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# 1.Suppose you borrow \$20,

1.Suppose you borrow \$20,000 at t=0 and the interest rate on the loan is 12.3% p.a. You amortize the loan in three installments by making equal payments at t=7, t=8 and t=9. What is the value for those three installments? 2.Suppose you deposit \$12,345 today in an account that pays for the 1st year 14% p.a. compounded monthly, and for the 2nd year x% p.a. compounded daily. At t=1, how much money will you have in this account? At t=2, suppose you have \$15,680.64 in this account. What is the value of rate x? 3.Suppose there is a zero-coupon bond with face value of \$4,567.89. You buy this bond at t=0, maturity = 13 years and the YTM is 6.6% p.a. You sell this bond what is your annualized HPY? 4A bond has a coupon rate of 16% p.a. and a face value of \$5,000. The interest is paid quarterly and the bond has 10 years to maturity. At t=0, if the YTM on this bond is 18% p.a. What is the price of this bond? 5You plan to make a series of deposits in an IRA. You will deposit \$1,500 today, \$3,000 at the end of 2nd year and \$4,000 at the end of the 5th year. From this IRA you withdraw \$2,000 at the end of 3rd year, and you withdraw another \$2,000 at the end of the 7th year. What will be the balance in your IRA at the end of the 8th year if interest rate is 10.7% p.a?