A bond has a face value of $1000, fixed coupon rate of 15% and 3 years to maturity. The discount rate is 10.0%. If Macaulay duration equals to 2.65, what is modified duration in this case? State the answer as a number with 2 decimals (for example, 3.12).

What is the yield to maturity on a simple loan for $1 million that requires a repayment of $2 million in 5 years’ time? State the answer as a number with 2 decimals without % sign. For example, 5.55 is a correct answer, while 5.55% or 0.055 are not correct.

If an investor wants to receive 500000 euros and the expected yield on the 11-year bond is 6.4% then what would be the amount of an initial investment? State the answer as a number with 2 decimals without any currency sign.

If investors require a 6.0 percent return on a 30-year discount bond with a $10000 face (par) value, what is the price that they are willing to pay? State the answer as a number with 2 decimals without $ sign.

One-year zero coupon bond with a face value of $1000 is selling at $970. What is the yield to maturity of this bond? State the answer as a number with 2 decimals without % sign. For example, 5.55 is a correct answer, while 5.55% or 0.055 are not correct.

Ten year German government bond yield is 3.7 %. The yield for Betaland's government bond is 9.2%. These are annual yields. 

Assuming German government bond risk-free, what is the expected probability of default of Betaland for the next 10 years?

If EUR/USD=1.37 and EUR/JPY=151.02 then what would be the exchange rate for USD/JPY which excludes the possibility of arbitrage?

Let us assume that the one year risk-free interest rate is 3.9%. Now imagine that the yield of corporate bond maturing one year from today is 17.4%. The current market price of corporate bond is 169.21 EUR.

Please calculate the probability of default of the corporate bond i.e. the likelyhood that the corporation will default in one year.

  Present your answer in percent without inserting percentage sign (%). 

Let us assume the following deposit rates 

Please calculate the expected forward interest rate for deposit starting at the end of first year and lasting one year (one year forward rate).