Mr.Wong want to purchase an apartment for $200000. A Bank is prepared to load him $150000. The loan repayments to the bank are to be made on a monthly basis for a term of 15 years, and the stated annual interest rate quoted by the bank is 9.25% p.a., compounded monthly.
a. What will be the amount of his monthly loan repayments?
b. Immediately after paying the 36th loan repayment, Mr.Wong wishes to pay out the loan in full. How much will be needed to pay out the loan at this time?
計按揭 - loan payment
2006-12-13 1:43 am
回答 (1)
2006-12-15 6:52 am
✔ 最佳答案
a)To solve this problem, you have to get the effective monthly interest rate first
Effective montly interest rate =9.25/12 = 0.7708
Monthly payment is an annuity
So, you can use the annuity equation to calculate the payment
b)
Use annuity equation to calculate the present value (PV) of 36 months payment. Then subtract PV of 36 months payment by the PV of the total loan. Then calculate the future value of the answer using 36 months as the period.
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