would like to get help with these questions

1- Suppose that you obtain a mortgage loan of 200.000 TL in order to buy an apartment. You would like to give the apartment for rent. Your plan is to pay the loan installments with your rent income. That's why, the periodic rent amount must exactly match with periodic installment amounts. The loan agreement has a maturity of 10 years and annual rate of 10%, while the rent agreement ends in 5 years and has an annual rate of 8%. Both agreements require monthly payments. What would be the approximate present value of expected rent payments to you?

a) 130.350 TL

b) 321.560 TL

c) 123.390 TL

d) 102.075 TL

e) Other:

2- Suppose that you have a bargain with the bank officer to obtain a loan. The loan amount is 500.000 TL and the maturity is 8 years. Annual market interest rate is 8%. Yearly payments will be made. The problem is that you cannot afford the required periodic installments under these conditions. Instead, you offer the bank to pay 30.000 TL as yearly installments and to make a lumpsum amount of payment at maturity. If the bank accepts your offer, what would be that lumpsum amount approximately?

a) 589.228 TL

b) 532.464 TL

c) 606.366 TL

d) 658.666 TL

e) Other:

3- Net asset value (NAV) of an investment fund is calculated as total portfolio value divided by number of fund shares. Accordingly, if the total portfolio value is 100.000 TL and the number of shares is 55.000, then the NAV would be 100.000 TL/55.000 = 1,818 TL. Now, suppose that you are a portfolio manager of a bond fund that has 20.000 fund shares outstanding. You consider 3 investments for your portfolio: (a) A T-bill that has a 194 day maturity with a face value of 10.000 TL. (b) A zero-coupon bond that has a 10 year maturity with a face value of 100.000 TL. (c) A bond that pays quarterly coupon payments with an annual coupon rate of 12%, a face value of 50.000 TL and a maturity of 5 years. You know that the annual market yields are 10%. If you invest them all right now, what would be the NAV of your fund at the time of investment? (1 year = 360 days)

a) 1,853 TL

b) 4,715 TL

c) 4,901 TL

d) 5,096 TL

e) Other:

4- Suppose that the effective annual rate of return for a t-bill investment is 9,90%. This t-bill has a 60 day maturity and a face value of 1.000 TL. What is the discount yield for this particular t-bill? (1 year = 360 days)

a) 9,37%

b) 9,27%

c) 9,47%

d) 9,57%

e) Other:

5- Your manager knows that you are an expert in calculating the duration of bonds. But, he asks you that whether it is possible to calculate the duration of a loan instead. Suppose that the loan has an amount of 100.000 TL, a maturity of 3 years, an annual market interest rate of 12%, and semi-annual payments. What can be the approximate duration of such a loan?

a) 2,03 years

b) 1,67 years

c) 1,89 years

d) 2,54 years

e) Other: