Question

In: Finance

The Copper Mountain​ Group, a private equity firm headquartered in​ Boulder, Colorado, borrows £4,500,000 for one...

The Copper Mountain​ Group, a private equity firm headquartered in​ Boulder, Colorado, borrows £4,500,000 for one year at 8.375​% interest.

a. What is the dollar cost percent of this debt if the pound depreciates from $2.0210​/£ to $1.9430​/£ over the​ year?

b. What is the dollar cost percent of this debt if the pound appreciates from $2.0210​/£ to $2.1620​/£ over the​ year?

Solutions

Expert Solution

Depreciating pound Appreciating pound
Amount borrowed (£)                   4,50,00,000                        4,50,00,000
r Interest rate (£) p.a. 8.375% 8.375%
S1 Spot rate ($/£) (Start of the year) 2.0210 2.0210
S2 Spot rate ($/£) (End of the year) 1.9430 2.1620
Principcal P (£)                   4,50,00,000                        4,50,00,000
(I = P*r) Interest (£)                      37,68,750                           37,68,750
(A = P+I) Amount due at the end of the year (£)                   4,87,68,750                        4,87,68,750
(A2 = A*S2) Amount due ($)             9,47,57,681.25               10,54,38,037.50
(A1 = A*S1) Amount borrowed ($)             9,09,45,000.00                  9,09,45,000.00
(A2/A1 -1) US dollar cost of debt 4.1923% 15.9360%

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