* The 1-year spot rate is 8%p.a. effective. The term structure of 1-year effective forward rates is as follows: at time t = 1 the rate is 7%, at time t = 2 the rate is 6%, at time t = 3 the rate is 5%. (a) Determine the term structure of spot rates. (b) A fixed income security pays £10 annual coupons and it is redeemed after 4 years for £100. Compute its price at time t = 0.

* The 1-year spot rate is 8%p.a. effective. The term structure of 1-year effective forward rates is as follows: at time t = 1 the rate is 7%, at time t = 2 the rate is 6%, at time t = 3 the rate is 5%. (a) Determine the term structure of spot rates. (b) A fixed income security pays £10 annual coupons and it is redeemed after 4 years for £100. Compute its price at time t = 0.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Investment X offers to pay you $5,800 per year for eight years, whereas Investment Y offers to pay you $7,900 per year for five years. Use Appendix D. (Round "PV Factor" to 3 decimal places. Round the final answers to 2 decimal places.) Calculate the present value for Investment X and Y If the discount rate is 5%. Investment X Investment Y Present value Investment X Investment Y 14 Calculate the present value for Investment X and Y If the discount rate is 15%. Present value M PA
Consider a five-year annuity, with an annual cash flow of $2,500 and a 2.5% rate of discount/yield. If the maturity is raised to six years, all else the same, its price: decreases increases does not change
4. Let R be the one-year LIBOR rate with annual compounding that will be determined in 6 years from now. Assume the forward interest rate volatility for the corresponding period is 20% per year. The risk-free rates with annual compounding are currently 5% for all maturities. a. Calculate the price of a financial derivative that pays 1000R € in 6 years from now. b. Calculate the price of a financial derivative that pays 1000R € in 7 years from now.
The 1-year spot rate is 8%p.a. effective. The term structure of 1-year effective forwardratesisasfollows: attimet=1therateis7%,attimet=2therate is 6%, at time t = 3 the rate is 5%. (a) Determine the term structure of spot rates. (b) A fixed income security pays £10 annual coupons and it is redeemed after 4 years for £100. Compute its price at time t = 0.
Current interest rates are i$ = 4%;i€ = 6%. Expected interest rates next year are: i$ = 7%;i € = 3%. The expected spot rate in two years is S2($/€) = 1. Use the asset market approach to compute the current spot rate S0($/€). Please type in the number without the currency signs. For example, if your answer is $1.25/€, then type in 1.25 as your final answer. Please keep at least three decimal places (up to 5 decimal places)
a) What is the PV of receiving 2,000/year starting in 3 years going for 17 years if the discount rate is 11 % ?
D. At a certain interest rate the present values of the following two payment patterns are equal: (i) P 200,000 at the end of 5 years plus P 500,000 at the end of 10 years; (ii) P 400,940 at the end of 5 years. At the same interest rate P100,000 invested now plus P 120,000 invested at the end of 5 years will accumulate to X at the end of 10 years. Calculate X.
Suppose you want to detemine the forward rates for your client, a lender who is considering a Forward Rate Ageement (FRA). You have collected and organized the data for the risk-free zero interest rates with continuous compounding in the following table: Maturity(years) Zero Rate (% per annum) 1 2 3 4 2 3 5 6 5 What is the forward rate for the fourth year? (sample answer: 2.50%) Blank 1 What is the forward rate for the fifth year? (sample answer: 2.50%) Blank 2 7
1)An asset promises to pay $60 in each of the next three years. Assume the rate of discount is 5% for each of the years. a) Calculate its price the “long” way b) Calculate its price using the annuity formula. 2) For the annuity in #1, what happens to it price if the rate of discount increase to 6%? 3) For the annuity in #2 what happens to it price if: a) its maturity is raised to four years? b) it never matures (a “perpetuity”)?

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