Question

In: Accounting

On January 1 of this year, Shannon Company completed the following transactions (assume a 8% annual...

On January 1 of this year, Shannon Company completed the following transactions (assume a 8% annual interest rate): (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.)

  1. Bought a delivery truck and agreed to pay $61,400 at the end of three years.
  2. 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.
  3. Established a savings account by depositing a single amount that will increase to $92,800 at the end of seven years.
  4. 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).

Solutions

Expert Solution

1. Cost of the Truck is the Present Value of $61,400
Rate = 8%
Term 3 year
Present Value of $1 = (1/(1+8%)^3) = 0.79383
Present Value of 61,600 = 61,400*0.79383= $48741 (rounded off)
2. Now whether to pay in one installment or pay upfront will depend on the PV of Outflow under both option
Present Value of Outflow in case of upfront payment = $30000
Present Value of Outflow in case of installment payment = 11,400 * PVA of 1$
PVA of 1$ = 2.577097
PVA of 11,400 = 11,400*2.577097 = $29,379
Since Present Value of Installment payment is lower than upfront payment, hence payment in installment
3. Amount to be invested today to get $92,800 at the end of 7 years = Present Value of 92800
PV of 1$ with 7 year term = 0.58349
Present Value for 92,800 = 92800*0.58349 = $54148
4. Single sum which must be deposited today to get 41,400 for 8 year is calculated as below
Present Value of Annuity of 1$ for 8 Year @ 8% = 5.746639
Present Value of Annuity of $41,400 = 41,400*5.746639 = $237911

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