 2-year T-Note rate = 1.65%You are going to earn ωt = $200,000 when working (age 21 and 60), and thenyou are going to live for the next 20 years with ωt = $0. Find the constant level ofconsumption C during years (21-80) that can be financed by your income (Interestrate is 5%). Find the level of savings St = ωt −C for periods t ≤60 and for t > 60