Another curious and not so ordinary annuity problem

jonah

Junior Member
Joined
May 15, 2008
Messages
52
Another curious and not so ordinary (but methinks unlikely - or is it?) annuity problem for bored problem solver junkies that partly addresses Subhotosh Khan’s conjecture.

6.108 Jeanne has won a lottery that pays $1000 per month in the first year, $1100 per month in the second year, $1200 per month in the third year, etc. Payments are made at the end of each month for 10 years. Using the annual effective rate of 3%, calculate the present value of this prize. Ans. $147,928.85 (Stolen from a GoogleBooks preview of Schaum’s Outlines in Mathematics of Finance by P. Zima and R. Brown - I may have to buy this book one of these days just for these curious problems.)
 
How long will we be playing this game? :|

Sorry, Dennis. You seem to have used 3% Nominal, not 3% Effective.

Monthly v = 1/(1+0.03/12) ==> 147608.4476 <== Using 3.0415957% Effective - Too Much!

Monthly v = (1/1.03)^(1/12) ==> 147928.8511

I would not buy the book just for curiosity. They do seem to be good problems for paying attention to detail. Still, they are quite ordinary annuities, so far.
 
Ahhh...thanks TK...didn't notice the famous "effective"; so 2.959523712....% cpd monthly...

Regardless, that one s'quite a bit like your last one, jonah.
 
Top