Asked by Marianna Scaringella on Jul 07, 2024
Verified
If the interest rate is r and will remain r forever, then a bond that will pay 95 dollars a year forever, starting one year from now, is worth how much today?
A) 95/(1 r) dollars.
B) 95(1 r) dollars.
C) 95/r dollars.
D) 95/(1 r r2 ... rn ...) dollars.
E) None of the above.
Interest Rate
The cost, shown as a percentage of the principal amount, that a lender requires from a borrower to use resources.
Bond
A financial instrument representing a loan made by an investor to a borrower, typically corporate or governmental, which pays back with interest.
- Examine the influence of interest rates on the appraisal of bonds and perpetual securities.
- Investigate potential investments in perpetuities and annuities.
Verified Answer
SC
Shelbi ChambersJul 10, 2024
Final Answer :
C
Explanation :
The value of a perpetuity, which is a bond that pays a fixed amount forever, is calculated as the payment divided by the interest rate. Therefore, a bond that pays $95 a year forever, at an interest rate of r, is worth $95/r today.
Learning Objectives
- Examine the influence of interest rates on the appraisal of bonds and perpetual securities.
- Investigate potential investments in perpetuities and annuities.
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