* 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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Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132
b) suppose that the market interest rate is 5%. Calculate the present value of the following. Show how your answer is obtained. Calculation using a formula, not using excel. i) A fixed payment loan with annual payments of $163 that matures in three years.
1.An investment that has a maturity value of $3,400 and is discounted 5 years and 6 months before maturity at 4.80% compounded semi-annually. a. Calculate the discounted value of the investment. $0.00 Round to the nearest cent b. Calculate the amount by which the money is discounted.
Assume that you are preparing an amortization table for a three-year note with a stated and yield rate of 10% and 12%, respectively. Interest is payable every yearend. Which of the choices would be true? a. C4 - D4 = B4 b. E1 - D2 = E2 c. E3 + D3 = E4 d. B5 - D5 = C5
A 10-year floating rate (annually paid) security selling for 101.32 pays a rate based on a reference rate plus 50 basis points. Assume the current value of the reference rate is 7%. What is the discount margin?
What is the present value of 600 TL which will be invested at the end of each year during the next 12 years? Discount rate is 3%.6.345,96 TL4.632,785.972,4 TL9.623,478.515,2 TL.
An annual percentage rate (APR) is determined by annualizing the rate using compound interest. Select one: True False The more frequent the compounding, the higher the future value, other things equal. Select one: True False Which statement is NOT true? a. Figure A correctly displays the relation between FVs of $1 investment at the interest rates 12.7% and 9.8%. b. Investment of $1 needs more than 7 years to double its value at the rate 9.8%, while only requiring less than 6 yeas to double at 12.7%. c. Figure B correctly displays the relation between PVs of $3 future value at the interest rates 12.7% and 9.8%. d. A discount factor for 5 years at 12.7% is lower than the discount factor for 5 years at 9.8%. After reading the fine print in your credit card agreement, you find that the "low" interest rate is actually an 17.05% APR, or 1.4208% per month. What is the effective annual rate? a. 18.45% b. 19.41% c. 18.82% d. 19.56% A zero-coupon bond is a bond that pay no interest…
Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 6.10% r2 = 6.00% r3 = 5.80% r4 = 5.50% What are the following forward rates? Hint: f1, k refers to a forward rate for the period beginning in one year and extending for k years. fk,1 refers to a forward rate beginning in k years and extending for 1 year. f1,1 : f1,2 : f1,3 : f2,1: f3,1 :
a) What is the present value of the following payment series when the interest rate is 3% YR1 = $200YR2 = $100YR3 = $370YR4 = $370YR5 = $370YR6 = $-300 b) Convert the above payment series to a uniform payment series over 5 years, starting at year 1. c) Convert the payment series in question 6 to a uniform payment series over 3 years starting at year 3.
Use the following spot rates to answer the following questions. Maturity Spot rate (%) 1 year 4.93% 2-years 4.47% 3-years 4.12% 5-years 3.84% 10-years 3.68% Assume that Citibank is offering to sell a one-year Treasury bill next year with a rate of 5% (i.e., you can enter into a contract today to lock in a 5% return on a one-year security purchased/sold next year). Based on the above spot rates, does the Citibank offer generate any arbitrage opportunities? If so, compute the total $ profits that can be generated from this opportunity, specifying the steps you would take. Assume you will borrow/invest $1,000. O Yes: profit of $5.55/ $1000 borrowed. O No: $0 O No: Loss of $5.55/ $1000 borrowed.based on Citibank's offered rate. O Yes: $55.55/$1000 borrowed.
ou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +
For each of the following cases, indicate (a) to what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Case A Case B Case A Case B Case A Case B Case A Annual Rate Case B 5% 8% Annual Rate (2) In Table 2 (future value of an annuity of 1): 6% (a) 4% Number of Years Invested (a) 3 6 % 11 % Number of Years Invested 7 % Compounded Annually Semiannually (b) Compounded Annually Semiannually (b) periods periods periods periods

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