第一条:You want to buy a TV and you face the following choices:
i) Buy TV at the store using a bank loan. There is no down payment as the bank can take your TV if you default on the loan. The loan is at the annual market rate of 5%. and the loan amount is $2000 to be repaid monthly over 4 years.
(ii) Rent-to-buy from the same store. The monthly rental is $120 for 48 months andthen you pay $1,000 to own the TV.
Which is the cheapest option and what is the present value of its net cost?
第二条: After visiting your car dealers, doing your research on the best leases available, you have three options.
(i) Purchase the car for cash and receive a $1,000 cash rebate from Dealer A. The price of the car is $10,000.
(ii) Lease the car from Dealer B. Under this option, you pay the dealer $500 now and $200 a month for each of the next 36 months (the first $200 payment occurs 1 month from today). After 36 months you pay $8,000 to own the car.
(iii) Purchase the car from Dealer C who will lend you the entire purchase price of the car for a zero interest 36-month loan with monthly payments. The car price is $10,000.Suppose the market interest rate is 6%.
What is the net cost today of the above three options? Which option offers you the cheapest financing?
请问应该要怎样做呀?!!
我想问如果是要用
PV= FV/(1+r)t
或
PV=C*[[1-1/(1-r)t]/r]
这2条算式应该要怎样计算?
因为我不明白(P/A: 6%/12, 36)这种计算, 好像还没有学
而且我想问第一条的(i), 如何知道是PV=2000??
PA就是你说的n个 PV= FV/(1+r)t 这个等比数列求和。例如第一条中的ii) 120*(P/A: 5%/12, 48) 就是120 / (1+5%/12)^1 +120 / (1+5%/12)^2+......+120 / (1+5%/12)^48
建议你用专用的金融计算器算这个数列,或者用电脑上的Excel的=PV()这个函数。实在不行的话就只能按等比数列求和公式Sn=a1(1-q^n)/(1-q) 用普通计算器算这个数列了。
第一条的(i), 根据:The loan is at the annual market rate of 5%. and the loan amount is $2000 to be repaid monthly over 4 years 直接得出PV=2000