FIN 410 Homework #3

.xlsx

School

Pennsylvania State University *

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Course

410

Subject

Finance

Date

Jan 9, 2024

Type

xlsx

Pages

5

Uploaded by paulwatkins

Report
r-us 2.00% Indian Rupee (INR) r-in 2.80% $ US Dollar (USD) INR/USD 80 t US Income PV t India Payments PV 1 $ 80,000.00 $ 78,415.89 1 6,527,722.00 ₹ 6,347,480.93 2 $ 80,000.00 $ 76,863.16 2 6,527,722.00 ₹ 6,172,216.62 3 $ 80,000.00 $ 75,341.16 3 6,527,722.00 ₹ 6,001,791.64 4 $ 80,000.00 $ 73,849.31 4 6,527,722.00 ₹ 5,836,072.37 Total $ 304,469.52 Total 24,357,561.55 A) IN Company takes out a loan equal to the PV of expected earnings in USD $ 304,469.52 B) IN Company lends this amount to US Company, converted to INR at the spot rate. 24,357,561.55 C) US Company pays back this loan in even payments each year. We solve for the coupon 6,527,722.00 US Company uses sales income to make loan payments each year. $ 80,000.00 D) Mili borrows $ 304,469.52 Mili loans -24,357,561.55 = $ (304,469.52) Mili Cash Flow t0 $ - Mili Pharmaceuticals has zero cost at time 0. E) Mili Pays Loan $ (80,000.00) Mili Income $ 80,000.00 Mili USD cash flow $ - Neel Pays Mili 6,527,722.00 Mili INR Cash Flow 6,527,722.00 F) The formula above is similar to a short forward on the INR to USD exchange rate. Mili has made a forward position while hedging her exchange risk. Now, she receives a fixed amount of INR per year rather than having to rely on the exchange rate.
Year 1 3.00% 0.9704 $ 80.00 $ 77.64 $ 80.00 2 4.00% 0.9231 $ 85.00 $ 78.46 $ 82.44 Question 2a 3 4.50% 0.8737 $ 90.00 $ 78.63 $ 84.83 4 5.00% 0.8187 $ 95.00 $ 77.78 $ 87.15 Question 2b Rate (continuous) P(0,t) (Zero Coupon Bond) Forward Price ($/bbl) Discounted price per bbl n-year swap price
Q3 Long Call Q5 K $ 230.00 K C $ 5.20 P t 0.50 t r 0.02 r Breakeven breakeven St $ 235.25 St if St Profit/Share Profit Q4 Short Call Q6 St $ 1,607.00 K K $ 1,600.00 P C $ 13.00 t t 0.01 r r 0.035 breakeven Breakeven St St $ 1,613.00 Max profit if Profit/Share St $ 1,675.00 Total Profit Profit/Share $ (61.9975) Total Profit $ (6,199.75)
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