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$16$:

Erik places $$15,000$ into an investment today that earns $8\mathrm{.}05\%$ compounded semiannually and matures in $42$ months. Alex will wait until $15$ months from today to make an investment that earns $8\mathrm{.}25\%$ compounded annually and maturing at the same time as Erik's investment. How much must Alex invest in $15$ months in order to have the same maturity value as Erik?

a$.$ Enter the appropriate values in the blanks below and compute the value of Erik's investment in $42$ months.

$N=$ A

$P\frac{Y}{C}Y=PV=$ As

$FV=$

A

b$.$ Enter the appropriate values in the blanks below and compute Alex's require investment $15$ months from today.