TVM Problem solving the end amount.

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SUMMARY

The discussion addresses the use of a Time Value of Money (TVM) solver to calculate equal monthly payments from an annuity of $100,000 at an annual interest rate of 6.5%, compounded monthly, over a period of 10 years. The user initially misconfigured the TVM solver on a TI-83 Plus, leading to an incorrect future value (FV) of $35,265.34 instead of the expected closing balance of $0.24. The correct approach involves setting FV to 0 and solving for the payment (PMT), which the user successfully clarified after comparing results with Excel.

PREREQUISITES
  • Understanding of Time Value of Money (TVM) concepts
  • Familiarity with financial calculators, specifically the TI-83 Plus
  • Proficiency in spreadsheet software like Microsoft Excel
  • Knowledge of annuity calculations and payment structures
NEXT STEPS
  • Learn how to configure the TVM solver on the TI-83 Plus for accurate calculations
  • Explore advanced Excel functions for financial modeling
  • Study the implications of compounding frequency on annuity payments
  • Investigate different types of annuities and their payment structures
USEFUL FOR

Finance students, financial analysts, and anyone involved in calculating annuity payments or using TVM solvers for financial planning.

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[SOLVED] TVM Problem solving the end amount.

Homework Statement



2. A spreadsheet software or TVM solver on a calculator can be used to determine the equal monthly payments that can be paid from an annuity for a set length of time. You can enter different payments until you find the one that gives a closing balance of less than $1 after the set length of time. What monthly payment can be paid from an annuity of $100 000 earning 6.5% per annum, compounded monthly, with a life of 10 years?

Homework Equations



TVM Solver:

N = (Number of payment periods)
I% = (Annual Interest rate)
PV = (Present value)
PMT = (Payment, must be -number)
FV = (Future value)
P/Y = (Payment periods per year)
C/Y = (Compounding periods per year)

The Attempt at a Solution



I did this question in Excel and got under $1, however I'm trying to send this answer with work from Excel done and TVM so I understand both ways to do this question. I'll show my excel file in an attachment.

In the TVM solver I'm using on my TI-83 Plus I cannot seem to get the same results.

N = 120.00
I% = 6.50
PV = 100000.00
PMT = -1344.89
FV = (To be solved)
P/Y = 12.00
C/Y = 12.00

When solved, FV = 35265.34 (Which is wrong.)

In my excel file, the answer should be $0.24 after the 10 years (120 months).
 

Attachments

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The problem has been solved. I mis-understood the question when doing the TVM Solver.

I was supposed to put 0 for FV, not what I got from my Excel answer, then use the solve for PMT.
 

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