Answer to Question #281475 in Finance for suveetha

Question #281475

a) You have RM 33 750 in a brokerage account, and you plan to have an account totals

RM 72 863.72. You expect to earn 8% annually on the account. How many years will it take to reach your goal? (3 Marks)

b) If you deposit RM 27 590 in a bank account that pays 13% interest annually, how much will be in your account after 7 years? (2 Marks) c) How long does it take to double your money, given the interest rate is 10%? (2 Marks)

d) Find the amount to which RM 4000 will grow if it is 11% compounded quarterly for 7 years. (3 Marks)

e) It is now January 1 st 2015, and you will need RM 55 570 on January 1 st 2019, in 4 years. Your bank compounds interest at an 7% annual rate.

i) How much must you deposit today to have balance of RM 55 500 on January 1 st

2019? (2 Marks)

ii) How much do you have to deposit today if the bank uses semi-annually compounding? (3 Marks)

Expert's answer

Answer (a):

PV = RM 33750

FV = RM 72863.72

r = 8% annually





Take log of both side



This means at least 10 years will be needed to reach goal.

Answer (b):

PV = RM 27590

r = 13% interest annually

Time period = 7 years




This means the account will have $64,908.39 after 7 years.

Answer (c):

PV = RM 27590

FV = RM 55180

r = 10% annually





Take log of both side



This means 7 years will be needed to double money.

Answer (d):

PV = RM 4000

r = 11% compounded quarterly

n = 7 years

"FV=PV\\times (1+\\frac{r}{m})^{mn}"

"FV=4000\\times (1+\\frac{0.11}{4})^{4\\times7}"

"FV=4000\\times (1+0.0275)^{28}"


Answer (e):


FV = RM 55570

n = 4 years

r =7% annually





FV = RM 55570

n = 4 years

r =7% annually





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