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4. What is the future value of $15,000 saved at i=38.45% , compounded quarterly in 2...

4. What is the future value of $15,000 saved at i=38.45% , compounded quarterly in 2 years?

5. Suppose you save $19,000 per year in an ordinary annuity promising you an interest rate of i=7.625% compounded once per year. How much will you have after 35 years?

6. A risk-free bond will pay you $1,000 in 1 year. The annual discount rate is i=19.69% compounded annually.  What is the bond’s present value?

7. A risk-free bond will pay you $1,000 in 2 years and nothing in between. The annual discount rate is i=67.5% compounded annually.  What is the bond’s present value?

Solutions

Expert Solution

4)

Future value PV×(1+r)^n
Here,
A Interest rate per annum 38.45%
B Number of years                                           2
C Number of compoundings per per annum                                           4
A÷C Interest rate per period ( r) 9.61%
B×C Number of periods (n)                                           8
Present value (PV) $                            15,000
Future value 31,258.77
15000×(1+9.61%)^8

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