You purchase a three-month discount security (e.g., a Treasury bill or commercial paper) for $0.9878 on $1 (i.e., $98,780 for $100,000 face amount). What are the discount yield, the simple annual yield, and the annual compound yield earned by the investment?

You purchase a three-month discount security (e.g., a Treasury bill or commercial paper) for $0.9878 on $1 (i.e., $98,780 for $100,000 face amount). What are the discount yield, the simple annual yield, and the annual compound yield earned by the investment?

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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A loan of $4000 at 6% is compounded semiannually for two years. Find the future value and compound interest. Use the compound interest formula. Click here to view page 1 of the future value table. Click here to view page 2 of the future value table The future value of the loan is $ The compound interest is S (Round to the nearest cent as needed.) (Round to the nearest cent as needed.) 00 future value table or the future value and
A bank is offering a special deal. If you invest X now, the bank will give you 15,000 at time 7; 14,000 at time 8; 13,000 at time 9; and so on with the last payment being at time 14. Using an annual effective interest rate of 8%, determine X.
Suppose that you want to take out a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the loan is 1%, determine the nominal interest rate that the bank will charge you. What was the actual real interest rate on the loan if, over the life of the loan, actual inflation is 0.5%?
You are considering investing in a security that will pay you $2,000 in 35 years. a. If the appropriate discount rate is 10 percent, what is the present value of this investment? b. Assume these investments sell for $275 in return for which you receive $2,000 in 35 years. What is the rate of return investors earn on this investment if they buy it for $275?
Suppose that a 10-year T-note is purchased with a face value of $20,000 and a coupon rate of 3.4% (a) What is the total return of this investment? (b) What is the average rate of retum? (a) The total return is $ (Simplity your answer.) (b) The average rate of return is%. (Simplify your answer. Round to two decimal places as needed.)
You want to invest $24,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 6% that is compounded quarterly. What is the effective rate of return that you will earn from this investment?
You are considering investing in a security that will pay you 2,000 in 25 years. If the appropriate discount rate is 9 percent what is the present value of this investment? Assume these investments sell for $1,103 in return for which you receive $2,000 in 25 years. What is the rate of return investors earn on this investment if they buy it for 1, 103 ?
You manage an investment fund that sells annuities. You sell a 6-year ordinary level annuity that makes monthly payments of $2,115 per month, starting next month. If interest rates are 3.46% APR (compounded monthly) what is the current price of this annuity?
Compute the simple interest INT for the specified length of time and the future value FV at the end of that time. Round all answers to the nearest cent. You borrow $78,000 for 10 months at 0.03% per month. X INT = $ FV = $
Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1. PV of $1. FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Payment $ 5,600 10,600 4,600 Annual Rate Interest Compounded Semiannually 9.0% 10.0% Quarterly 11.0% Annually Period Invested 3 years 2 years 5 years Present Value of Annuity
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If P dollars is borrowed at a rate or r per year to be paid back in tyears, the monthly payment (n=12) is given by the formulaA =((r/n)P)/ (1 − (1 + r/n)−nt450, 000.00 is borrowed to buy a house. The annual interest rate is 7.04%. Whatis the monthly payment if the term of this transaction is 30 years.

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