Answer:
a.
Future value - Cash Reserve = $212241.6
b.
Present value of deposit = $140712.615333 rounded off to $140712.62
Explanation:
a.
To calculate the value of cash reserve in 3 years, we will calculate the future value of the cash flow using the following formula,
Future value = Present value * (1 + r)^t
Where,
- r is the rate of interest or return
- t is the number of periods
Future value - Cash Reserve = 200000 * (1+2%)^3
Future value - Cash Reserve = $212241.6
b.
To calculate the amount of deposit today, we need to calculate the present value of $1 million which are after 50 years from today. The formula to calculate the present value is as follows,
Present Value = Future value / (1 + r)^t
Where,
- r is the interest rate or rate of return or discount rate
- t is the number of periods
Present value = 1000000 / (1+4%)^50
Present value = $140712.615333 rounded off to $140712.62
