On January 1 of this year, Shannon Company completed the following transactions (assume a 8% annual interest rate): a. Bought a delivery truck and agreed to pay $61,400 at the end of three years.
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.
c. Established a savings account by depositing a single amount that will increase to $92,800 at the end of seven years.
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.

Required:
a. What is the cost of the truck that should be recorded at the time of purchase? (Round your answer to nearest whole dollar.)
b. Which option for the office building results in the lowest present value?
c. What single amount must be deposited in this account on January 1 of this year? (Round your answer to nearest whole dollar.)
d. What single sum must be deposited in the bank on January 1 of this year?

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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