[商管] [財管] 102政大財管
1.you want to buy a car and need to choose between the low finance rate
and the cash duscount. In the first option, you can enjoy the 3% APR
financing for 48 months. In the second option you face a 7.2%APR loan for
48months but can get a cash reward of 15000 for the down payment. If the
car is worth 250000 which option you will choose? please find the difference
in the monthly payment between the two choices.
首先第一個問題
答案給的option 2的算法為第一期可獲得cash reward 15000
所以250000-15000/(1+7.2%/12)=PMT*PVIFA(7.2%/12,48)
得到PMT為5651.35
但我認為cash reward應該是在一開始就扣掉而非第一期
所以我的算法:
250000-15000=PMT*PVIFA(7.2%/12,48)
求得PMT=5649.2 因為題目並未提到cash reward是在第一期
所以關於這點我在想是不是答案有問題
在來題目問兩個方案該選哪個
我認為第一個方案的現值為250000 第二個方案的現值為250000-15000=235000
所以應該選第二個 因為較便宜
但答案中是解釋因為option 1算出來的PMT=5533.58
比option 2的PMT小所以選方案一
而我們在做決策時不是應該根據淨現值(NPV)大小來決定嗎?
是我的想法有誤還是答案錯了?
煩請各位高手幫我解答
謝謝!!
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