Pear Inc. is issuing a zero$-$coupon bond that will have a maturity of $15$ years. The bond's par value is $$1,000$ and the current yield to maturity is $3\mathrm{.}8\%.$ What is the expected price of this bond, using semiannual compounding?

$$881$

$$2,117$

$$569$

$$1,366$

$$367$