$13.$ Mick Jadestone buys a used touring van for the Rolling Boulders. He agrees to pay a $$2000\mathrm{.}00$ down payment and $$4000\mathrm{.}00$ at the end of each year for the next $4$ year.What is the selling price of the van if the nominal rate is $7\%$ c$.$s$.$a$.?$

$14.$ Wilma borrowed $$15,400\mathrm{.}00$ that she must repay in $60$ equal monthly payments of $$358\mathrm{.}33.$ Calculate the interest rate she is being charged as a nominal rate compounded monthly. Round the answer to the nearest $0\mathrm{.}001\%.$

$15$ Fred buys a Ferrari for $$150,000\mathrm{.}00.$ He makes a down payment of $$20,000\mathrm{.}00$ and signs a note to repay the remainder at $4\%$ c$.$m$.$ in equal monthly payments over $6$ years.

A$)$Calculate the amount of the monthly payment.

b$)$ Calculate the total interest charge. c$)$ Calculate the balance of the loan after $30$ months..

$20.$ Calculate the cash price of a $$1000\mathrm{.}00$ bond purchased on April $15,2024,$ at a yield rate of $4\mathrm{.}5\%.$ The bond rate is $4\%$ and the date of maturity is January $1,2039.$