Question

Calculate the present value on 28 March 2019 of $12,000 due on 15 October 2019 at...

  1. Calculate the present value on 28 March 2019 of $12,000 due on 15 October 2019 at a simple interest rate of 9% pa. Give your answer in dollars and cents to the nearest cent. This days between dates calculator may assist you.

P = $

  1. Find the nominal annual rate of interest convertible daily (j365) that is equivalent to 6% pa effective. Give your answer as a percentage per annum to 3 decimal places.

j365 =

% pa

  1. Calculate the accumulated value (S) that payments of $20 per month (paid at the end of the month) will accumulate to after 11 years if interest is paid at a rate of 8% pa compounded monthly. Give your answer in dollars and cents to the nearest cent.

S = $

  1. Calculate the simple interest rate pa that must be earned for $50,000 invested on 10 May 2019 to be worth $52,638.55 on 19 November 2019. Give your answer as a percentage per annum to 2 decimal places. This days between dates calculator may assist you.

r =                   % pa

  1. Wai Ling invests $3,587 at 2% pa simple interest and this investment grows over time to $3,677.81. Calculate the time period (t) over which Wai Ling made the investment. Give your answer in days rounded to the nearest day.

t =                days

  1. Calculate the discounted (present) value (P) at 9.69% pa simple interest of a payment of $67,000 due at the end of 3 months. Give your answer in dollars and cents to the nearest cent.

P = $

  1. If $80,000 is paid at the end of each year for 15 years, calculate the equivalent single payment now (P) if interest is 20% pa effective. Give your answer in dollars and cents to the nearest cent.

P = $

  1. An amount of $4,000 is invested on 27 August 2019 at 6% pa compounded quarterly. Calculate the interest (I) earned between 27 August 2022 and 27 August 2025. Give your answer in dollars and cents to the nearest cent.

I = $

  1. Calculate the amount of money that a person must have in a bank today (the beginning of the year) to be able to withdraw $850 at the end of each month for the next 10 years if the bank pays interest compounded monthly at j12 = 14.5% pa. Give your answer in dollars and cents to the nearest cent.

Account balance = $

  1. Calculate the amount of money you should invest now, in an account earning 6.1% pa simple interest, in order to have $10,000 after 1 months. Give your answer in dollars and cents to the nearest cent.

Amounted invested = $

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