Johnson Hardware wants to construct a new building at a second location. If construction could begin immediately, the cost would be $500,000. At this time, however, the owners do not have the required 20% down payment, so they plan to invest $2000 per month of their profits until they have the necessary amount. They can invest their money in an annuity account that pays 6% compounded monthly, but they are concerned about the 3% average inflation rate on construction costs. They would like you to give them some projections about how 3% inflation will affect the time required to save up for the down payment and the building's cost. They would also like to know how their projected profits, after the new building is complete, will affect their schedule for paying off the construction loan. 1. If the 3% inflation rate is accurate, how long will it take take to get the down payment?
2. If the 3% inflation rate is accurate, what will the Johnson's total construction costs be when they have the money for the down payment?
3. If Johnson Hardware, borrows 80% of construction costs at 7.8% compounded monthly for 15 years, what will the monthly payment be?
4. What is the total amount that the Johnson's will spend on the new building? How much is interest?