Question

Star Studios is looking to purchase a new building for its upcoming film productions. The company finds a suitable location that has a list price of $1,460,000. The seller gives Star Studios the following purchase options: (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.)

Pay $1,460,000 immediately.
Pay $460,000 immediately and then pay $136,000 each year over the next 10 years, with the first payment due in one year.
Make 10 annual installments of $180,000, with the first payment due in one year.
Make a single payment of $2,160,000 at the end of five years.

Determine the present value for each option assuming that the company can borrow funds to finance the purchase at 6%.

Answer 1

Star Studios is evaluating different payment options for a building purchase using a discount rate of 6%. Each option's present value is calculated using relevant present value formulas. The company will then compare these present values to determine the most cost-effective payment option.

Step-by-step explanation:

To determine the present value (PV) for each purchase option provided to Star Studios by the seller, we need to use the present value formulas and apply the discount rate of 6%. We'll handle each option separately.

Option 1: Immediate payment of $1,460,000. The present value is simply the payment amount, as it is already in today's dollars, which is $1,460,000.

Option 2: Immediate payment of $460,000 and $136,000 annually for 10 years. We use the present value of an annuity formula to calculate the present value of the ten annual payments and add the immediate payment of $460,000 to this result to find the total present value.

Option 3: Ten annual installments of $180,000. The present value of an annuity formula is also used here to find the present value of the series of equal payments.

Option 4: A single future payment of $2,160,000 at the end of five years. We apply the present value of a single sum formula to discount the future payment back to the present value.

To compare the options fairly, Star Studios must calculate and then compare each option's present value to determine which is the most cost-effective choice, given their borrowing rate of 6%.

Answer 2

Present value for option 1 = $1,460,000

Present value for option 2 = $1,460,971.84

Present value for option 3 = = $1,324,815.67

Present value for option 4 = $1,614,077.65

Step-by-step explanation:

Present value is the sum of discounted cash flows.

Present value can be calculated using a financial calculator.

For the first option, the present value is $1,460,000.

For the second option:

Cash flow in year zero = $460,000

Cash flow each year from year one to ten =

$136,000

I = 6%

Present value = $1,460,971.84

For the third option:

Cash flow each year from year 1 to 10 = $180,000

I = 6%

Present value = $1,324,815.67

For the fourth option:

Cash flow each year from year 1 to 4 = 0

Cash flow in year 5 = $2,160,000

I = 6%

Present value = $1,614,077.65

To find the PV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you