Lottery A pays $1,000 today and Lottery B pays $1,750 at the end of five years from now. If the discount rate is 5%, I should choose
Lottery A, because it is available to me now. |
Lottery A, because its future value is $1,276. |
Lottery B, because its present value is $1,371 which is more than that of Lottery A. |
Lottery B, because it pays $1,750 which is more than $1,000 from Lottery A. |
Either option gives the same value over time. |
The question is solved by comparing the presewnt values of both the options.
The present value of lottery B is calculated first to solve the question.
Information provided:
Future value= $1,750
Time= 5 years
Yield to maturity= 5%
Enter the below in a financial calculator to compute the present value:
FV= 1,750
I/Y= 5
N= 5
Press the CPT key and PV to compute the present value.
The value obtained is 1,371.17.
Therefore, the present value of lottery B is $1,371.17.
Hence, I should choose lottery B since its present value is higher than lottery A.
The answer is option c.
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