3. Present Value of Annuity and Perpetuity - Show your steps! (You must simplify your answer use the formula for Geometric series.) 1+i A bond with a face value of y pays out interest at rate r annually. The discount rate you should use for the bond is i. (That is, the present value of $1 received a year from now is $11; and the present value of 1 dollar received 2 years from now is $ (1+1)².) What is the present value of owning the bond that pays its first interest a year from now if (a) The bond pays interest for n years and pays back the face value at the last year. (b) The bond pays interest forever and never pays back the face value.

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 8MC: Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future...
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3. Present Value of Annuity and Perpetuity - Show your steps!
(You must simplify your answer use the formula for Geometric series.)
1
A bond with a face value of y pays out interest at rate r annually. The discount rate you
should use for the bond is i. (That is, the present value of $1 received a year from now
is $11, and the present value of 1 dollar received 2 years from now is $- .) What is the
present value of owning the bond that pays its first interest a year from now if
(a) The bond pays interest for n years and pays back the face value at the last year.
(b) The bond pays interest forever and never pays back the face value.
(1+i)²
Transcribed Image Text:3. Present Value of Annuity and Perpetuity - Show your steps! (You must simplify your answer use the formula for Geometric series.) 1 A bond with a face value of y pays out interest at rate r annually. The discount rate you should use for the bond is i. (That is, the present value of $1 received a year from now is $11, and the present value of 1 dollar received 2 years from now is $- .) What is the present value of owning the bond that pays its first interest a year from now if (a) The bond pays interest for n years and pays back the face value at the last year. (b) The bond pays interest forever and never pays back the face value. (1+i)²
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