Question

Antonio would like to replace his golf clubs with a​ custom-measured set. A local sporting goods megastore is advertising custom clubs for ​$710​, including a new bag.​ In-store financing is available at 5.22 ​percent, or he can choose not to renew his ​$600 certificate of deposit​ (CD), which just matured. The advertised CD renewal rate is 5.58 percent. Antonio knows the​ in-store financing costs would not affect his​ taxes, but he knows​ he'll pay taxes​ (25 percent federal and 5.75 percent​ state) on the CD interest earnings. Should he cash the CD or use the​ in-store financing?​ Why?

Answer 1

Answer:

Antonio and Replacement of Golf Clubs

a. He should cash the CD and use the proceeds to finance part of the golf clubs.

b. The reason is that he would pay more in in-store financing totaling $37.06 per annum than the net interest he would generate from the CD totaling $23.18 per annum.  And Antonio would incur a net loss of $13.88 if the CD was renewed unlike the $5.74 if the CD were not renewed.

Explanation:

Option 1: Renew Certificate of Deposit (CD):

Interest earned  = $33.48 ($600 * 5.58%)

Taxes                  =   10.30 ($33.48 * 30.75%)

Net Income         = $23.18

Cost of in-store financing = $37.06 ($710 * 5.22%)

Net Loss(overall) = $13.88 ($37.06 - $23.18)

Option 2:

Sale-off of CD = $600

Net financing required = $110 ($710 - $600)

Cost of financing = $5.74 ($110 * 5.22%)