Consider a homebuyer/investor who plans to buy a new house, the price of which is $ 500,000. Suppose the buyer does not have any initial savings for the down payment. To buy the house, he needs to borrow $ 500,000 from a bank in the form of a mortgage loan. The mortgage is a 30-year- xed-rate mortgage. After buying the house, the buyer budget is $ 30,011 per year. That is, if the mortgage asks him to repay more than $ 30,011 per year (this happens when the interest rate is too high), then he cannot a ord it and would choose not to buy this house. Derive the investment of this buyer as a function of interest rate r.

Kiona co. set up a petty cash fund for payments of small amounts. the following transactions involving the petty cash fund occurred in may (the last month of the company's fiscal year). may 1 prepared a company check for $350 to establish the petty cash fund. 15 prepared a company check to replenish the fund for the following expenditures made since may 1. a. paid $109.20 for janitorial services. b. paid $89.15 for miscellaneous expenses. c. paid postage expenses of $60.90. d. paid $80.01 to the county gazette (the local newspaper) for an advertisement. e. counted $26.84 remaining in the petty cashbox. 16 prepared a company check for $200 to increase the fund to $550. 31 the petty cashier reports that $380.27 cash remains in the fund. a company check is drawn to replenish the fund for the following expenditures made since may 15. f. paid postage expenses of $59.10. g. reimbursed the office manager for business mileage, $47.05. h. paid $48.58 to deliver merchandise to a customer, terms fob destination. 31 the company decides that the may 16 increase in the fund was too large. it reduces the fund by $50, leaving a total of $500.

How much are you willing to pay for a zero that matures in 10 years, has a face value of $1,000 and your required rate of return is 7%? round to the nearest cent. do not include a dollar sign in your answer. (i.e. if your answer is $432.51, then type 432.51 without $ sign)

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year.a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs.b. calculate the eoq.c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?