Morty Company will receive $$400,000$ in $7$ years. If the interest rate is $10\%,$ what will be

the present value of the $$400,000$ receipt?

Jason would like to have $$5,000,000$ when he retires in $30$ years. Assuming he can earn

a $10\%$ annual return, what does he need to invest today?

Dayton Company will receive $$500,000$ in a future year. If the future receipt is discounted

at an interest rate of $10\%,$ its present value is $$256,580,$ how many years will it take to

receive $$500,000?$

What interest rate must Karen earn on a $$452,000$ investment today so that she will

have $$1,140,000$ after $12$ years?

Rachael is contemplating purchasing a single premium annuity from an insurance

company. The insurance company is promising to pay $$600,000$ after $8$ years. They are

estimating a $5\%$ annual return. How much will Rachel have to pay the insurance company

today?