# A few days ago, Mr. A has purchased a lottery. Fortunately, he has received a letter from the lotter

A few days ago, Mr. A has purchased a lottery. Fortunately, he has received a letter from the lottery officials that he has won that lottery. Additionally, it has been mentioned in the letter that he has to choose between one of the two given alternatives as his Prize money:

A: Rs. 4,000 every year for next 10 years or;

B: Rs. 54,000 after 10 years.

His opportunity cost is 11%.

required:

Find the value of each alternative.

Which alternative is acceptable for Mr. A and why?
Asked Apr 11, 2011
Edited Apr 11, 2011

Article on the economics concept of opportunity cost:

http://en.wikipedia.org/wiki/Opportunity_cost
Answered Apr 11, 2011
Edited Apr 11, 2011
Option A
=4000/1.11+4000/(1.11^2)+4000/(1.11^3)+4000/(1.11^4)+4000/(1.11^5)+4000/(1.11^6)+4000/(1.11^7)+4000/(1.11^8)+4000/(1.11^9)+4000/(1.11^10)
= 23556.93

Option B
= 54000/(1.1^10)
= 20819.34

Option A is Acceptable as it has high Present Value
Answered Apr 14, 2011

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