Question
Assume that 10-year zero coupon Indian rupee debt is sold by the Indian government to domestic investors at a yield APY of 10% per annum.
Assume that 10-year zero coupon Indian rupee debt is sold by the Indian government to
domestic investors at a yield APY of 10% per annum. Suppose that World Bank, a AAA rated
entity world-wide with no default risk, wishes to issue rupee debt of the same maturity on
the same date. World Bank can sell matching maturity dollar debt at yield of 4% per annum.
The rupee trades on the issue date at INR 60 = 1$. An investor wishing to buy or sell rupees
10-year forward will pay INR 107.45 = $1, which is equivalent to an annual currency
depreciation rate of 6% per annum.
Assume that investors are rational and that taxation is symmetric in the sense that all
investors in debt are subject to a single tax rate that cannot be avoided or evaded (That is,
this question is not about taxes). Use analytic frameworks of the sort taught to you in the
course to answer this question.
Assuming perfect markets of the sort in the Modigliani-Miller (MM) theorems, discuss
why World Bank rupee debt should be priced to yield 10% per annum.
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