can you please help me with this problem If you start making $165 monthly contri
ID: 2706645 • Letter: C
Question
can you please help me with this problem
If you start making $165 monthly contributions today and continue them for four years, what is their future value if the compounding rate is 11.00 percent APR? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
What is the present value of this annuity? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
If you start making $165 monthly contributions today and continue them for four years, what is their future value if the compounding rate is 11.00 percent APR? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Explanation / Answer
FUTURE VALUE = P * {(1+i)^n-1}/i
=165*((1+11%/12)^(4*12)-1)/(11%/12)
=165*((1+0.009166667)^48-1)/(0.009166667)
=165*((1.009166667)^48-1)/(0.009166667)
=165*((1.5496-1)/(0.009166667)
=165*0.5496/(0.009166667)
=90.684/0.009166667
=9893
PRESENT VALUE OF THIS ANNUITY = 9893/(1.11^4)
=6517
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