Azero-coupon bond is a security that pays no interest, and is therefore bought at a substantial discount from its face value. if the interest rate is 9% with annual compounding how much would you pay today for a zero-coupon bond with a face value of $1,700 that matures in 4 years?

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?