Solve Annuities Questions: BA II Plus Calculator

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SUMMARY

This discussion focuses on solving annuity questions using the BA II Plus calculator. The first scenario involves purchasing a $32,500 ring with a 30% down payment and financing the remainder over 3 years at an interest rate of j2=8.2%. The correct calculations require N=36 months, I/Y=8.2%, P/Y=12, C/Y=1, PV=$22,750, and FV=0. The second scenario compares two leasing offers for a crusher, requiring the calculation of present values using a 22% effective interest rate. The correct approach involves determining the present value for both offers to identify the more financially advantageous option.

PREREQUISITES
  • Understanding of annuities and present value calculations
  • Familiarity with the BA II Plus calculator functions
  • Knowledge of interest rates and payment structures
  • Basic financial mathematics, including down payments and financing
NEXT STEPS
  • Learn how to calculate PMT using the BA II Plus calculator
  • Study present value calculations for different payment frequencies
  • Explore the concept of ordinary annuities versus annuities due
  • Review financial decision-making principles for leasing versus purchasing
USEFUL FOR

Finance students, accountants, and professionals involved in financial analysis or decision-making regarding loans and leases will benefit from this discussion.

Aleckand9
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Hi, I'm currently stuck on two questions and don't quite understand how I would solve them. We're using BA II Plus calculators.

The first question is

You purchase a 32,500 dollar ring by making a 30% down payment and financing the rest with monthly payments, at the end of the month over 3 years at an interest rate of j2=8.2%. Calculate the size of the monthly payments and the cost of financing. So, I would need to calculate PMT.

I wrote N=3*2=6, I/Y=8.2, P/Y=12, C/Y=2, PV=30% of 32500=9750, FV=32500.
However when I calculate PMT, I don't get the correct answer. Not sure which part I'm getting wrong and how would I calculate the cost of financing?

The second question is

You lease equipment to other companies. You have an older crusher for metals available, and two offers to lease it from you. Offer A is to lease the machine for 8 years and pay 7,500 dollars per month, starting immediately. The second offer, Offer B. is to lease the machine for 3 years and pay 5,500 dollars per half-year, starting immediately.
The second offer is for a heavier use project, and both offers will "use up" the crusher, and you expect the crusher will be worthless after either offer is over.

In this case, you decide to evaluate offers by comparing the present value of the payments (at the beginning of the lease). Calculate the present value of the offers and choose the best one. Your accountants tell you to evaluate the payments using their standard rate of 22% effective. Find the present value for each option.

For this question, I wrote:
A) N=8*1=8, I/Y=22%, P/Y=12, C/Y=1, PMT=7500, FV=0, to find the PV. I did the same for B) with the numbers changed but still didn't get either answers correct. Again, not sure if I'm missing a step or if I have to do something beforehand.
 
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Aleckand9 said:
Hi, I'm currently stuck on two questions and don't quite understand how I would solve them. We're using BA II Plus calculators.

The first question is

You purchase a 32,500 dollar ring by making a 30% down payment and financing the rest with monthly payments, at the end of the month over 3 years at an interest rate of j2=8.2%. Calculate the size of the monthly payments and the cost of financing. So, I would need to calculate PMT.

I wrote N=3*2=6, I/Y=8.2, P/Y=12, C/Y=2, PV=30% of 32500=9750, FV=32500.
However when I calculate PMT, I don't get the correct answer. Not sure which part I'm getting wrong and how would I calculate the cost of financing?

Surely if the payments are monthly over 3 years then N = 3*12 = 36.

Also the PV is not 30% of 32 500, it's 70% of 32 500 = 22 750, and the FV is 0 because you want it paid off.
 
Prove It said:
Surely if the payments are monthly over 3 years then N = 3*12 = 36.

Also the PV is not 30% of 32 500, it's 70% of 32 500 = 22 750, and the FV is 0 because you want it paid off.
Ah, alright. Thanks, just another question but how would I determine when the problem is END or BGN? I'm a bit confused about this concept.
 

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