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3 years ago

On January 1 of this year, Shannon Company completed the following transactions (assume a 8% annual interest rate):

Business

1 answer:

inessss [21]3 years ago

4 0

Answer:

a. The cost of the truck that should be recorded at the time of purchase is:

= $48,741.

b. The option of paying $11,400 annually for 3 years results in a PV of $29,379, which is lower than $30,000 paid immediately.

c. The single amount that must be deposited in this account on January 1 of this year is:

= $54,148.

d. The single sum that must be deposited in the bank on January 1 of this year to provide 8 equal annual year-end payments of $41,400 to a retired employee is:

= $237,910.85

Explanation:

a) Data and Calculations:

a. Bought a delivery truck and agreed to pay $61,400 at the end of three years.

From an online financial calculator:

(# of periods) 3

I/Y (Interest per year) 8

PMT (Periodic Payment) 0

FV (Future Value) $61400

Results

PV = $48,741.30

Total Interest $12,658.70

b. Rented an office building and was given the option of paying $11,400 at the end of each of the next three years or paying $30,000 immediately.

From an online financial calculator:

N (# of periods) 3

I/Y (Interest per year) 8

PMT (Periodic Payment) $11,400

FV (Future Value) 0

Results

PV = $29,378.91

Sum of all periodic payments $34,200.00

Total Interest $4,821.09

c. Established a savings account by depositing a single amount that will increase to $92,800 at the end of seven years.

From an online financial calculator:

N (# of periods) 7

I/Y (Interest per year) 8

PMT (Periodic Payment) 0

FV (Future Value) $92,800

Results

PV = $54,147.91

Total Interest $38,652.09

d. Decided to deposit a single sum in the bank that will provide 8 equal annual year-end payments of $41,400 to a retired employee (payments starting December 31 of this year.

From an online financial calculator:

N (# of periods) 8

I/Y (Interest per year) 8

PMT (Periodic Payment) $41,400

FV (Future Value) 0

Results

PV = $237,910.85

Sum of all periodic payments $331,200.00

Total Interest $93,289.15

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