Question

John and Sally Claussen are considering the purchase of a hardware store from John Duggan. The Claussens anticipate that the store will generate cash flows of $70,000 per year for 20 years. At the end of 20 years, they intend to sell the store for an estimated $400,000. The Claussens will finance the investment with a variable rate mortgage. Interest rates will increase twice during the 20-year life of the mortgage. Accordingly, the Claussens’ desired rate of return on this investment varies as follows: (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.)Years 1-5: 7%

Years 6-10: 10%
Years 11-20: 12%
Required: What is the maximum amount the Claussens should pay John Duggan for the hardware store?

Answer 1

Step-by-step explanation:

Calculate maximum that should pay:

Compute present value of cash flows from the store, year 1 to 5 :

Annual cash flows are $70,000

Desired rate of return on investment for 1 to 5 years is 7%

Number of years is 5

Present value of cash flows generated during 1 to 5 years =

= $287,013.82

Compute present value of cash flows from the store for years 6 to 10

Annual cash flows are $70,000

Desired rate of return on investment for 6 to 10 years is 10%

Desired rate of return on investment for 1 to 5 years is 7%

Number of years is 5

Present value of cash flows generated during 6 to 10 years = annual cash flows x PVIFA (10%,5) x PVIF (7%,5)

= $70,000 x 3.79079 x 0.7130 = $189,198.33

Compute present value of cash flows from the store for years 11 o 20

Annual cash flows are $70,000

Desired rate of return on investment for 11 to 20 years is 12%

Desired rate of return on investment for 6 to 10 years is 10%

Desired rate of return on investment for 1 to 5 years is 7%

Number of years is 10

Present value of cash flows generated during 11 to 20 years = [annual cash flows x PVIFA (12%,10)] x PVIF (10%,5) x PVIF (7%,5)

= $70,000 x 5.65022 x 0.62092 x 0.7130 = $175,100.98

Calculate present value of estimated sale amount to be received for sale of store

Present value of estimted sale amount to be received = [Estimated sale amount x PVIF (12%,10)] x PVIF (10%,5) x PVIF (7%,5)

=$400,000 x 0.32197 x 0.62092 x 0.7130=

=$57,016.50

Calculate total maximum amount that should be paid

Particulars Amount ($)

Present value of cash flows during 1 to 5 years $287,013.82

Present value of cash flows during 6 to 10 years $189,198.33

Present value of cash flows during 11 to 20 years $175,100.98

Present value of estimated sale value $57,016.50

Maximum amount that C should pay to JD for store $708,329.63

Therefore, Maximum amount that should be paid $708,329.63