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Lowlife Company defaulted on a $120,000 loan that was due on December 31, 2021

Accounting Apr 01, 2021

Lowlife Company defaulted on a $120,000 loan that was due on December 31, 2021. The bank has agreed to allow Lowlife to repay the $120,000 by making a series of equal annual payments beginning on December 31, 2022. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

 

Required:

 

1. Calculate the required annual payment if the bank's interest rate is 10% and four payments are to be made.

2. Calculate the required annual payment if the bank's interest rate is 8% and five payments are to be made.

3. If the bank's interest rate is 10%, how many annual payments of $37,856 would be required to repay the debt?

4. If three payments of $48,254 are to be made, what interest rate is the bank charging Lowlife?

Expert Solution

1. Computation of Amount of Annual payment:
Annual payment = $120,000 / PVAF @10%, for 4 year
 = $120,000 / 3.1699
Annual payment = $37,856.08
 
2. Computation of Amount of Annual payment:
Annual payment = $120,000 / PVAF @ 8% for 5 Year
 = $120,000 / 3.9927
Annual Payment = $30,054.85
 
3. Computation of No. of Annual Payment Made:
$120,000 = $37,856 * PVA of $1 (10%, n)
PVA of $1 (10%, n) = $120,000/$37,856 
PVA of $1 (10%, n) = 3.1699
As per Present Value Table , n = 4
Hence, No. of Annual payment wil be 4.
 
 
4. Computation of Interest Rate:
$120,000 = $48,254 * PVA of $1 (i%, 3)
PVA of $1 (i%, 3) = $120,000/$48,254
PVA of $1 (i%, 3) = 2.4868
As per Present Value Table , i = 10%
 
Hence, Interest Rate Charged will be 10%
 
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