Question

After getting her degree in marketing and working for 5 years for a large department store, Sally started her own specialty shop in a regional mall. Sally's current lease calls for payments of $1,000 at the end of each month for the next 60 months. Now the landlord offers Sally a new 5-year lease that calls for zero rent for 6 months, then rental payments of $1,050 at the end of each month for the next 54 months. Sally's cost of capital is 11 percent. By what absolute dollar amount would accepting the new lease change Sally's theoretical net worth?

Answer 1

$3,751.90

Step-by-step explanation:

we must find the present value of both alternatives

alternative 1, keep paying $1,000 per month for 60 months

present value = monthly payment x PV annuity factor

monthly payment = $1,000

PV annuity factor = [1 - 1/(1 + 0.9167%)⁶⁰ ] / 0.9167% = 45.9136

present value = $1,000 x 45.91361 = $45,991.36

alternative 2, pau $1,050 per month for 54 months starting after 6 months

monthly payment = $1,050

PV annuity factor = [1 - 1/(1 + 0.9167%)⁵⁴ ] / 0.9167% = 42.4406

present value in 6 months = $1,050 x 42.4406 = $44,562.63

present value today = $44,562.63 / 1.055 = $42,239.46

Sally's net worth increases by $45,991.36 - $42,239.46 = $3,751.90