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 And Managerial Accounting
15th Edition
ISBN:9781337902663
Author:WARREN, Carl S.
Publisher:WARREN, Carl S.
Chapter11: Liabilities: Bonds Payable
Section: Chapter Questions
Problem 11E
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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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