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Find the present value of $300 due in six years’ time at 8% p.a. compounded annually. 


X must borrow $2000 for 2 years. He is offered the money at: (A) 5% compounded quarterly (B) % 8 3 5 compounded annually (C) % 2 1 5 simple interest Which offer should he accept


A firm plans to invest an amount of money at the beginning of every year in order to acquire a sum of $50,000 at end of 5 years. If the investment rate is 7% p.a., what is the value of the sum


An insurance fund invests Rs. 500,000 at the beginning of each year for five years at an interest rate of 8.5% p.a. Calculate the total amount in the fund at the end of year 5.


  1. A company will have to spend $300000 on new plant in two years from now.

Currently investment rates are at a nominal 10%. (a) What single sum should now be invested, if compounding is six-monthly?


(b) What is the APR?



  1. Find the effective rate (APR) for a nominal rate at


(a) 7% p.a. compounded annually.


(b) 8% p.a. compounded semi-annually.


(c) 10% p.a. compounded quarterly.


(d) 9% p.a. compounded monthly.


  1. Find the time required for $200 to grow to $600 if interest rate is 8.5% p.a. compounded annually. (Round the answer to the nearest month)
  2. Find the accumulate amount of $1000 at the end of year 5 if interest is
  • 8% p.a. for the first year
  • 8.5% p.a. for the second year
  • 9% p.a. for the third and fourth year
  • 8% p.a. in the fifth year
  1. David deposits $10,000 into his savings account that earns interest at 9% p.a. compounded annually for the first 2 years, 8% p.a. compounded semi-annually for the next 3 years and 12% p.a. compounded monthly for the next 2 years. Find the accumulated amount at the end of 7 years.
  2. Find the accumulate amount if (a) $300 is invested at 5.5% p.a. compounded yearly for 3 years? (b) $500 is invested at 7% p.a. compounded quarterly for 4 years? (c) $700 is invested at 12% p.a. compounded monthly for 6 years? (d) $8400 is invested at 4% p.a. compounded quarterly for 5 years?

David bought a radio for $79.95. He paid $19.95 down payment and agreed to pay the balance plus an interest in three months. If the total interest he paid was $6, what is the rate of simple interest in three months?


Find the simple interest of $1000

(a) at 5% per annum for one year


Mang Juan deposit 1000 in rural bank every month.Find the total amount of his deposit in 5month


I borrow £5000 and agree to pay back £6000 after 18 months. Whatever is the annual rate of compound interest?



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