An asset will provide two cash inflows: $10,000 in two years and $25,000 in 10 years. The asset is currently priced at 6% effective.

i) What is the price of the asset?

ii) What is the modified duration of the asset?

iii) What is the convexity of the asset?

iv) Estimate the price if the interest rate changes to 5.9% using both modified duration and convexity

v) Determine the exact price at = 5.9%