Homework Clinic

Social Science Clinic => Business => Topic started by: mp14 on Jun 7, 2019

Title: Molly needs to decide whether to buy a water heater for $2200 cash and enter a service contract ...
Post by: mp14 on Jun 7, 2019

Question 1

Nick has a choice to pay $1499 for a TV now or pay $1599 3 years from now. What should be the minimum interest rate at which Nick should invest $1499 to make a decision to pay 3 years from now?
◦ 6.67%
◦ 0.725%
◦ 2.176%
◦ 3%
◦ 6.528%

Question 2

Molly needs to decide whether to buy a water heater for $2200 cash and enter a service contract requiring a payment of $30 at the end of every 3 months for 10 years or to enter a 10 years lease requiring a payment of $90 at the beginning of every 3 months. If the leased water heater can be bought after 10 years for $80, should Molly buy or lease the water heater, if money is compounded quarterly at 2.5%?
Title: Molly needs to decide whether to buy a water heater for $2200 cash and enter a service contract ...
Post by: JaynaD87 on Jun 7, 2019

Answer 1

2.176%

Answer 2

Present value of cash payment for the water heater = $2200
For PMT = $30;n = 40;P/Y = 4; C/Y = 4; I/Y = 2.5%; i = 0.625%
Present value of the service contract involves an ordinary annuity = $30 = $1058.85
Present value of decision to buy the water heater = $3258.85

For PMT = $100; n = 40; i = 0.625%
Present value of the lease payment annuity due = $90 × 1.00625 × = $3196.39
Present value of the purchase price after 10 years = $80 × 1.00625-40= $62.35
Present value for the decision to lease = $3258.74

Both options result into the same economic value, within the rounding error.
Title: Molly needs to decide whether to buy a water heater for $2200 cash and enter a service contract ...
Post by: mp14 on Jun 7, 2019
TY
Title: Molly needs to decide whether to buy a water heater for $2200 cash and enter a service contract ...
Post by: JaynaD87 on Jun 7, 2019
You're welcome